Modular Forms in Pari/GP

Karim Belabas 1, 2 Henri Cohen 2, 1
2 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : 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 non-eigenforms, and compute general Petersson scalar products.
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Journal articles
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https://hal.inria.fr/hal-01883565
Contributor : Karim Belabas <>
Submitted on : Friday, September 28, 2018 - 5:31:49 PM
Last modification on : Friday, October 5, 2018 - 5:14:02 PM
Long-term archiving on: Saturday, December 29, 2018 - 1:36:11 PM

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  • HAL Id : hal-01883565, version 1
  • ARXIV : 1810.00547

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Karim Belabas, Henri Cohen. Modular Forms in Pari/GP. Research in the Mathematical Sciences , Springer, In press. ⟨hal-01883565⟩

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