Lectures on N_X(p): 1st Edition (e-Book) book cover

Lectures on N_X(p)

1st Edition

By Jean-Pierre Serre

A K Peters/CRC Press

174 pages

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Hardback: 9781466501928
pub: 2011-11-03
eBook (VitalSource) : 9780429067617
pub: 2016-04-19
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Lectures on NX(p) deals with the question on how NX(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-adic cohomology and group representations, presented in

Table of Contents

Introduction. Examples. The Chebotarev Density Theorem for a Number Field . Review of l-adic Cohomology. Auxiliary Results on Group Representations. The l-adic Properties of NX(p). The Archimedean Properties of NX(p). The Sato-Tate Conjecture. Higher Dimension: The Prime Number Theorem and the Chebotarev Density. Relative Schemes. References. Index of Notations. Index of Terms.

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Number Theory