**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

**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...

(

**7317**views)

**An Introduction to Algebraic Number Theory**

by

**F. Oggier**-

**Nanyang Technological University**

Contents: Algebraic numbers and algebraic integers (Rings of integers, Norms and Traces); Ideals (Factorization and fractional ideals, The Chinese Theorem); Ramification theory; Ideal class group and units; p-adic numbers; Valuations; p-adic fields.

(

**5843**views)

**Lectures on Topics in Algebraic Number Theory**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology, Bombay**

These lecture notes give a rapid introduction to some basic aspects of Algebraic Number Theory with as few prerequisites as possible. Topics: Field Extensions; Ring Extensions; Dedekind Domains and Ramification Theory; Class Number and Lattices.

(

**5920**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.

(

**5456**views)