M. Ram Murty

most citedEffective equidistribution and the Sato-Tate law for families of elliptic curves

9 citations · 12 across the 3 of their papers we have counts for

collaborators

3 papers

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…

math.CO2010

A combinatorial identity for studying Sato-Tate type problems

Steven J. Miller, M. Ram Murty, Frederick W. Strauch

We derive a combinatorial identity which is useful in studying the distribution of Fourier coefficients of L-functions by allowing us to pass from knowledge of moments of the coeff…

math.NT2010★ 9 cited

Effective equidistribution and the Sato-Tate law for families of elliptic curves

Steven J. Miller, M. Ram Murty

Extending recent work of others, we provide effective bounds on the family of all elliptic curves and one-parameter families of elliptic curves modulo p (for p prime tending to inf…