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

 


Orateur(s) G. Shimura - ,
Titre Quadratic Diophantine equations and class numbers
Date10/05/2004
Horaire14:00 à 16:00
Diffusion
RésumeGauss showed that the number of primitive representations ofan integer as sums of 3 squares is a simple factor times the classnumber of binary forms of a fixed discriminant. We present a generalprinciple on a quadratic form of $n$ variables that connectsa primitive representation of an integer by the form to aclass of an orthogonal group in dimension $n-1$. The case of 3 squaresis an easiest example.
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