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]
< Leer menos
Lithe and fast algorithmic number theory [LFANT]
Institut de Mathématiques de Bordeaux [IMB]
Idioma
en
Chapitre d'ouvrage
Este ítem está publicado en
Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory, Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory. 2019
Springer
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Petersson products
Modular forms
Orígen
Importado de HalCentros de investigación