Rajat Gupta

activity

20182023

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

ζ (2 m + 1)

1 citations · 4 across the 10 of their papers we have counts for

collaborators

Showing 2022 · math.NTShow all

2 papers · 2 filters

math.NT2022

Two General Series Identities Involving Modified Bessel Functions and a Class of Arithmetical Functions

Bruce C. Berndt, Atul Dixit, Rajat Gupta +1

We consider two sequences $a (n)$ and $b (n)$ , $1 \leq n < \infty$ , generated by Dirichlet series $$\sum_{n=1}^{\infty}\frac{a(n)}{λ_n^{s}}\qquad\text{and}\qquad \sum_{n=1}^{\infty}\fra…

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…