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Modular forms in Pari/GP. (English) Zbl 1441.11003

Summary: We give theoretical and practical information on the Pari/GP modular forms package available since the spring of 2018. Thanks to the use of products of two Eisenstein series, this package is the first which can compute Fourier expansions at any cusps, evaluate modular forms near the real axis, evaluate \(L\)-functions of noneigenforms, and compute general Petersson scalar products.

MSC:

11-04 Software, source code, etc. for problems pertaining to number theory
11F03 Modular and automorphic functions

Software:

PARI/GP
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Full Text: DOI arXiv

References:

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