In the “lost notebook ” [6, page 341], Ramanujan records the following remarkable identity. If the sequences {an}, {bn} and {cn} are defined b
AbstractIn a handwritten manuscript published with his lost notebook, Ramanujan stated without proof...
AbstractCombinatorial proofs are given for certain entries in Ramanujan's lost notebook. Bijections ...
Proofs published so far in articles and books, of the Ramanujan identity presented in this note, whi...
In the “lost notebook ” [6, page 341], Ramanujan records the following remarkable identity. If the s...
Ramanujan stated an identity to the effect that if three sequences {an}, {bn} and {cn} are defined b...
Abstract. In his “lost ” notebook, Ramanujan stated two results, which are equivalent to the identit...
Abstract. In this paper, we give a new proof for two identities involving Ramanujan’s cubic continue...
We give a new proof of an identity due to Ramanujan. From this identity, he deduced the famous Roger...
For each positive even integer n, let Fn(a,b,c,d)=(a+b+c)n+(b+c+d)n−(c+d+a)n−(d+a+b)n+(a−d)n−(b−c)n....
In this paper we obtain a convolution identity for the coefficients Bn(α,θ,q) defined by ∑n=−∞∞Bn(α...
Abstract. Combinatorial proofs are given for certain entries in Ramanujan’s lost notebook. Bijection
We call two increasing sequences of positive integers {aᵢ}, {b(j)} a "Ramanujan Pair" if the followi...
FOR Ramanujan's well-known congruence n = 0, 1, 2,... (1) pertaining to the partition function ...
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as...
bn exp(2pii anq) r, where r≥1 is a real number, (bn) is a sequence of complex numbers. Then we obtai...
AbstractIn a handwritten manuscript published with his lost notebook, Ramanujan stated without proof...
AbstractCombinatorial proofs are given for certain entries in Ramanujan's lost notebook. Bijections ...
Proofs published so far in articles and books, of the Ramanujan identity presented in this note, whi...
In the “lost notebook ” [6, page 341], Ramanujan records the following remarkable identity. If the s...
Ramanujan stated an identity to the effect that if three sequences {an}, {bn} and {cn} are defined b...
Abstract. In his “lost ” notebook, Ramanujan stated two results, which are equivalent to the identit...
Abstract. In this paper, we give a new proof for two identities involving Ramanujan’s cubic continue...
We give a new proof of an identity due to Ramanujan. From this identity, he deduced the famous Roger...
For each positive even integer n, let Fn(a,b,c,d)=(a+b+c)n+(b+c+d)n−(c+d+a)n−(d+a+b)n+(a−d)n−(b−c)n....
In this paper we obtain a convolution identity for the coefficients Bn(α,θ,q) defined by ∑n=−∞∞Bn(α...
Abstract. Combinatorial proofs are given for certain entries in Ramanujan’s lost notebook. Bijection
We call two increasing sequences of positive integers {aᵢ}, {b(j)} a "Ramanujan Pair" if the followi...
FOR Ramanujan's well-known congruence n = 0, 1, 2,... (1) pertaining to the partition function ...
Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as...
bn exp(2pii anq) r, where r≥1 is a real number, (bn) is a sequence of complex numbers. Then we obtai...
AbstractIn a handwritten manuscript published with his lost notebook, Ramanujan stated without proof...
AbstractCombinatorial proofs are given for certain entries in Ramanujan's lost notebook. Bijections ...
Proofs published so far in articles and books, of the Ramanujan identity presented in this note, whi...