We prove a supercongruence modulo $p^3$ between the $p$th Fourier coefficient of a weight 6 modular form and a truncated ${}_6F_5$-hypergeometric series. Novel ingredients in the proof are the comparison of two rational approximations to $\zeta (3)$ to produce non-trivial harmonic sum identities and the reduction of the resulting congruences between harmonic sums via a congruence between the Apéry numbers and another Apéry-like sequence
Let p be an odd prime. In 1984, Greene introduced the notion of hypergeometric functions over finite...
Contains fulltext : 239824.pdf (Publisher’s version ) (Open Access
We discuss two related principles for hypergeometric supercongrences, one related to accelerated con...
We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special po...
We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special po...
We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special po...
Recently, Chan, Cooper and Sica conjectured two congruences for coefficients of classical 2F1 hyperg...
For the purposes of this paper supercongruences are congruences between terminating hypergeometric s...
We examine instances of modularity of (rigid) Calabi-Yau manifolds whose periods are expressed in te...
It is well-known that the Ap\'ery sequences which arise in the irrationality proofs for $\zeta(2)$ a...
We study congruences involving truncated hypergeometric series of the form. where p is a prime and m...
AbstractIn this article we find self-recursion formulas for super-replicable functions N(j1,N) (N=2,...
We apply some hypergeometric evaluation identities, including a strange valuation of Gosper, to prov...
It is known that the numbers which occur in Apery's proof of the irrationality of zeta (2) have many...
We prove two congruences for the coefficients of power series expansions in t of modular forms where...
Let p be an odd prime. In 1984, Greene introduced the notion of hypergeometric functions over finite...
Contains fulltext : 239824.pdf (Publisher’s version ) (Open Access
We discuss two related principles for hypergeometric supercongrences, one related to accelerated con...
We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special po...
We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special po...
We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special po...
Recently, Chan, Cooper and Sica conjectured two congruences for coefficients of classical 2F1 hyperg...
For the purposes of this paper supercongruences are congruences between terminating hypergeometric s...
We examine instances of modularity of (rigid) Calabi-Yau manifolds whose periods are expressed in te...
It is well-known that the Ap\'ery sequences which arise in the irrationality proofs for $\zeta(2)$ a...
We study congruences involving truncated hypergeometric series of the form. where p is a prime and m...
AbstractIn this article we find self-recursion formulas for super-replicable functions N(j1,N) (N=2,...
We apply some hypergeometric evaluation identities, including a strange valuation of Gosper, to prov...
It is known that the numbers which occur in Apery's proof of the irrationality of zeta (2) have many...
We prove two congruences for the coefficients of power series expansions in t of modular forms where...
Let p be an odd prime. In 1984, Greene introduced the notion of hypergeometric functions over finite...
Contains fulltext : 239824.pdf (Publisher’s version ) (Open Access
We discuss two related principles for hypergeometric supercongrences, one related to accelerated con...