**Modular Forms, Hecke Operators, and Modular Abelian Varieties**

by Kenneth A. Ribet, William A. Stein

**Publisher**: University of Washington 2003**Number of pages**: 154

**Description**:

Contents: The Main objects; Modular representations and algebraic curves; Modular Forms of Level 1; Analytic theory of modular curves; Modular Symbols; Modular Forms of Higher Level; Newforms and Euler Products; Hecke operators as correspondences; Abelian Varieties; Abelian Varieties Attached to Modular Forms; L-functions; The Birch and Swinnerton-Dyer Conjecture.

Download or read it online for free here:

**Download link**

(880KB, PDF)

## Similar books

**An Introduction to the Smarandache Function**

by

**Charles Ashbacher**-

**Erhus Univ Pr**

In the 1970's a Rumanian mathematician Florentin Smarandache created a new function in number theory, which consequences encompass many areas of mathematics.The purpose of this text is to examine some of those consequences.

(

**9973**views)

**A set of new Smarandache functions, sequences and conjectures in number theory**

by

**Felice Russo**-

**American Research Press**

The fascinating Smarandache's universe is halfway between the recreational mathematics and the number theory. This book presents new Smarandache functions, conjectures, solved and unsolved problems, new type sequences and new notions in number theory.

(

**10081**views)

**Essays on the Theory of Numbers**

by

**Richard Dedekind**-

**The Open Court Publishing**

This is a book combining two essays: 'Continuity and irrational numbers' - Dedekind's way of defining the real numbers from rational numbers; and 'The nature and meaning of numbers' where Dedekind offers a precise explication of the natural numbers.

(

**11108**views)

**Lectures on Shimura Varieties**

by

**A. Genestier, B.C. Ngo**

The goal of these lectures is to explain the representability of moduli space abelian varieties with polarization, endomorphism and level structure, due to Mumford and the description of the set of its points over a finite field, due to Kottwitz.

(

**7104**views)