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arXiv · 1806.01586

Analytic evaluation of Hecke eigenvalues for classical modular forms

David Armendariz·Owen Colman·Nicolas Coloma·Alexandru Ghitza·Nathan C. Ryan·Dario Teran
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Abstract

We propose a method for computing approximations to the Hecke eigenvalues of a classical modular eigenform $f$, based on the analytic evaluation of $f$ at points in the upper half plane. Our approach works with arbitrary precision, allows for a strict control of the error in the approximation, and outperforms current exact computation methods.

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David Armendariz, Owen Colman, Nicolas Coloma, Alexandru Ghitza, Nathan C. Ryan, Dario Teran. 2018-06-05. Analytic evaluation of Hecke eigenvalues for classical modular forms. https://arxiv.org/abs/1806.01586

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