Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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Description

http://www.imj-prg.fr/tn/STN/stnj.html

 


Orateur(s) G. Shimura - ,
Titre The number of representations of an integer by a quadratic form.
Date15/05/2000
Horaire14:00 à 16:00
Diffusion
Résume This concerns the average of the representation numbers of adefinite quadratic form over a totally real number field, asconsidered by Siegel. He gave a product formula for the averagedivided by the mass of the genus in question. He computed almost allfactors, but some factors were given only as representationdensities, without explicit formulas. We present an exact formulathat gives the average as a finite product of certain explicitlydefined quantities.
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