The divisor problem for binary cubic forms
We investigate the average order of the divisor function at values of binary cubic forms that are reducible over and discuss some applications.
Counting rational points on del Pezzo surfaces with a conic bundle structure
For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle structures over k.
Contre-exemples au principe de Hasse pour certains tores coflasques
Nous étudions le comportement asymptotique du nombre de variétés dans une certaine classe ne satisfaisant pas le principe de Hasse. Cette étude repose sur des résultats récemment obtenus par Colliot-Thélène [].
Manin’s conjecture for a quartic del Pezzo surface with singularity
The Manin conjecture is established for a split singular del Pezzo surface of degree four, with singularity type .
On Manin's conjecture for a certain singular cubic surface
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