Bertók, Csanád and Hajdu, Lajos (2016) A Hasse-type principle for exponential Diophantine equations and its applications. MATHEMATICS OF COMPUTATION, 85 (298). pp. 849-860. ISSN 0025-5718
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Official URL: https://doi.org/10.1090/mcom/3002
Abstract
We propose a conjecture, similar to Skolem's conjecture, on a Hasse-type principle for exponential Diophantine equations. We prove that in a sense the principle is valid for "almost all" equations. Based upon this we propose a general method for the solution of exponential Diophantine equations. Using a generalization of a result of Erdos, Pomerance and Schmutz concerning Carmichael's lambda function, we can make our search systematic for certain moduli needed in the method.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > Q1 Science (General) / természettudomány általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 01 Aug 2023 14:29 |
| Last Modified: | 01 Aug 2023 14:29 |
| URI: | http://real.mtak.hu/id/eprint/170836 |
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