Periodica Mathematica Hungarica

, Volume 74, Issue 2, pp 255–274

30 years of collaboration

...between the Austrian Diophantine Number Theory research group and the Number Theory and Cryptography School of Debrecen
Article
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Abstract

We highlight some of the most important cornerstones of the long standing and very fruitful collaboration of the Austrian Diophantine Number Theory research group and the Number Theory and Cryptography School of Debrecen. However, we do not plan to be complete in any sense but give some interesting data and selected results that we find particularly nice. At the end we focus on two topics in more detail, namely a problem that origins from a conjecture of Rényi and Erdős (on the number of terms of the square of a polynomial) and another one that origins from a question of Zelinsky (on the unit sum number problem). This paper evolved from a plenary invited talk that the authors gave at the Joint Austrian-Hungarian Mathematical Conference 2015, August 25–27, 2015 in Győr (Hungary).

Keywords

Diophantine number theory Parametric Thue equations Number systems Separated-variables equations Recurrences Composite lacunary polynomials and rational functions Unit sum number problem 

Mathematics Subject Classification

Primary 11D 

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2016

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of SalzburgSalzburgAustria
  2. 2.Institute of MathematicsUniversity of DebrecenDebrecenHungary

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