**Heegner Points and Rankin L-Series**

by Henri Darmon, Shou-Wu Zhang

**Publisher**: Cambridge University Press 2004**ISBN/ASIN**: 052183659X**ISBN-13**: 9780521836593**Number of pages**: 382

**Description**:

This volume, based on a workshop on Special Values of Rankin L-Series held at the MSRI in December 2001, is a collection of articles written by many of the leading contributors in the field, having the Gross-Zagier formula and its avatars as a common unifying theme. It serves as a valuable reference for mathematicians wishing to become better acquainted with the theory of complex multiplication, automorphic forms, the Rankin-Selberg method, arithmetic intersection theory, Iwasawa theory, and other topics related to the Gross-Zagier formula.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**A Course In Algebraic Number Theory**

by

**Robert B. Ash**-

**University of Illinois**

Basic course in algebraic number theory. It covers the general theory of factorization of ideals in Dedekind domains, the use of Kummerâ€™s theorem, the factorization of prime ideals in Galois extensions, local and global fields, etc.

(

**15767**views)

**Introduction to Algebraic Number Theory**

by

**William Stein**-

**University of Washington**

Topics in this book: Rings of integers of number fields; Unique factorization of ideals in Dedekind domains; Structure of the group of units of the ring of integers; Finiteness of the group of equivalence classes of ideals of the ring of integers...

(

**12133**views)

**Lectures on Field Theory and Ramification Theory**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology, Bombay**

These are notes of a series of lectures, aimed at covering the essentials of Field Theory and Ramification Theory as may be needed for local and global class field theory. Included are the two sections on cyclic extensions and abelian extensions.

(

**10039**views)

**Lectures on Siegel Modular Forms and Representation by Quadratic Forms**

by

**Y. Kitaoka**-

**Tata Institute of Fundamental Research**

This book is concerned with the problem of representation of positive definite quadratic forms by other such forms. From the table of contents: Preface; Fourier Coefficients of Siegel Modular Forms; Arithmetic of Quadratic Forms.

(

**7469**views)