4 papers · 1 filter
A modular relation involving a generalized digamma function and asymptotics of some integrals containing
Atul Dixit, Rahul Kumar
A modular relation of the form , where and , is obtained. It involves the generalized digamma function which was recently studied by…
Extended Higher Herglotz function \textup{II}
Rajat Gupta, Rahul Kumar
Very recently, Radchenko and Zagier revived the theory of Herglotz functions. The main goal of the article is to show that one of the formulas on page 220 of Ramanujan's Lost Noteb…
Equivalent criterion for the grand Riemann hypothesis associated to Maass cusp forms
Soumyarup Banerjee, Rahul Kumar
In this article, we obtain transformation formulas analogous to the identity of Ramanujan, Hardy and Littlewood in the setting of primitive Maass cusp form over the congruence subg…
On some -series identities related to a generalized divisor function and their implications
Rajat Gupta, Rahul Kumar
In this article, a -series examined by Kluyver and Uchimura is generalized. This allows us to find generalization of the identities in the random acyclic digraph studied by Simo…