10 citations · 23 across the 9 of their papers we have counts for
10 papers
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 where and study them along the lines of work done on Euler constant in arithmeti…
Linear Independence of Harmonic Numbers over the field of Algebraic Numbers
Tapas Chatterjee, Sonika Dhillon
Let be the -th harmonic number. Euler extended it to complex arguments and defined for any complex number except for the negativ…
A vanishing criterion for Dirichlet series with periodic coefficients
Tapas Chatterjee, M. Ram Murty, Siddhi Pathak
We address the question of non-vanishing of where is an algebraic-valued, periodic arithmetical function. We do this by characterizing algebraic-valued, periodic funct…
A number field extension of a question of Milnor
Tapas Chatterjee, Sanoli Gun, Purusottam Rath
Milnor formulated a conjecture about rational linear independence of some special Hurwitz zeta values. The second and third authors along with Ram Murty studied this conjecture and…
On a conjecture of Erdös and certain Dirichlet series
Tapas Chatterjee, M. Ram Murty
Let be such that for , and . Then Erdös conjectured that . For even, this is trivially…
On the zeros of generalized Hurwitz zeta functions
Tapas Chatterjee, Sanoli Gun
In this note, we prove the existence of infinitely many zeros of certain generalized Hurwitz zeta functions in the domain of absolute convergence. This is a generalization of a cla…