Rapid computation of L-functions for modular forms

Abstract

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

Cited by in corpus (2)

• Rapid computation of $L$-functions attached to Maass forms
• Computing Dirichlet character sums to a power-full modulus