Équirépartition adélique de mesures algébriques dans un groupe résoluble et sommes de Kloosterman

• Autores: E. Kowalski
• Localización: Archiv der Mathematik, ISSN 0003-889X, Vol. 88, Nº. 3, 2007, págs. 220-234
• Idioma: francés
• DOI: 10.1007/s00013-006-1818-3
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper answers a question of Clozel and Ullmo, showing that certain sequences of adelically-defined probability measures defined on an adelic quotient of a solvable group converge to the uniform measure on that quotient. This turns out to depend on any non-trivial estimate for classical Kloosterman sums. At the end, a ¿horizontal¿ analogue of the problem is stated and solved using a result of Duke, Friedlander and Iwaniec.