Lectures on N_X (p)
By: Jean-Pierre Serre
Series: Research notes in mathematics -- v. 11
Publisher: CRC Press
Published: 2012
Place of publication: Boca Raton, FL
Language: eng
Number of pages: 163
ISBN-13: 9781466501928
Subjects: MATHEMATICS / Number Theory; Number theory; Cohomology operations; Representations of groups; Polynomials
Description: "This book presents several basic techniques in algebraic geometry, group representations, number theory, -adic and standard cohomology, and modular forms. It explores how NX(p) varies with p when the family (X) of polynomial equations is fixed. The text examines the size and congruence properties of NX(p) and describes the ways in which it is computed. Along with covering open problems and offering simple, illustrative examples, the author presents various theorems, including the Chebotarev density theorem and the prime number theorem"--

"The main topic involves counting solutions mod p of a system of polynomial equations, as p varies. The book is based on a series of lectures presented by the author in Taiwan. Using this idea, Serre visits algebra and number theory and asks some non-standard questions, especially on group representations"--
Notes: "An AK Peters book."

Includes bibliographical references and indexes.