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20 papers
An attempt of proof of Riemann Hypothesis
Roland Quême
This paper deals with an attempt of proof of the Riemann Hypothesis (RH). Let arbitrarily large. Let the region $Ω_T=\Big\{z=x+i y\ \Big|\ \frac{1}{2}<x<1, \ 0<y<T\Big\…
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…
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…
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…
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…
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…