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]
< Réduire
Lithe and fast algorithmic number theory [LFANT]
Institut de Mathématiques de Bordeaux [IMB]
Langue
en
Chapitre d'ouvrage
Ce document a été publié dans
Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory, Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory. 2019
Springer
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
Petersson products
Modular forms
Origine
Importé de halUnités de recherche