Expansions at Cusps and Petersson Products in Pari/GP
COHEN, Henri
Lithe and fast algorithmic number theory [LFANT]
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
Institut de Mathématiques de Bordeaux [IMB]
COHEN, Henri
Lithe and fast algorithmic number theory [LFANT]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Lithe and fast algorithmic number theory [LFANT]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Chapitre d'ouvrage
This item was published in
Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory, Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory. 2019
Springer
English Abstract
We begin by explaining how to compute Fourier expansions at all cusps of any modular form of integral or half-integral weight thanks to a theorem of Borisov-Gunnells and explicit expansions of Eisenstein series at all ...Read more >
We begin by explaining how to compute Fourier expansions at all cusps of any modular form of integral or half-integral weight thanks to a theorem of Borisov-Gunnells and explicit expansions of Eisenstein series at all cusps. Using this, we then give a number of methods for computing arbitrary Petersson products. All this is available in the current release of the Pari/GP package.Read less <
English Keywords
Petersson products
Modular forms
Origin
Hal imported