23 citations · 35 across the 50 of their papers we have counts for
61 papers
A divisor function of Wigert and higher degree forms
Debika Banerjee, Atul Dixit, Rajat Gupta
Let . Wigert's divisor function counts the number of representations of of the form with . Let $\mat…
Restricted Overpartitions and concave compositions: their modularity and asymptotics
Koustav Banerjee, Kathrin Bringmann, Atul Dixit
In this paper we study restricted overpartitions and concave compositions. In several cases the resulting generating functions involve simultaneously modular forms, mock theta func…
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…
The Rogers-Ramanujan dissection of a theta function
Atul Dixit, Gaurav Kumar
Page 27 of Ramanujan's Lost Notebook contains a beautiful identity which not only gives, as a special case, a famous modular relation between the Rogers-Ramanujan functions …