Tapas Chatterjee

most citedOn the zeros of generalized Hurwitz zeta functions

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math.NT2015★ 1 cited

On a conjecture of Erdös and certain Dirichlet series

Tapas Chatterjee, M. Ram Murty

Let $f : Z / q Z \to Z$ be such that $f (a) = \pm 1$ for $1 \leq a < q$ , and $f (q) = 0$ . Then Erdös conjectured that $\sum_{n \geq 1} \frac{f ( n )}{n} \neq = 0$ . For $q$ even, this is trivially…

math.NT2014★ 1 cited

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…