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Journal Articles Research in the Mathematical Sciences Year : 2018

Modular Forms in Pari/GP

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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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Dates and versions

hal-01883565 , version 1 (28-09-2018)

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