An extension of Sophie Germain's method to a wide class of diophantine equations.

DOI10.1515/CRLL.1985.356.49zbMath0546.10013OpenAlexW4229680207MaRDI QIDQ3337539

Paulo Ribenboim

Publication date: 1985

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002202158

zbMATH Keywords

Fermat's last theoremgeneralized Fermat equationpolynomial congruencesfirst case of Fermat's theoremmethod of Sophie Germainnew proof of Krasner's theoremsolutions of polynomial diophantine equation

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41)

Related Items (1)

Proof of the impossibility of the Fermat equation \(X^ p+Y^ p=Z^ p\) for special values of \(p\) and of the more general equation \(bX^ n+cY^ n=dZ^ n\)

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