Add to ORKGA new supercongruence associated with a Gaussian hypergeometric series, as well as one of Mortenson\u27s supercongruences, are established with new congruence relations and the Legendre transforms of certain sequences. © 2010 Pleiades Publishing, Ltd
Recently, Chan, Cooper and Sica conjectured two congruences for coefficients of classical 2F1 hyperg...
AbstractLetf(x)∈Q[X] be a cubic such thaty2=f(x) is an elliptic curve with complex multiplication by...
AbstractWe show that every elliptic curve over a finite field of odd characteristic whose number of ...
A new supercongruence associated with a Gaussian hypergeometric series, as well as one of Mortenson’...
For the purposes of this paper supercongruences are congruences between terminating hypergeometric s...
We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special po...
We study congruences involving truncated hypergeometric series of the form. where p is a prime and m...
It is known that the numbers which occur in Apery's proof of the irrationality of zeta (2) have many...
We prove the last remaining case of the original 13 Ramanujan-type supercongruence conjectures due t...
We apply some hypergeometric evaluation identities, including a strange valuation of Gosper, to prov...
We discuss two related principles for hypergeometric supercongrences, one related to accelerated con...
Let p be an odd prime. In 1984, Greene introduced the notion of hypergeometric functions over finite...
AbstractIt is known that the numbers which occur in Apéryʼs proof of the irrationality of ζ(2) have ...
AbstractElliott's identity involving the Gaussian hypergeometric series contains, as a special case,...
In this paper, we investigate the relationships among hypergeometric series, truncated hypergeometri...
Recently, Chan, Cooper and Sica conjectured two congruences for coefficients of classical 2F1 hyperg...
AbstractLetf(x)∈Q[X] be a cubic such thaty2=f(x) is an elliptic curve with complex multiplication by...
AbstractWe show that every elliptic curve over a finite field of odd characteristic whose number of ...
A new supercongruence associated with a Gaussian hypergeometric series, as well as one of Mortenson’...
For the purposes of this paper supercongruences are congruences between terminating hypergeometric s...
We prove supercongruences modulo p2 for values of truncated hypergeometric series at some special po...
We study congruences involving truncated hypergeometric series of the form. where p is a prime and m...
It is known that the numbers which occur in Apery's proof of the irrationality of zeta (2) have many...
We prove the last remaining case of the original 13 Ramanujan-type supercongruence conjectures due t...
We apply some hypergeometric evaluation identities, including a strange valuation of Gosper, to prov...
We discuss two related principles for hypergeometric supercongrences, one related to accelerated con...
Let p be an odd prime. In 1984, Greene introduced the notion of hypergeometric functions over finite...
AbstractIt is known that the numbers which occur in Apéryʼs proof of the irrationality of ζ(2) have ...
AbstractElliott's identity involving the Gaussian hypergeometric series contains, as a special case,...
In this paper, we investigate the relationships among hypergeometric series, truncated hypergeometri...
Recently, Chan, Cooper and Sica conjectured two congruences for coefficients of classical 2F1 hyperg...
AbstractLetf(x)∈Q[X] be a cubic such thaty2=f(x) is an elliptic curve with complex multiplication by...
AbstractWe show that every elliptic curve over a finite field of odd characteristic whose number of ...