Proofs published so far in articles and books, of the Ramanujan identity presented in this note, which depend on Euler products, are essentially the same as Ramanujan's original proof. In contrast, the proof given here is short and independent of the use of Euler products
The main contribution of this paper is to propose a closed expression for the Ramanujan constant of ...
We give short elementary proofs of a formula of Ramanujan as interpreted by Bradley, and a companion...
AbstractA proof of the Rogers-Ramanujan identities is presented which is brief, elementary, and well...
In his famous paper, «On certain arithmetical functions», Ramanujan offers for the first time the Eu...
AbstractA famous identity of Ramanujan connected with partitions modulo 5 is shown to be equivalent ...
Abstract. In this paper, we give a new proof for two identities involving Ramanujan’s cubic continue...
FOR Ramanujan's well-known congruence n = 0, 1, 2,... (1) pertaining to the partition function ...
AbstractIn a handwritten manuscript published with his lost notebook, Ramanujan stated without proof...
In the “lost notebook ” [6, page 341], Ramanujan records the following remarkable identity. If the s...
AbstractIn answer to a question of Andrews about finding combinatorial proofs of two identities in R...
We give a new proof of an identity due to Ramanujan. From this identity, he deduced the famous Roger...
In the “lost notebook ” [6, page 341], Ramanujan records the following remarkable identity. If the s...
In his unpublished manuscripts (referred to by Birch [1] as Fragment V, pp. 247–249), Ramanujan [3] ...
We call two increasing sequences of positive integers {aᵢ}, {b(j)} a "Ramanujan Pair" if the followi...
When Ramanujan’s lost notebook (Ramanujan, The lost notebook and other unpublished papers, Narosa, N...
The main contribution of this paper is to propose a closed expression for the Ramanujan constant of ...
We give short elementary proofs of a formula of Ramanujan as interpreted by Bradley, and a companion...
AbstractA proof of the Rogers-Ramanujan identities is presented which is brief, elementary, and well...
In his famous paper, «On certain arithmetical functions», Ramanujan offers for the first time the Eu...
AbstractA famous identity of Ramanujan connected with partitions modulo 5 is shown to be equivalent ...
Abstract. In this paper, we give a new proof for two identities involving Ramanujan’s cubic continue...
FOR Ramanujan's well-known congruence n = 0, 1, 2,... (1) pertaining to the partition function ...
AbstractIn a handwritten manuscript published with his lost notebook, Ramanujan stated without proof...
In the “lost notebook ” [6, page 341], Ramanujan records the following remarkable identity. If the s...
AbstractIn answer to a question of Andrews about finding combinatorial proofs of two identities in R...
We give a new proof of an identity due to Ramanujan. From this identity, he deduced the famous Roger...
In the “lost notebook ” [6, page 341], Ramanujan records the following remarkable identity. If the s...
In his unpublished manuscripts (referred to by Birch [1] as Fragment V, pp. 247–249), Ramanujan [3] ...
We call two increasing sequences of positive integers {aᵢ}, {b(j)} a "Ramanujan Pair" if the followi...
When Ramanujan’s lost notebook (Ramanujan, The lost notebook and other unpublished papers, Narosa, N...
The main contribution of this paper is to propose a closed expression for the Ramanujan constant of ...
We give short elementary proofs of a formula of Ramanujan as interpreted by Bradley, and a companion...
AbstractA proof of the Rogers-Ramanujan identities is presented which is brief, elementary, and well...
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