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Normes p -adiques et extensions quadratiques

Christophe Cornut (2009)

Annales de l’institut Fourier

On classifie les orbites de H sur l’immeuble de Bruhat-Tits de G pour trois paires sphériques ( G , H ) de groupes p -adiques classiques.

Number of solutions of cubic Thue inequalities with positive discriminant

N. Saradha, Divyum Sharma (2015)

Acta Arithmetica

Let F(X,Y) be an irreducible binary cubic form with integer coefficients and positive discriminant D. Let k be a positive integer satisfying k < ( ( 3 D ) 1 / 4 ) / 2 π . We give improved upper bounds for the number of primitive solutions of the Thue inequality | F ( X , Y ) | k .

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