Rapid computation of L-functions for modular forms

Details Rapid computation of L-functions for modular forms Rapid computation of L-functions for modular forms

2011-08-24

arxiv.org/abs/1108.4887v2

Mathematics

Number Theory

Scientific paper

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 $O(1+|T|^{7/8})$.

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