activity
20122024
most citedGeneralized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for

1 citations · 1 across the 13 of their papers we have counts for

collaborators

11 papers

math.NT2021

An asymptotic expansion for a twisted Lambert series associated to a cusp form and the Möbius function: level aspect

Bibekananda Maji, Sumukha Sathyanarayana, B. R. Shankar

Recently, Juyal, Maji, and Sathyanarayana have studied a Lambert series associated with a cusp form over the full modular group and the Möbius function. In this paper, we investiga…

math.NT2021

On Ramanujan's formula for and

Anushree Gupta, Bibekananda Maji

Page 332 of Ramanujan's Lost Notebook contains a compelling identity for , which has been studied by many mathematicians over the years. On the same page, Ramanujan also re…

math.NT2021

An asymptotic expansion for a Lambert series associated to the symmetric square -function

Abhishek Juyal, Bibekananda Maji, Sumukha Sathyanarayana

Hafner and Stopple proved a conjecture of Zagier, that the inverse Mellin transform of the symmetric square -function associated to the Ramanujan tau function has an asymptotic…

math.NT2020

Generalization of five q-series identities of Ramanujan and unexplored weighted partition identities

Subhash Chand Bhoria, Pramod Eyyunni, Bibekananda Maji

Ramanujan recorded five interesting q-series identities in a section that is not as systematically arranged as the other chapters of his second notebook. These five identities do n…

math.NT2019

An inequality between finite analogues of rank and crank moments

Pramod Eyyunni, Bibekananda Maji, Garima Sood

The inequality between rank and crank moments was conjectured and later proved by Garvan himself in 2011. Recently, Dixit and the authors introduced finite analogues of rank and cr…

math.NT2018

Untrodden pathways in the theory of the restricted partition function

Atul Dixit, Pramod Eyyunni, Bibekananda Maji +1

We obtain a finite analogue of a recent generalization of an identity in Ramanujan's Notebooks. Differentiating it with respect to one of the parameters leads to a result whose lim…