T. Chatterjee

activity

20132019

most citedThe Digamma function, Euler-Lehmer constants and their

p

-adic counterparts

10 citations · 23 across the 9 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

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★ 2 cited

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…