Rapid computation of L-functions for modular forms

preprint2011arXivOpen access

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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Rapid computation of L-functions for modular forms

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