A K Peters/CRC Press
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
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.