Rahul Kumar

activity

20202023

most citedA note on odd zeta values over any number field and Extended Eisenstein series

1 citations · 1 across the 5 of their papers we have counts for

collaborators

Showing 2022 · math.NTShow all

2 papers · 2 filters

math.NT2022

A modular relation involving a generalized digamma function and asymptotics of some integrals containing $Ξ (t)$

Atul Dixit, Rahul Kumar

A modular relation of the form $F (α, w) = F (β, i w)$ , where $i = - 1$ and $α β = 1$ , is obtained. It involves the generalized digamma function $ψ_{w} (a)$ which was recently studied by…

math.NT2022

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…

A modular relation involving a generalized digamma function and asymptotics of some integrals containing Ξ(t)

Extended Higher Herglotz function \textup{II}

A modular relation involving a generalized digamma function and asymptotics of some integrals containing $Ξ (t)$