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Lectures on Nx(p) /

"This book deals with the question on how N_X(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-acic c...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Serre, Jean-Pierre, 1926-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boca Raton, FL : CRC Press, ©2012.
Colección:Chapman & Hall/CRC research notes in mathematics series.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Ch. 1. Introduction
  • ch. 2. Examples
  • ch. 3. The Chebotarev density theorem for a number field
  • ch. 4. Review of -adic cohomology
  • ch. 5. Auxiliary results on group representations
  • ch. 6. The -adic properties of N_X(p)
  • ch. 7. The archimedean properties of N_X(p)
  • ch. 8. The Sato-Tate conjecture
  • ch. 9. Higher dimension : the prime number theorem and the Chebotarev theorem.