Clemens, Fuchs and Hajdu, Lajos (2017) 30 years of collaboration. PERIODICA MATHEMATICA HUNGARICA, 74 (2). pp. 255-274. ISSN 0031-5303
|
Text
1511.07689.pdf Available under License Creative Commons Attribution. Download (539kB) | Preview |
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 details, 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 gaveat the Joint Austrian-Hungarian Mathematical Conference 2015, August 25-27, 2015 in Győr (Hungary).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | number systems; unit sum number problem; composite lacunary polynomials and rational functions; recurrences; separated-variables equations; parametric Thue equations; Diophantine number theory; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 09 May 2023 13:42 |
| Last Modified: | 09 May 2023 13:42 |
| URI: | http://real.mtak.hu/id/eprint/165122 |
Actions (login required)
 |
Edit Item |
