Rapid computation of $L$-functions attached to Maass forms

Andrew R. Booker, Holger Then

Published 2017-03-26Version 1

Let $L$ be a degree-$2$ $L$-function associated to a Maass cusp form. We explore an algorithm that evaluates $t$ values of $L$ on the critical line in time $O(t^{1+\varepsilon})$. We use this algorithm to rigorously compute an abundance of consecutive zeros and investigate their distribution.