Lectures on Nx(p)

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"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 cohomology and group representations, presented in a context that is appealing to specialists in number theory and algebraic geometry"--

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Title Statements

Full title :Lectures on Nx(p) / Jean-Pierre Serre.

Summary

Edition Statements

Publication Date:©2012.

Publication Statements

Publisher(s):CRC Press
Place of Publication:Boca Raton, FL
Language:eng
Publication Date:©2012.

Notes

On t.p. "x" is subscript.

"An AK Peters book."

The Physical Object

Description:1 online resource (ix, 163 pages) : : illustrations

Edition Identifiers

ISBN:9781466501935, 1466501936
oclc:ocn773034262
LC Classification:QA161.P59
Dewey Decimal:512.9/422

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.

Subjects

Cohomology operations MATHEMATICS -- Algebra MATHEMATICS -- Number Theory Number theory Opérations cohomologiques Polynômes polynomials Représentations de groupes Representations of groups Théorie des nombres