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arXiv · 1108.4887

Rapid computation of L-functions for modular forms

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

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Pankaj Vishe. 2011-10-18. Rapid computation of L-functions for modular forms. https://doi.org/10.1093/imrn%2Frns112

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