Rapid computation of L-functions for modular forms
classification
🧮 math.NT
keywords
modularalgorithmcomputationcomputescuspdescribefixedform
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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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