Publications Discrete Mathematics

2023

Benjamin Earp-Lynch, Bernadette Faye, Eva G. Goedhart, Ingrid Vukusic, and Daniel P. Wisniewski. On a simple quartic family of Thue equations over imaginary quadratic number fields. Acta Arithmetica, 2023(208):355–389, 2023.
Christian Elsholtz, Clemens Heuberger, and Daniel Krenn. Algorithmic counting of nonequivalent compact Huffman codes. Applicable Algebra in Engineering, Communication and Computing, 2023.
C Fuchs and Sebastian Heintze. Approximation of values of algebraic elements over the ring of power sums. Journal de Theorie des Nombres de Bordeaux, 35(1):63–86, 2023.
Clemens Fuchs and Sebastian Heintze. Correction to: A polynomial variant of diophantine triples in linear recurrences (Periodica Mathematica Hungarica, (2023), 86, 1, (289-299), 10.1007/s10998-022-00460-y). PERIODICA MATHEMATICA HUNGARICA, 86(1):300, 2023.
Elisabeth Gaar and Daniel Krenn. A characterization of graphs with regular distance-2 graphs. Discrete Applied Mathematics, 324:181–218, 2023.
Sebastian Heintze, Robert F. Tichy, Ingrid Vukusic, and Volker Ziegler. On the Diophantine equation U<sub>n</sub> − b<sup>m</sup> = c. MATHEMATICS OF COMPUTATION, 92(344):2825–2859, 2023.
Clemens Heuberger and Daniel Krenn. k-Regular sequences in SageMath. 2023.
Clemens Heuberger, Daniel Krenn, and Gabriel Lipnik. A Note on the Relation between Recognisable Series and Regular Sequences, and Their Minimal Linear Representations. Journal of Symbolic Computation, 2023.
Tobias Hilgart. On families of cubic split Thue equations parametrised by linear recurrence sequences. Publicationes Mathematicae Debrecen, 2023(102 / 3-4):439–457, 2023.
Ingrid Vukusic and Volker Ziegler. On a family of unit equations over simplest cubic fields. Journal de théorie des nombres de Bordeaux, 34(3):705–718, 2023.
Ingrid Vukusic and Volker Ziegler. On sums of two Fibonacci numbers that are powers of numbers with limited hamming weight. Quaestiones Mathematicae, 2023.
Volker Ziegler. On a variant of Pillai's problem with binary recurrences and S-units. International Journal of Number Theory, 19(7):1473–1511, 2023.
Volker Ziegler and Japhet Odjoumani. On prime powers in linear recurrence sequences. Annales Mathematiques du Quebec, 2023.

2022

C Fuchs and Sebastian Heintze. On the growth of multi-recurrences. Archiv der Mathematik, 119(5):489–494, 2022.
Tobias Hilgart, Ingrid Vukusic, and Volker Ziegler. On a family of cubic Thue equations involving Fibonacci and Lucas numbers. Integers, 2022.
Daniel Krenn, Elisabeth Gaar, Angelika Wiegele, and Susan Margulies. Towards a computational proof of Vizing's conjecture using semidefinite programming and sums-of-squares. Journal of Symbolic Computation, 107:67–105, 2022.
Daniel Krenn and Jeffrey Shallit. Decidability and k-Regular Sequences. Theoretical Computer Science, 907:34–44, 2022.
R. Tichy, I. Vukusic, D. Yang, and V. Zeigler. On a variant of Pillai's problem with transcendental numbers. Acta Mathematica Hungarica, 166(2):650–666, 2022.
Volker Ziegler. On a variant of Pillai's problem involving S-units and Fibonacci numbers. Boletin de la Sociedad Matematica Mexicana, 2022.

2021

Clemens Fuchs and Sebastian Heintze. A Polynomial Variant of Diophantine Triples in Linear Recurrences. Periodica Mathematica Hungarica, 86(1):289–299, 2021.
Clemens Fuchs and Sebastian Heintze. A function field variant of Pillai's problem. Journal of Number Theory, 222:278–292, 2021.
Clemens Fuchs and Sebastian Heintze. Another S-unit variant of Diophantine tuples. Proceedings of the American Mathematical Society, 149(1):27–35, 2021.
Clemens Fuchs and Sebastian Heintze. Diophantine equations in separated variables and polynomial power sums. Monatshefte für Mathematik, 196(1):59–65, 2021.
Clemens Fuchs and Sebastian Heintze. Integral zeros of a polynomial with linear recurrences as coefficients. Indagationes Mathematicae, 32(3):691–703, 2021.
Clemens Fuchs and Sebastian Heintze. Norm form equations with solutions taking values in a multi-recurrence. Acta Arithmetica, 198(4):427–438, 2021.
Clemens Fuchs and Sebastian Heintze. On the growth of linear recurrences in function fields. Bulletin of the Australian Mathematical Society, 104(1):11–20, 2021.
Clemens Fuchs and Sebastian Heintze. Perfect powers in polynomial power sums. 2021.
Clemens Heuberger, Daniel Krenn, and Gabriel Lipnik. Asymptotic Analysis of q-Recursive Sequences. Algorithmica, 84(9):2480–2532, 2021.
Robert Tichy, Ingrid Vukusic, Daodao Yang, and Volker Ziegler. Integers representable as differences of linear recurrence sequences. Research in Number Theory, 2021.
Ingrid Vukusic. On a cubic family of Thue equations involving Fibonacci numbers and powers of two. Quaestiones Mathematicae, 2021.
Ingrid Vukusic and Volker Ziegler. Consecutive tuples of multiplicatively dependent integers. JOURNAL OF NUMBER THEORY, 2021.
Ingrid Vukusic and Volker Ziegler. On sums of Fibonacci numbers with few binary digits. Publicationes Mathematicae Debrecen, 2021.
Volker Ziegler. Finding all S-Diophantine quadruples for a fixed set of primes S,. Monatsh. Math., 2021.
Volker Ziegler. Irrationality of Growth Constants Associated with Polynomial Recursions. Journal of Integer Sequences, 2021.

2020

Clemens Heuberger and Daniel Krenn. Asymptotic Analysis of Regular Sequences. Algorithmica, 82(3):429–508, 2020.
Daniel Krenn, Vorapong Suppakitpaisarn, and Stephan Wagner. On the minimal Hamming weight of a multi-base representation. Journal of Number Theory, 208:168–179, 2020.
Günter Maresch, Ingrid Vukusic, Alexandra Dankl, and Andreas Tiefgraber. NEU seit November 2020: Online-Suche von IBDG-Beiträgen. Informationsblätter der Geometrie, 39(2):4–5, 2020.
Gisbert Wüstholz and Clemens Fuchs. Algebra. 2020.

2019

Martin Aumüller, Martin Dietzfelbinger, Clemens Heuberger, Daniel Krenn, and Helmut Prodinger. Dual-Pivot Quicksort: Optimality, Analysis and Zeros of Associated Lattice Paths. Combinatorics Probability and Computing, 28(4):485–518, 2019.
Clemens Fuchs, Christina Karolus, and Dijana Kreso. Decomposable polynomials in second order linear recurrence sequences. MANUSCRIPTA MATHEMATICA, pages 321–326, 2019.
Clemens Fuchs and Christina Magdalena Karolus. Composite values of polynomials power sums. Ann. Math. Blaise Pascal, pages 1–24, 2019.
Elisabeth Gaar, Daniel Krenn, Susan Margulies, and Angelika Wiegele. An Optimization-Based Sum-of-Squares Approach to Vizing's Conjecture. In Proceedings of the 2019 on International Symposium on Symbolic and Algebraic Computation, 155–162. 2019.
Bo He, Alain Togbe, and Volker Ziegler. There is no Diophantine Quintuple. Transactions of the American Microscopical Society, 2019.
Clemens Heuberger and Daniel Krenn. Esthetic Numbers and Lifting Restrictions on the Analysis of Summatory Functions of Regular Sequences. In 2019 Proceedings of the Sixteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO), 27–35. 2019.
Japhet Odjoumani, Alain Togbe, and Volker Ziegler. On a family of biquadratic fields that do not admit a unit power integral basis. Publicationes Mathematicae, 2019.
Marton Szikszaj and Volker Ziegler. On arithmetic progressions in Lucas sequences - II. Journal of Number Theory, 2019.
Gisbert Wüstholz and Clemens Fuchs. Arithmetic and Geometry: Ten Years in Alpbach (AMS-202). 2019.
Volker Ziegler. Effective results for linear equations in members of two recurrence sequences. Acta Arithmetica, 2019.
Volker Ziegler. On the existence of S-Diophantine quadruples,. Glasnik Matematicki, 2019.

2018

K.C Chim, I Pink, and V Ziegler. On a variant of Pillai's problem II. Journal of Number Theory, 183:269–290, 2018.
Kwok Chi Chim and Volker Ziegler. On Diophantine Equations involving sums of Fibonacci numbers and powers of 2. INTEGERS, 2018.
Clemens Fuchs, Christoph Hutle, and Florian Luca. Diophantine triples in linear recurrences of Pisot type. Research in Number Theory, pages 4:29, 2018.
Clemens Fuchs, Vincenzo Mantova, and Umberto Zannier. On fewnomials, integral points, and a toric version of Bertini's theorem. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, pages 107–134, 2018.
Clemens Heuberger, Daniel Krenn, and Helmut Prodinger. Analysis of Summatory Functions of Regular Sequences: Transducer and Pascal's Rhombus. In Proceedings of the 29th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, volume 110, 27:1–27:18. 2018.
D Krenn and Volker Ziegler. Non-minimality of the width-ω non-adjacent form in conjunction with trace one τ-adic digit expansions and Koblitz curves in characteristic two. Mathematics of Computation, 87(310):821–854, 2018.
Istvan Pink and Volker Ziegler. Effective Resolution of Diophantine equations of the form $u_n+u_m=wp_1^z_1\dots p_s^z_s$. Monatshefte für Mathematik, pages 103–131, 2018.
Arne Winterhof, Oguz Yala, and Volker Ziegler. Non-Existence of some nearly perfect sequences, near Buston-Hadamard matrices, and near Conference matrices. Mathematics in Computer Science, pages 465–471, 2018.

2017

A Bérczes, F Luca, I Pink, and V Ziegler. Trinomials with integral S-unit coefficients having a quadratic factor. Indagationes Mathematicae, 28(6):1200–1209, 2017.
Kwok Chi Chim, István Pink, and Volker Ziegler. On a Variant of Pillai’s Problem. International Journal of Number Theory, pages 1711–1727, 2017.
Clemens Fuchs and Lajos Hajdu. 30 years of collaboration. PERIODICA MATHEMATICA HUNGARICA, pages 225–274, 2017.
Clemens Fuchs, Christoph Hutle, Nurretin Irmak, Florian Luca, and Laszlo Szalay. Only finitely many tribonacci Diophantine triples exist. Mathematica Slovaca, pages 853–862, 2017.
L Hajdu, M Szikszai, and Volker Ziegler. On Arithmetic Progressions in Lucas Sequences. Journal of Integer Sequences, 2017.
Maria-Rita Iaco and Volker Ziegler. Discrepancy of Generalized LS-Sequences. Uniform Distribution Theory, pages 37–63, 2017.
Daniel Krenn. An extended note on the comparison-optimal dual-pivot quickselect. In 2017 Proceedings of the Fourteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO), 115–123. 2017.
Manfred Madritsch, Paul Surer, and Volker Ziegler. On multiplicative independent bases for canonical number systems in cyclotomic number fields. 2017.

2016

Martin Aumüller, Martin Dietzfelbinger, Clemens Heuberger, Daniel Krenn, and Helmut Prodinger. Counting Zeros in Random Walks on the Integers and Analysis of Optimal Dual-Pivot Quicksort. In Proceedings of the 27th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms. 2016.
A Bérczes, F Luca, Istvan Pink, and V Ziegler. Finiteness results for Diophantine triples with repdigit values. Acta Arithmetica, 172(2):133–148, 2016.
Clemens Fuchs, Christoph Hutle, Florian Luca, and Laszlo Szalay. Diophantine triples and k-generalized Fibonacci sequences. Bulletin of the Malaysian Mathematical Sciences Society, 41:1449–1465, 2016.
Clemens Fuchs, A Jurasić, and Roland Paulin. Elementary resolution of a family of quartic Thue equations over function fields. Monatshefte für Mathematik, 180(2):205–211, 2016.
Clemens Fuchs and D.H Pham. Some applications of the p-adic analytic subgroup theorem. Glasnik Matematicki, 51(2):335–343, 2016.
Peter Hellekalek. On the 3x+1 conjecture. 2016.
Peter Hellekalek, P Kritzer, and F Pillichshammer. Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces. Journal of Complexity, 2016.
Clemens Heuberger, Daniel Krenn, and Sara Kropf. Automata in SageMath—Combinatorics Meets Theoretical Computer Science. Discrete Math. Theor. Comput. Sci., 2016.
Daniel Krenn and Stephan Wagner. Compositions into Powers of $b$: Asymptotic Enumeration and Parameters. Algorithmica, 75(4):606–631, 2016.
Volker Ziegler and Markus Hofer. On corner avoidance of β-adic Halton sequences,. Annali di Matematica Pura ed Applicata, 2016.

2015

Guy Barat, Peter J.Grabner, and Peter Hellekalek. Pierre Liardet (1943-2014) In Memoriam. Newsletter of the European Mathematical Society, pages 52–58, 2015.
Daniel Dombek, Z Masakova, and Volker Ziegler. On distinct unit generated fields that are totally complex. Journal of Number Theory, 2015.
Clemens Fuchs and Duc Hiep Pham. Commutative algebraic groups and p-adic linear forms. Acta Arithmetica, pages 115–147, 2015.
Clemens Fuchs and Duc Hiep Pham. The p-adic analytic subgroup theorem revisited. p-Adic Number, Ultrametric Analysis and Applications, pages 143–156, 2015.
Clemens Heuberger, Daniel Krenn, and Stephan Wagner. Canonical Trees, Compact Prefix-free Codes and Sums of Unit Fractions: A Probabilistic Analysis. SIAM Journal on Discrete Mathematics, 29(3):1600–1653, 2015.
Daniel Krenn, Dimbinaina Ralaivaosaona, and Stephan Wagner. Multi-Base Representations of Integers: Asymptotic Enumeration and Central Limit Theorems. Applicable Analysis and Discrete Mathematics, 9(2):285–312, 2015.
Gerhard Larcher and Wolfgang Ch Schmid. Harald Niederreiter at 70. Uniform Distribution Theory, pages i–v, 2015.
Manfred Madritsch and Volker Ziegler. An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields. Acta Scientiarum Mathematicarum, 2015.
Manfred Madritsch and Volker Ziegler. On multiplicatively independent bases in cyclotomic number fields. Acta Mathematica Hungarica, 2015.
Volker Ziegler and Laszlo Szalay. S-Diophantine quadruples with S=2,q. International Journal of Number Theory, 2015.

2014

Christoph Aistleitner, Markus Hofer, and Volker Ziegler. On the uniform distribution modulo 1 of multidimensional LS-sequences. Annali di Matematica Pura ed Applicata, 2014.
Attila Bérczes and Volker Ziegler. On Simultaneous Palindromes. Journal of Combinatorics and Number Theory, 2014.
Christopher Frei, Robert Tichy, and Volker Ziegler. A note on sums of S-integers of bounded norm. Monatshefte für Mathematik, 2014.
Clemens Fuchs. On Some Applications of Diophantine Approximations. 2014.
Clemens Fuchs and Gisbert Wüstholz. Übungen zur Algebra. 2014.
Clemens Fuchs and Umberto Zannier. Integral points on curves: Siegel's theorem after Siegel's proof. 2014.
Lajos Hajdu and Volker Ziegler. Distinct unit generated totally complex quartic fields. Mathematics of Computation, 2014.
Daniel Krenn, Dimbinaina Ralaivaosaona, and Stephan Wagner. On the Number of Multi-Base Representations of an Integer. In 25th International Conference on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA'14), volume BA, 229–240. 2014.
Daniel Krenn and Stephan Wagner. The Number of Compositions into Powers of $b$. In 25th International Conference on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA'14), volume BA, 241–252. 2014.
Florian Luca and Volker Ziegler. A note on the number of S-Diophantine quadruples. Communications in Mathematics, 2014.

2013

Yuri F. Bilu, Clemens Fuchs, Florian Luca, and Akos Pinter. Combinatorial Diophantine equations and a refinement of a theorem on separated variables equations. Publicationes Mathematicae, 82(1):219–254, 2013.
Sophie Frisch and Daniel Krenn. Sylow $p$-groups of polynomial permutations on the integers mod $p^n$. J. Number Theory, 133(12):4188–4199, 2013.
Clemens Fuchs, Peter Hellekalek, and Maximilian Thaler. Mathematik in Salzburg. IMN Internationale Mathematische Nachrichten, pages 33–42, 2013.
Peter Hellekalek. A hybrid inequality of Erdös-Turán-Koksma for digital sequences. Monatshefte für Mathematik, 2013.
Clemens Heuberger and Daniel Krenn. Analysis of Width-$w$ Non-Adjacent Forms to Imaginary Quadratic Bases. J. Number Theory, 133(5):1752–1808, 2013.
Clemens Heuberger and Daniel Krenn. Existence and Optimality of $w$-non-adjacent Forms with an Algebraic Integer Base. Acta Math. Hungar., 140(1–2):90–104, 2013.
Clemens Heuberger and Daniel Krenn. Optimality of the Width-$w$ Non-adjacent Form: General Characterisation and the Case of Imaginary Quadratic Bases. J. Théor. Nombres Bordeaux, 25(2):353–386, 2013.
Clemens Heuberger, Daniel Krenn, and Stephan Wagner. Analysis of Parameters of Trees Corresponding to Huffman Codes and Sums of Unit Fractions. In Proceedings of the Meeting on Analytic Algorithmics Combinatorics (ANALCO), New Orleans, Louisiana, USA, January 6, 2013, 33–42. 2013.
Daniel Krenn. Analysis of the Width-$w$ Non-Adjacent Form in Conjunction with Hyperelliptic Curve Cryptography and with Lattices. Theoret. Comput. Sci., 491:47–70, 2013.
Daniel Krenn, Jörg Thuswaldner, and Volker Ziegler. On linear combinations of units with bounded coefficients and double-base digit expansions. Monatsh. Math., 171(3–4):377–394, 2013.
Florian Luca and Volker Ziegler. Multiplicative relations on binary recurrences. Acta Arithmetica, 2013.
Laszlo Szalay and Volker Ziegler. S-Diophantine quadruples with two primes congruent 3 modulo 4. INTEGERS, 2013.
Volker Ziegler and Attila Bérczes. On Geometric Progressions on Pell Equations and Lucas sequences. Glasnik Matematicki, 2013.
Volker Ziegler and Laszlo Szalay. On an S-unit variant of Diophantine m-tuples. Publicationes Mathematicae Debrecen, 2013.

2012

Andrej Dujella and Clemens Fuchs. On a problem of Diophantus for rationals. JOURNAL OF NUMBER THEORY, pages 2075–2083, 2012.
Clemens Fuchs and T.N. Shorey. Divisibility properties of hypergeometric polynomials. Journal of Combinatorics and Number Theory, pages 1–10, 2012.
Clemens Fuchs and Umberto Zannier. Composite rational functions expressible with few terms. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, pages 175–208, 2012.
P.J. Grabner, Peter Hellekalek, and P Liardet. The dynamical point of view of low-discrepancy sequences. Uniform Distribution Theory, pages 11–70, 2012.
Peter Hellekalek and P Kritzer. On the diaphony of some finite hybrid point sets. Acta Arithmetica, pages 257–282, 2012.
Peter Hellekalek and Peter Kritzer. Dyaphony of some hybrid point sets. Acta Arithmetica, 2012.
Florian Pausinger and Wolfgang Ch Schmid. On the Asymptotics of a Lower Bound for the Diaphony of Generalized van der Corput Sequences. 2012.
Akos Pinter and Volker Ziegler. On Arithmetic Progressions in Recurrences - A new characterization of the Fibonacci sequence. Journal of Number Theory, 2012.

2011

Clemens Fuchs. Angle trisection with Origami and related topics. ELEMENTE DER MATHEMATIK, 66(3):121–131, 2011.
Clemens Fuchs and Attila Pethö. COMPOSITE RATIONAL FUNCTIONS HAVING A BOUNDED NUMBER OF ZEROS AND POLES. Proceedings of the American Mathematical Society, 139(1):31–38, 2011.
Clemens Fuchs, Rafael von Känel, and Gisbert Wüstholz. An effective Shafarevich theorem for elliptic curves. Acta Arithmetica, 148(2):189–203, 2011.
Peter Hellekalek. Hybrid function systems in the theory of uniform distribution of sequences. In Proceedings Monte Carlo and Quasi-Monte Carlo Methods. 2011.
Peter Hellekalek and Harald Niederreiter. Constructions of uniformly distributed sequences using the b-adic method. Uniform Distribution Theory, pages 185–200, 2011.
Florian Pausinger and Wolfgang Ch Schmid. A Lower Bound for the Diaphony of Generalised Van Der Corput Sequences in Arbitrary Base b. Uniform Distribution Theory, pages 31–46, 2011.
Attila Pethö and Volker Ziegler. On biquadratic fields that admit unit power integral basis,. Acta Math. Hungar., 2011.
Jörg Thuswaldner and Volker Ziegler. On linear combinations of units with bounded coefficients. Mathematica, 2011.
Volker Ziegler. On unit power integral bases of $\mathbb Z[\sqrt [4]m]$. Periodica Mathematica Hungarica, 2011.
Volker Ziegler. The additive S-unit structure of quadratic fields. International Journal of Number Theory, 2011.

2010

Christoph Aistleitner, Phillip Mayer, and Volker Ziegler. Metric discrepancy theory, functions of bounded variation and GCD sums. Uniform Distribution Theory, 2010.
Henri Faure, Friedrich Pillichshammer, Gottlieb Pirsic, and Wolfgang Ch Schmid. L_2 discrepancy of generalized two-dimensional Hammersley point sets scrambled with arbitrary permutations. Acta Arithmetica, pages 395–418, 2010.
Peter Hellekalek. A notion of diaphony based on p-adic arithmetic. Acta Arithmetica, pages 273–284, 2010.
Florian Pausinger and Wolfgang Ch Schmid. A good permutation for one-dimensional diaphony. Monte Carlo Methods and Applications, pages 307–322, 2010.
Rudolf Schürer and Wolfgang Ch Schmid. MinT - Architecture and applications of the (t, m, s)-net and OOA database. Mathematics and Computers in Simulation, pages 1124–1132, 2010.
Volker Ziegler. On Thue equations of splitting type over function fields. Rocky Mountain Journal of Mathematics, 2010.
Volker Ziegler. On a family of Thue equations of degree 16. Mathematics of Computation, 2010.

2009

Clemens Fuchs. POLYNOMIAL-EXPONENTIAL EQUATIONS INVOLVING MULTI-RECURRENCES. Studia Scientiarum Mathematicarum Hungarica, 46(3):377–398, 2009.
Clemens Fuchs and T. N. Shorey. Divisibility properties of generalized Laguerre polynomials. Indagationes Mathematicae, 20(2):217–231, 2009.
Clemens Fuchs, Robert Tichy, and Volker Ziegler. On quantitative aspects of the unit sum number problem. Archiv der Mathematik, 93(3):259–268, 2009.
Peter Hellekalek. General discrepancy estimates by p-adic function systems. Acta Arithmetica, pages 117–129, 2009.
Rudolf Schürer and Wolfgang Ch Schmid. MinT - New Features and New Results. 2009.

2008

Andrej Dujella, Clemens Fuchs, and Florian Luca. A polynomial variant of a problem of diophantus for pure powers. International Journal of Number Theory, 4(1):57–71, 2008.
Alan Filipin, Robert Tichy, and Volker Ziegler. On the quantitative unit sum number problem - an application of the Subspace Theorem. Acta Arithmetica, 2008.
Alan Filipin, Robert Tichy, and Volker Ziegler. The additive unit structure of purely quartic complex fields. Functiones et Approximatio Commentarii Mathematici, 2008.
Clemens Fuchs, Florian Luca, and Laszlo Szalay. Diophantine triples with values in binary recurrences. Annali della Scuola normale superiore di Pisa - Classe di scienze, 7(4):579–608, 2008.
Clemens Fuchs, Attila Pethö, and Robert F. Tichy. On the Diophantine equation G(n)(x) = G(m)(y) with Q(x, y)=0. 2008.
Aicke Hinrichs, Friedrich Pillichshammer, and Wolfgang Ch Schmid. Tractability properties of the weighted star discrepancy. Journal of Complexity, pages 134–143, 2008.
Attila Pethö and Volker Ziegler. Arithmetic progressions on Pell equations. Journal of Number Theory, 2008.
Volker Ziegler. The additive unit structure of complex bi-quadratic fields. Glasnik Matematicki, 2008.

2007

Josef Dick, Peter Kritzer, Friedrich Pillichshammer, and Wolfgang Ch Schmid. On the existence of higher order polynomial lattices based on a generalized figure of merit. Journal of Complexity, pages 581–593, 2007.
Andrej Dujella, Alan Filipin, and Clemens Fuchs. Effective solution of the D(-1)-quadruple conjecture. Acta Arithmetica, 128(4):319–338, 2007.
Clemens Fuchs and Borka Jadrijevic. On a parametric family of Thue inequalities over function fields. Mathematical Proceedings of the Cambridge Philosophical Society, 143:9–23, 2007.
Peter Hellekalek. Uniform Distribution of Sequences and a p-adic function system. Preprint, 2007.
Arnold Knopfmacher, Robert Tichy, Stephan Wagner, and Volker Ziegler. Graphs, Partitions and Fibonacci Numbers,. Discrete Applied Mathematics, 2007.
Wolfgang Ch Schmid and Horst Trinker. On linear programming bounds for nets. PAMM : Proceedings in Applied Mathematics and Mechanics, pages 1022603–1022604, 2007.
Robert Tichy and Volker Ziegler. Units generating the ring of integers of complex cubic fields. Colloquium Mathematicum, 2007.
Volker Ziegler. Thomas' conjecture over Function Fields. Journal de Theorie des Nombres de Bordeaux, 2007.
Volker Ziegler and Jürgen Hartinger. On corner avoidance properties of random-start Halton sequences. SIAM Journal on Numerical Analysis, 2007.

2006

Attila Berczes, Attila Pethö, and Volker Ziegler. Parameterized Norm Form Equations with Arithmetic Progressions. Journal of Symbolic Computation, 2006.
Andrej Dujella, Clemens Fuchs, and Gary Walsh. Diophantine m-tuples for linear polynomials II. Equal degrees. Journal of Number Theory, 120(2):213–228, 2006.
Clemens Fuchs and Robert Tijdeman. Substitutions, abstract number systems and the space filling property. Annales de l'Institut Fourier, 56(7):2345–2389, 2006.
Clemens Fuchs and Volker Ziegler. On a family of Thue equations over function fields. Monatshefte für Mathematik, 147(1):11–23, 2006.
Clemens Fuchs and Volker Ziegler. Thomas's family of Thue equations over function fields. Quarterly Journal of Mathematics, 57:81–91, 2006.
Borka Jadrijevic and Volker Ziegler. A system of relative Pellian equations and a related family of relative Thue equations. International Journal of Number Theory, 2006.
Rudolf Schürer and Wolfgang Ch Schmid. MinT: A Database for Optimal Net Parameters. 2006.
Volker Ziegler. On a certain Family of quartic Thue Equations with three Parameters. Glasnik Matematicki, 2006.
Volker Ziegler. On a family of relative quartic Thue inequalities. Journal of Number Theory, 2006.
Volker Ziegler. On the distribution of the order of number field elements modulo prime ideals. Uniform Distribution Theory, 2006.

2005

Jürgen Bierbrauer and Wolfgang Ch Schmid. An asymptotic Gilbert–Varshamov bound for (t,m,s)-nets. INTEGERS, 2005.
Andrej Dujella and Clemens Fuchs. Complete solution of a problem of Diophantus and Euler. Journal of the London Mathematical Society, 71:33–52, 2005.
Clemens Fuchs. Diophantine problems in linear recurrences via the Subspace Theorem. INTEGERS, 2005.
Clemens Fuchs. Upper Bounds for the Solutions of Diophantine problems: Habilitation thesis. 2005.
Clemens Fuchs and Attila Pethö. Effective Bounds for the zeros of linear recurrences in function fields. J. Théorie Nombres Bordeaux, pages 749–766, 2005.
Jürgen Hartinger, Reinhold Kainhofer, and Volker Ziegler. On the corner avoidance properties of various low-discrepancy sequences. INTEGERS, 2005.
Wolfgang Ch Schmid and Rudolf Schürer. Shift-Nets and Salzburg Tables: Power Computing in Number-Theoretical Numerics. 2005.
Volker Ziegler. On a family of cubics over imaginary quadratic fields. Periodica Mathematica Hungarica, 2005.

2004

A Dujella and Clemens Fuchs. Complete solution of the polynomial version of a problem of Diophantus. Journal of Number Theory, 106(2):326–344, 2004.
Clemens Fuchs. On the equation G_n(x)=G_m(P(x)) for third order recurring sequences. Portugaliae Mathematica, pages 1–24, 2004.
Clemens Fuchs and A Scremin. Diophantine inequalities involving several power sums. Manuscripta Mathematica, 115(2):163–178, 2004.
Clemens Fuchs and A Scremin. Polynomial-exponential equations involving several linear recurrences. Publicationes Mathematicae, 65(1-2):149–172, 2004.
Clemens Heuberger, Alain Togbe, and Volker Ziegler. Automatic solutions of families of Thue equations and an example of degree 8,. Journal of Symbolic Computation, 2004.

2003

A Dujella and Clemens Fuchs. A polynomial variant of a problem of Diophantus and Euler. Rocky Mountain Journal of Mathematics, 33(3):797–811, 2003.
Karl Entacher, Thomas Schell, Wolfgang Ch Schmid, and Andreas Uhl. Defects in parallel Monte Carlo and quasi-Monte Carlo integration using the leap-frog technique. International Journal of Parallel, Emergent and Distributed Systems, pages 13–26, 2003.
C Fuchs and RF Tichy. Perfect powers in linear recurring sequences. Acta Arithmetica, 107(1):9–25, 2003.
Clemens Fuchs. An upper bound for the G.C.D. of two linear recurrences. Mathematica Slovaca, pages 21–42, 2003.
Clemens Fuchs. Polynomial-exponential equations and linear recurrences. GLASNIK MATEMATICKI, pages 233–252, 2003.
Clemens Fuchs, Attila Pethö, and Robert F. Tichy. On the Diophantine equation G(n)(x)=G(m)(P(x)): Higher-order recurrences. Transactions of the American Mathematical Society, 355(11):4657–4681, 2003.
Peter Hellekalek and Stefan Wegenkittl. Empirical evidence concerning AES. ACM transactions on modeling and computer simulation, pages 322–333, 2003.

2002

J. Bierbrauer, Y. Edel, and Wolfgang Ch Schmid. Coding-theoretic constructions for (t,m,s)-nets and ordered orthogonal arrays. Journal of Combinatorial Designs, pages 403–418, 2002.
Andrej Dujella, Clemens Fuchs, and Robert F. Tichy. Diophantine m-tuples for linear polynomials. Periodica Mathematica Hungarica, 45(1-2):21–33, 2002.
Clemens Fuchs. Quantitative finiteness results for Diophantine equations: PhD thesis. 2002.
Clemens Fuchs, Attila Pethö, and Robert F. Tichy. On the diophantine equation G(n)(x) = G(m)(P(x)). Monatshefte für Mathematik, 137(3):173–196, 2002.
Peter Hellekalek. Digital (t,m,s)-nets and the spectral test. Acta Arithmetica, pages 197–204, 2002.

2001

C Lecot and Wolfgang Ch Schmid. Particle approximation of convection-diffusion equations. Mathematics and Computers in Simulation, pages 125–132, 2001.
Gottlieb Pirsic and Wolfgang Ch Schmid. Calculation of the Quality Parameter of Digital Nets and Application to Their Construction. Journal of Complexity, pages 827–839, 2001.
Wolfgang Ch Schmid. Projections of digital nets and sequences. Mathematics and Computers in Simulation, pages 243–251, 2001.
Wolfgang Ch Schmid and Andreas Uhl. Techniques for parallel quasi-Monte Carlo integration with digital sequences and associated problems. Mathematics and Computers in Simulation, pages 253–261, 2001.

2000

Karl Entacher, Wolfgang Ch Schmid, and Andreas Uhl. Parallel Monte Carlo and quasi-Monte Carlo integration: the Leap-Frog case. 2000.
Clemens Fuchs. Algebraisch-geometrische Codes: Diploma thesis. 2000.
Gerhard Larcher, Wolfgang Ch Schmid, and Reinhard Wolf. On the approximation of certain mass distributions appearing in distance geometry. Acta Mathematica Hungarica, pages 295–316, 2000.

1999 and earlier

Peter Hellekalek. Kryptologie. 1999.
Peter Hellekalek. On the assessment of random and quasi-random point sets. 1999.
Peter Hellekalek. Vorsicht: Zufallszahlen. IMN Internationale Mathematische Nachrichten, pages 17–24, 1999.
Wolfgang Ch Schmid and Andreas Uhl. Parallel quasi-Monte Carlo integration using leaped (t,s)-sequences. 1999.
Peter Hellekalek. Good random number generators are (not so) easy to find. Mathematics and Computers in Simulation, pages 485–505, 1998.
Peter Hellekalek. A note on pseudorandom number generators. Eurosim, pages 8–10, 1997.
Peter Hellekalek and Hannes Leeb. Dyadic diaphony. Acta Arithmetica, pages 187–196, 1997.
Wolfgang Ch Schmid and Reinhard Wolf. Bounds for digital nets and sequences. Acta Arithmetica, pages 377–399, 1997.
Dominik Brunner, Gerhard Larcher, and Wolfgang Ch Schmid. PANUMIWAL: a system for the parallel numerical integration of high-dimensional functions. 1996.
Gerhard Larcher, A Lauß, S Niederreiter, and Wolfgang Ch Schmid. Optimal polynomials for (t,m,s)-nets and numerical integration of multivariate Walsh series. SIAM Journal on Numerical Analysis, pages 2239–2253, 1996.
Gerhard Larcher, S Niederreiter, and Wolfgang Ch Schmid. Digital nets and sequences constructed over finite rings and their application to quasi-Monte Carlo integration. Monatshefte für Mathematik, pages 231–253, 1996.
Gerhard Larcher, Wolfgang Ch Schmid, and Reinhard Wolf. Quasi-Monte Carlo Methods for the Numerical Integration of Multivariate Walsh series. Mathematical and Computer Modelling, pages 55–67, 1996.
G Mullen and Wolfgang Ch Schmid. An equivalence between (t,m,s)-nets and strongly orthogonal hypercubes. Journal of Combinatorial Theory (A), pages 164–174, 1996.
Wolfgang Ch Schmid. An algorithm to determine the quality parameter of binary nets, and the new shift-method. 1996.
Peter Hellekalek. General discrepancy estimates III: the Erdös-Turán-Koksma inequality for the Haar function system. Monatshefte für Mathematik, pages 25–45, 1995.
Gerhard Larcher, A Lauß, and Wolfgang Ch Schmid. Classical number-theoretical integration methods and the Walsh series lattice rule: a comparison. 1995.
Gerhard Larcher and Wolfgang Ch Schmid. On the numerical integration of high-dimensional Walsh series by quasi-Monte Carlo methods. Mathematics and Computers in Simulation, pages 127–134, 1995.
Peter Hellekalek. General discrepancy estimates II: the Haar function system. Acta Arithmetica, pages 313–322, 1994.
Peter Hellekalek. General discrepancy estimates: the Walsh function system. Acta Arithmetica, pages 209–218, 1994.
Gerhard Larcher and Wolfgang Ch Schmid. Numerical integration of multivariate Walsh series by means of different (t,m,s)-nets. 1994.
Gerhard Larcher, Wolfgang Ch Schmid, and Reinhard Wolf. Representation of functions as Walsh series to different bases and an application to the numerical integration of high-dimensional Walsh series. MATHEMATICS OF COMPUTATION, pages 701–716, 1994.
Peter Hellekalek and Gerhard Larcher. On the boundedness of Weyl sums. Monatshefte für Mathematik, pages 1999ff, 1992.
Peter Hellekalek and Gerhard Larcher. Weyl sums over irrational rotations. Grazer Mathematische Berichte, pages 29–43, 1992.
Peter Hellekalek and Gerhard Larcher. Functions with bounded remainder. Annales de l'Insitut Fourier, pages 17ff, 1989.
Peter Hellekalek and Gerhard Larcher. On Weyl sums and skew products over irrational rotations. Theoretical Computer Science, pages 189ff, 1989.
Peter Hellekalek. Ergodicity of a class of cylinder flows related to irregularities of distribution. COMPOSITIO MATHEMATICA, pages 129ff, 1987.
Peter Hellekalek and Gerhard Larcher. On the ergodicity of a class of skew products. Israel Journal of Mathematics, pages 301–310, 1986.
Peter Hellekalek. Regularities in the distribution of special sequences. JOURNAL OF NUMBER THEORY, pages 41ff, 1984.
Peter Hellekalek. On regularities of the distribution of special sequences. Monatshefte für Mathematik, pages 291ff, 1980.
Peter Hellekalek. Zur Konvergenz der Ln - Diskrepanz gegen die extreme Diskrepanz. Monatshefte für Mathematik, pages 1–6, 1979.
Peter Hellekalek. Über das Wachstum von Ln-Normen. Sitzungsberichte der Österreichischen Akademie der Wissenschaften, pages 189ff, 1979.