Publication date
June 1982
DOI Publisher
Published by Elsevier Inc. ISSN
0022-314XAbstract
AbstractCongruences for the Apéry numbers are proved which generalize the results and conjectures of Chowla, J. Cowles, and M. Cowles
AbstractCongruences for the Apéry numbers are proved which generalize the results and conjectures of Chowla, J. Cowles, and M. Cowles
AbstractWe give a p-adic proof of a certain new relation between the Bernoulli numbers Bk, similar t...
AbstractWe consider, for odd primes p, the function N(p, m, α) which equals the number of subsets S⊆...
The research of the first author was supported by Natural Sciences and Engineering Research Council ...
AbstractApéry introduced a recurrence relation for a proof of the irrationality of ζ(3). Let an (n ≥...
AbstractIn 1979 R. Apéry introduced the numbers an = Σ0n(kn)2(kn + k) and un = Σ0n(kn)2(kn + k)2 in ...
AbstractWe prove that Apéry numbers satisfy an analog mod p, p2 and p3 of the congruence of Lucas fo...
AbstractIn 1979 R. Apéry introduced the numbers an = Σ0n(kn)2(kn+k)2 in his irrationality proof for ...
AbstractLet p be an odd prime and γ(k,pn) be the smallest positive integer s such that every integer...
AbstractA congruence modulo 8 is proved relating the class numbers of the quadratic fields Q(√p) and...
AbstractThe Apéry numbers, introduced in Apéry's celebrated proof of the irrationality of ζ(3), are ...
AbstractThe aim of this paper is to show that for any n∈N, n>3, there exist a, b∈N* such that n=a+b,...
AbstractLet p ≥ 5 be a prime and a, b, c relatively prime integers such that ap + bp + cp = 0. A the...
AbstractIf b(m;n) denotes the number of partitions of n into powers of m, then b(m; mr+1n) ≡ b(m; mr...
AbstractLet S(k) = Σn=1p−1(np)nk where p is a prime ≡ 3 mod 4 and k is an integer ≥ 3. Then S(k) fre...
AbstractThe three sequences mentioned in the title are Ramanujan's τ-function, the coefficients cn o...
AbstractWe give a p-adic proof of a certain new relation between the Bernoulli numbers Bk, similar t...
AbstractWe consider, for odd primes p, the function N(p, m, α) which equals the number of subsets S⊆...
The research of the first author was supported by Natural Sciences and Engineering Research Council ...
AbstractApéry introduced a recurrence relation for a proof of the irrationality of ζ(3). Let an (n ≥...
AbstractIn 1979 R. Apéry introduced the numbers an = Σ0n(kn)2(kn + k) and un = Σ0n(kn)2(kn + k)2 in ...
AbstractWe prove that Apéry numbers satisfy an analog mod p, p2 and p3 of the congruence of Lucas fo...
AbstractIn 1979 R. Apéry introduced the numbers an = Σ0n(kn)2(kn+k)2 in his irrationality proof for ...
AbstractLet p be an odd prime and γ(k,pn) be the smallest positive integer s such that every integer...
AbstractA congruence modulo 8 is proved relating the class numbers of the quadratic fields Q(√p) and...
AbstractThe Apéry numbers, introduced in Apéry's celebrated proof of the irrationality of ζ(3), are ...
AbstractThe aim of this paper is to show that for any n∈N, n>3, there exist a, b∈N* such that n=a+b,...
AbstractLet p ≥ 5 be a prime and a, b, c relatively prime integers such that ap + bp + cp = 0. A the...
AbstractIf b(m;n) denotes the number of partitions of n into powers of m, then b(m; mr+1n) ≡ b(m; mr...
AbstractLet S(k) = Σn=1p−1(np)nk where p is a prime ≡ 3 mod 4 and k is an integer ≥ 3. Then S(k) fre...
AbstractThe three sequences mentioned in the title are Ramanujan's τ-function, the coefficients cn o...
AbstractWe give a p-adic proof of a certain new relation between the Bernoulli numbers Bk, similar t...
AbstractWe consider, for odd primes p, the function N(p, m, α) which equals the number of subsets S⊆...
The research of the first author was supported by Natural Sciences and Engineering Research Council ...
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