M. Murty

activity

19942023

most citedOn the error term in a Parseval type formula in the theory of Ramanujan expansions

15 citations · 58 across the 22 of their papers we have counts for

collaborators

Showing 2014 · math.NTShow all

3 papers · 2 filters

math.NT2014

Oscillations of coefficients of Dirichlet series attached to automorphic forms

Jaban Meher, M. Ram Murty

For $m \geq 2$ , let $π$ be an irreducible cuspidal automorphic representation of $G L_{m} (A_{Q})$ with unitary central character. Let $a_{π} (n)$ be the $n^{t h}$ coeffici…

math.NT2014

Non-vanishing of Dirichlet series with periodic coefficients

Tapas Chatterjee, M. Ram Murty

For any periodic function $f : N \to C$ with period $q$ , we study the Dirichlet series $L (s, f) := \sum_{n \geq 1} f (n) / n^{s} .$ It is well-known that this admits an ana…

math.NT2014★ 3 cited

Divisors of Fourier coefficients of modular forms

Sanoli Gun, M. Ram Murty

Let $d (n)$ denote the number of divisors of $n$ . In this paper, we study the average value of $d (a (p))$ , where $p$ is a prime and $a (p)$ is the $p$ -th Fourier coefficient of a norm…