A Note on Pépin's counter examples to the Hasse principle for curves of genus 1
| dc.creator | Lemmermeyer, Franz | |
| dc.date | 1999-03-18 | |
| dc.date.accessioned | 2026-07-07T05:28:34Z | |
| dc.date.available | 2026-07-07T05:28:34Z | |
| dc.description | In a series of articles published in the C.R. Paris more than a century ago, T. Pépin announced a list of ``theorems'' concerning the solvability of diophantine equations of the type $ax^4 + by^4 = z^2$. In this article, we show how to prove these claims using the structure of 2-class groups of imaginary quadratic number fields. We will also look at a few related results (including FLT for $n = 7$) from a modern point of view. | |
| dc.identifier | https://arxiv.org/abs/math/9903207 | |
| dc.identifier | http://arxiv.org/abs/math/9903207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78308 | |
| dc.subject | Number Theory | |
| dc.title | A Note on Pépin's counter examples to the Hasse principle for curves of genus 1 | |
| dc.type | text |