**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

**Pluckings from the tree of Smarandache: Sequences and functions**

by

**Charles Ashbacher**-

**American Research Press**

The third book in a series exploring the set of problems called Smarandache Notions. This work delves more deeply into the mathematics of the problems, the level of difficulty here will be somewhat higher than that of the previous books.

(

**12723**views)

**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.

(

**7912**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.

(

**8547**views)

**On Some of Smarandache's Problems**

by

**Krassimir Atanassov**-

**Erhus Univ Pr**

A collection of 27 Smarandache's problems which the autor solved by 1999. 22 problems are related to different sequences, 4 problems are proved, modifications of two problems are formulated, and counterexamples to two of the problems are constructed.

(

**7311**views)