We prove a conjecture due to Kimoto and Wakayama from 2006 concerning Apery-like numbers associated to a special value of a spectral zeta function. Our proof uses hypergeometric series and p-adic analysis
The Lichtenbaum--Quillen conjecture (LQC) relates special values of zeta functions to algebraic K-th...
In this paper, in the Section 1, we have described some equations concerning the functions Zeta(s)an...
AbstractAs a generalization of the Dedekind zeta function, Weng defined the high rank zeta functions...
We prove a conjecture due to Kimoto and Wakayama from 2006 concerning Apéry-like numbers associated ...
During his lifetime, Ramanujan provided many formulae relating binomial sums to special values of th...
We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special po...
For the purposes of this paper supercongruences are congruences between terminating hypergeometric s...
We apply some hypergeometric evaluation identities, including a strange valuation of Gosper, to prov...
AbstractRecent results of Zlobin and Cresson–Fischler–Rivoal allow one to decompose any suitable p-u...
International audienceUsing Dwork's theory, we prove a broad generalisation of his famous p-adic for...
In previous work, the authors discovered new examples of q-hypergeometric series related to the arit...
We study the spectrum of the operator D∗D, where the operator D, introduced in Klimek et al. [e-prin...
We define a family of Coleman maps for positive crystalline p-adic representations of the absolute G...
Fix an odd prime $p$. In this article, we provide a $\mathrm{mod}\ p$ harmonic number identity, whic...
We examine instances of modularity of (rigid) Calabi-Yau manifolds whose periods are expressed in te...
The Lichtenbaum--Quillen conjecture (LQC) relates special values of zeta functions to algebraic K-th...
In this paper, in the Section 1, we have described some equations concerning the functions Zeta(s)an...
AbstractAs a generalization of the Dedekind zeta function, Weng defined the high rank zeta functions...
We prove a conjecture due to Kimoto and Wakayama from 2006 concerning Apéry-like numbers associated ...
During his lifetime, Ramanujan provided many formulae relating binomial sums to special values of th...
We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special po...
For the purposes of this paper supercongruences are congruences between terminating hypergeometric s...
We apply some hypergeometric evaluation identities, including a strange valuation of Gosper, to prov...
AbstractRecent results of Zlobin and Cresson–Fischler–Rivoal allow one to decompose any suitable p-u...
International audienceUsing Dwork's theory, we prove a broad generalisation of his famous p-adic for...
In previous work, the authors discovered new examples of q-hypergeometric series related to the arit...
We study the spectrum of the operator D∗D, where the operator D, introduced in Klimek et al. [e-prin...
We define a family of Coleman maps for positive crystalline p-adic representations of the absolute G...
Fix an odd prime $p$. In this article, we provide a $\mathrm{mod}\ p$ harmonic number identity, whic...
We examine instances of modularity of (rigid) Calabi-Yau manifolds whose periods are expressed in te...
The Lichtenbaum--Quillen conjecture (LQC) relates special values of zeta functions to algebraic K-th...
In this paper, in the Section 1, we have described some equations concerning the functions Zeta(s)an...
AbstractAs a generalization of the Dedekind zeta function, Weng defined the high rank zeta functions...