Modular Forms in Pari/GP
Number Theory
2018-10-02 v1
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.
Keywords
Cite
@article{arxiv.1810.00547,
title = {Modular Forms in Pari/GP},
author = {Karim Belabas and Henri Cohen},
journal= {arXiv preprint arXiv:1810.00547},
year = {2018}
}
Comments
Research in the Mathematical Sciences (RMSS), In press