Add to ORKG16 pagesIn this article, we give a proof of the link between the zeta function of two families of hypergeometric curves and the zeta function of a family of quintics that was observed numerically by Candelas, de la Ossa, and Rodriguez Villegas. The method we use is based on formulas of Koblitz and various Gauss sums identities; it does not give any geometric information on the link
It is shown that there exists a companion formula to Srivastavas formula for the Lipschitz-Lerch Zet...
We look at approximations $ \zeta_X $ of the $\zeta$-function introduced in Gonek's paper (arXiv:070...
AbstractIt is shown that there exists a companion formula to Srivastava’s formula for the Lipschitz–...
AbstractIn this article, we give a proof of the link between the zeta function of two families of hy...
22 pages, submitted for publicationLet $\mathbb{F}_q$ be a finite field with $q$ elements, $\psi$ a ...
AbstractIn this article, we study the representation of a group of automorphisms into the ℓ-adic coh...
In previous work, the authors discovered new examples of q-hypergeometric series related to the arit...
32 pages, submitted for publicationThe aim of this article is to illustrate, on the example of Dwork...
This article considers linear relations between the non-trivial ze- roes of the Riemann zeta-functio...
We introduce an $\ell$-adic analogue of Gauss's hypergeometric function arising from the Galois acti...
AbstractRecently by using the theory of modular forms and the Riemann zeta-function, Lü improved the...
AbstractIn his approach to analytic number theory C. Deninger has suggested that to the Riemann zeta...
A general transformation involving generalized hypergeometric functions has been recently found by R...
This is a preprint of an article published in The Ramanujan Journal 5 (2001), no.2, pp.153-157. The ...
金沢大学理工研究域 数物科学系In this paper, we give some functional equations with a parameter c for Lauricella\u2...
It is shown that there exists a companion formula to Srivastavas formula for the Lipschitz-Lerch Zet...
We look at approximations $ \zeta_X $ of the $\zeta$-function introduced in Gonek's paper (arXiv:070...
AbstractIt is shown that there exists a companion formula to Srivastava’s formula for the Lipschitz–...
AbstractIn this article, we give a proof of the link between the zeta function of two families of hy...
22 pages, submitted for publicationLet $\mathbb{F}_q$ be a finite field with $q$ elements, $\psi$ a ...
AbstractIn this article, we study the representation of a group of automorphisms into the ℓ-adic coh...
In previous work, the authors discovered new examples of q-hypergeometric series related to the arit...
32 pages, submitted for publicationThe aim of this article is to illustrate, on the example of Dwork...
This article considers linear relations between the non-trivial ze- roes of the Riemann zeta-functio...
We introduce an $\ell$-adic analogue of Gauss's hypergeometric function arising from the Galois acti...
AbstractRecently by using the theory of modular forms and the Riemann zeta-function, Lü improved the...
AbstractIn his approach to analytic number theory C. Deninger has suggested that to the Riemann zeta...
A general transformation involving generalized hypergeometric functions has been recently found by R...
This is a preprint of an article published in The Ramanujan Journal 5 (2001), no.2, pp.153-157. The ...
金沢大学理工研究域 数物科学系In this paper, we give some functional equations with a parameter c for Lauricella\u2...
It is shown that there exists a companion formula to Srivastavas formula for the Lipschitz-Lerch Zet...
We look at approximations $ \zeta_X $ of the $\zeta$-function introduced in Gonek's paper (arXiv:070...
AbstractIt is shown that there exists a companion formula to Srivastava’s formula for the Lipschitz–...