Perron numbers that satisfy Fermat’s equation
| Autor: | Pietro Paparella |
|---|---|
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Notes on Number Theory and Discrete Mathematics. 27:119-122 |
| ISSN: | 2367-8275 1310-5132 |
| DOI: | 10.7546/nntdm.2021.27.3.119-122 |
| Popis: | In this note, it is shown that if \ell and m are positive integers such that \ell > m, then there is a Perron number \rho such that \rho^n + (\rho + m)^n = (\rho + \ell)^n. It is also shown that there is an aperiodic integer matrix C such that C^n + (C+ m I_n)^n = (C + \ell I_n)^n. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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