Pairs of additive equations IV. Sextic equations
Pairs of additive equations of small degree
Points de hauteur bornée sur les hypersurfaces lisses des variétés toriques
We demonstrate the Batyrev-Manin Conjecture for the number of points of bounded height on hypersurfaces of some toric varieties whose rank of the Picard group is 2. The method used is inspired by the one developed by Schindler for the case of hypersurfaces of biprojective spaces and by Blomer and Brüdern for some hypersurfaces of multiprojective spaces. These methods are based on the Hardy-Littlewood circle method. The constant obtained in the final asymptotic formula is the one conjectured by Peyre....
p-primary parts of unit traces and the p-adic regulator
Primes and Powers of 2.
Problème de Waring avec exposant non entier
Problème de Waring avec exposants non entiers