T. Chatterjee

most citedShifted Euler constants and a generalization of Euler-Stieltjes constants

9 citations · 9 across the 1 of their papers we have counts for

collaborators

3 papers

math.NT2019★ 9 cited

Shifted Euler constants and a generalization of Euler-Stieltjes constants

Tapas Chatterjee, Suraj Singh Khurana

The purpose of this article is twofold. First, we introduce the constants $ζ_{k} (α, r, q)$ where $α \in (0, 1)$ and study them along the lines of work done on Euler constant in arithmeti…

math.NT2018

Linear Independence of Harmonic Numbers over the field of Algebraic Numbers

Tapas Chatterjee, Sonika Dhillon

Let $H_{n} = k = 1 \sum n \frac{1}{k}$ be the $n$ -th harmonic number. Euler extended it to complex arguments and defined $H_{r}$ for any complex number $r$ except for the negativ…

math.NT2018

A vanishing criterion for Dirichlet series with periodic coefficients

Tapas Chatterjee, M. Ram Murty, Siddhi Pathak

We address the question of non-vanishing of $L (1, f)$ where $f$ is an algebraic-valued, periodic arithmetical function. We do this by characterizing algebraic-valued, periodic funct…