M. Murty

collaborators

3 papers

math.NT2017

A lower bound for the two-variable Artin conjecture and prime divisors of recurrence sequences

M. Ram Murty, François Séguin, Cameron L. Stewart

In 1927, Artin conjectured that any integer other than -1 or a perfect square generates the multiplicative group $Z / p Z^{\times}$ for infinitely many $p$ . In \cite{M…

math.GR2017

Finite order elements in the integral symplectic group

Kumar Balasubramanian, M. Ram Murty, Karam Deo Shankhadhar

For $g \in N$ , let $G=\Sp(2g,\mathbb{Z})$ be the integral symplectic group and $S (g)$ be the set of all positive integers which can occur as the order of an element in $G$ .…

math.NT2016

Some remarks related to Maeda's conjecture

M. Ram Murty, K. Srinivas

In this article we deal with the problem of counting the number of pairs of normalized eigenforms $(f, g)$ of weight $k$ and level $N$ such that $a_{p} (f) = a_{p} (g)$ where $a_p (…