**Introduction to Shimura Varieties**

by J.S. Milne

2004**Number of pages**: 149

**Description**:

This is an introduction to the theory of Shimura varieties, or, in other words, to the arithmetic theory of automorphic functions and holomorphic automorphic forms. Because of their brevity, many proofs have been omitted or only sketched.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**Algorithms for Modular Elliptic Curves**

by

**J. E. Cremona**-

**Cambridge University Press**

The author describes the construction of modular elliptic curves giving an algorithm for their computation. Then algorithms for the arithmetic of elliptic curves are presented. Finally, the results of the implementations of the algorithms are given.

(

**11320**views)

**Topics in the Theory of Quadratic Residues**

by

**Steve Wright**-

**arXiv**

Beginning with Gauss, the study of quadratic residues and nonresidues has subsequently led directly to many of the ideas and techniques that are used everywhere in number theory today, and the primary goal of these lectures is to use this study ...

(

**3683**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.

(

**8221**views)

**Lectures On Irregularities Of Distribution**

by

**Wolfgang M. Schmidt**-

**Tata Institute of Fundamental Research**

The theory of Irregularities of Distribution began as a branch of Uniform Distributions, but is of independent interest. In these lectures the author restricted himself to distribution problems with a geometric interpretation.

(

**5290**views)