Roland Quême

activity

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

collaborators

Showing 2011 · math.NTShow all

3 papers · 2 filters

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 $S F L T 2$ conjecture: {\it Let $p > 3$ be a prime, $K:=\Q(ζ)$ the $p$ 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 $p$ be an irregular prime and $K=\Q(ζ)$ the $p$ -cyclotomic field. Let $σ$ be a $\Q$-isomorphism of $K$ generating $Gal(K/\Q)$. Let $S / K$ be a cyclic unramified extension of deg…