On the Equation ax − by = 1. II-Reference-Cited by-同舟云学术

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On the Equation ax − by = 1. II

Published:1960-04 Issue:2 Volume:56 Page:97-103
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Cassels J. W. S.

Abstract

The following conjecture was apparently first enunciated by Catalan (3) in 1844 but has never been proved.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference28 articles.

1. über die Zahl x2 − 1;Obláth;Mathematica B,1940

2. On the Equation a x - b y = 1

3. Sur une équation diophantienne à deux indéterminées;Nagell;Norsk Vid. Selsk. Forh,1934

4. Sur l'impossibilité de l'équation indéterminée zv + 1 = y2;Nagell;Norsk mat. Foren. Skr,1921

Cited by 26 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. John William Scott (‘Ian’) Cassels. 11 July 1922 — 27 July 2015;Biographical Memoirs of Fellows of the Royal Society;2023-03-29

2. Improved lower bounds for possible solutions in the Second Case of the Fermat Last Theorem and in the Catalan Equation;Journal of Number Theory;2021-08

3. Cassels’ Relations;The Problem of Catalan;2014

4. A Historical Account;The Problem of Catalan;2014

5. The Last Period;Springer Monographs in Mathematics;2012

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