AbstractIn 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
AbstractThe main purpose of this paper is using the mean value theorem of Dirichlet L-function and t...
We give an introduction to the Gauss hypergeometric function, the hypergeometric equation and their ...
AbstractA multiplication theorem for the Lerch zeta function ϕ(s,a,ξ) is obtained, from which, when ...
16 pagesIn 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...
We introduce an $\ell$-adic analogue of Gauss's hypergeometric function arising from the Galois acti...
This is a preprint of an article published in The Ramanujan Journal 5 (2001), no.2, pp.153-157. The ...
We look at approximations $ \zeta_X $ of the $\zeta$-function introduced in Gonek's paper (arXiv:070...
AbstractIn this work we construct new analogues of Bernoulli numbers and polynomials. We define the ...
AbstractRecently by using the theory of modular forms and the Riemann zeta-function, Lü improved the...
AbstractThe idea to use classical hypergeometric series and, in particular, well-poised hypergeometr...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
AbstractThe authors present a systematic investigation of the following log-gamma integral: ∫0zlogΓ(...
AbstractThe main purpose of this paper is using the mean value theorem of Dirichlet L-function and t...
We give an introduction to the Gauss hypergeometric function, the hypergeometric equation and their ...
AbstractA multiplication theorem for the Lerch zeta function ϕ(s,a,ξ) is obtained, from which, when ...
16 pagesIn 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...
We introduce an $\ell$-adic analogue of Gauss's hypergeometric function arising from the Galois acti...
This is a preprint of an article published in The Ramanujan Journal 5 (2001), no.2, pp.153-157. The ...
We look at approximations $ \zeta_X $ of the $\zeta$-function introduced in Gonek's paper (arXiv:070...
AbstractIn this work we construct new analogues of Bernoulli numbers and polynomials. We define the ...
AbstractRecently by using the theory of modular forms and the Riemann zeta-function, Lü improved the...
AbstractThe idea to use classical hypergeometric series and, in particular, well-poised hypergeometr...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
AbstractThe authors present a systematic investigation of the following log-gamma integral: ∫0zlogΓ(...
AbstractThe main purpose of this paper is using the mean value theorem of Dirichlet L-function and t...
We give an introduction to the Gauss hypergeometric function, the hypergeometric equation and their ...
AbstractA multiplication theorem for the Lerch zeta function ϕ(s,a,ξ) is obtained, from which, when ...
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