English

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

Number Theory 2018-06-05 v1

Abstract

Let LL be a degree-22 LL-function associated to a Maass cusp form. We explore an algorithm that evaluates tt values of LL on the critical line in time O(t1+ε)O(t^{1+\varepsilon}). We use this algorithm to rigorously compute an abundance of consecutive zeros and investigate their distribution.

Keywords

Cite

@article{arxiv.1703.08863,
  title  = {Rapid computation of $L$-functions attached to Maass forms},
  author = {Andrew R. Booker and Holger Then},
  journal= {arXiv preprint arXiv:1703.08863},
  year   = {2018}
}
R2 v1 2026-06-22T18:57:16.067Z