Rapid Computation of L-functions for Modular Forms

2011/08/31 by Pankaj Vishe · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #math.NT

paper · pdf · doi:10.1093/imrn/rns112

published as International Mathematics Research Notices, 2012

arxiv created 2011/10/18 · openalex publication_date 2012/05/03 · arxiv updated 2012/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

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

Citations

• Some Calculations of the Riemann Zeta-Function

Cited by

• Rapid computation of L-functions attached to Maass forms