Lectures on Nx(p)
 Author/Creator
 Serre, JeanPierre, 1926
 Language
 English.
 Imprint
 Boca Raton, FL : CRC Press, c2012.
 Physical description
 ix, 163 p. : ill. ; 24 cm.
 Series
 Chapman & Hall/CRC research notes in mathematics series.
Access
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 147155) and indexes.
 Contents

 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 SatoTate conjecture
 ch. 9. Higher dimension : the prime number theorem and the Chebotarev theorem.
 Summary
 "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" Provided by publisher.
 "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 nonstandard questions, especially on group representations" Provided by publisher.
Bibliographic information
 Publication date
 2012
 Responsibility
 JeanPierre Serre.
 Series
 Research notes in mathematics ; v. 11
 Note
 On t.p. "x" is subscript.
 "An AK Peters book."
 ISBN
 9781466501928
 1466501928