23 citations · 35 across the 50 of their papers we have counts for
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Some identities of the sums-of-tails type
Atul Dixit, Gaurav Kumar, Aviral Srivastava
A new sums-of-tails identity involving two parameters and is obtained and is used to derive more results of similar type. One of Ramanujan's sums-of-tails identities from t…
Non-Rascoe partitions and a rank parity function associated to the Rogers-Ramanujan partitions
Atul Dixit, Gaurav Kumar, Aviral Srivastava
We study the generating function of the excess number of Rogers-Ramanujan partitions with odd rank over those with even rank, and, using combinatorial and analytical techniques, sh…
On a function of Ramanujan twisted by a logarithm
Atul Dixit, Sumukha Sathyanarayana, N. Guru Sharan
A two-term functional equation for an infinite series involving the digamma function and a logarithmic factor is derived. A modular relation on page 220 of Ramanujan's Lost Noteboo…