English

Rapid computation of L-functions for modular forms

Number Theory 2012-05-07 v2

Abstract

Let ff be a fixed (holomorphic or Maass) modular cusp form, with LL-function L(f,s)L(f,s). We describe an algorithm that computes the value L(f,1/2+iT)L(f,1/2+ iT) to any specified precision in time O(1+T7/8)O(1+|T|^{7/8}).

Keywords

Cite

@article{arxiv.1108.4887,
  title  = {Rapid computation of L-functions for modular forms},
  author = {Pankaj Vishe},
  journal= {arXiv preprint arXiv:1108.4887},
  year   = {2012}
}
R2 v1 2026-06-21T18:54:44.716Z