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19992020
most citedOn Furtwängler's theorems and second case of Fermat's Last Theorem

1 citations · 2 across the 20 of their papers we have counts for

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math.NT2013

On second case of Strong Fermat's Last Theorem conjecture

Roland Quême

This article deals with a conjecture, introduced in [GQ] (hereinafter ), which generalizes the second case of Fermat's Last Theorem: {\it Let be a prime. The diophanti…

math.NT2013★ 1 cited

On Furtwängler's theorems and second case of Fermat's Last Theorem

Roland Quême

This article, complement to the article [Que], deals with some generalizations of Futwängler's theorems for the second case of Fermat's Last Theorem (FLT2). Let be an odd prime…

math.NT2011

Complements on Furtwängler's second theorem and Vandiver' s cyclotomic integers

Roland Queme

This article deals with a conjecture generalizing the second case of Fermat's Last Theorem, called conjecture: {\it Let be a prime, $K:=\Q(ζ)$ the th cyclotomic fi…

math.NT2011

Some works of Furtwängler and Vandiver revisited and Fermat's last theorem

Georges Gras, Roland Quême

From some works of P. Furtwängler and H.S. Vandiver, we put the basis of a new cyclotomic approach to Fermat's last theorem for p>3 and to a stronger version called SFLT, by introd…

math.NT2011

The Hilbert's class field and the p-class group of the cyclotomic fields

Roland Quême

Let be an irregular prime and $K=\Q(ζ)$ the -cyclotomic field. Let be a $\Q$-isomorphism of generating $Gal(K/\Q)$. Let be a cyclic unramified extension of deg…

math.NT2009

On first case of Fermat's Last Theorem in the spirit of Kummer and Furtwangler

Roland Queme

This paper has been withdrawn by the author [arXiv admin].