**Topics in the Theory of Quadratic Residues**

by Steve Wright

**Publisher**: arXiv 2014**Number of pages**: 160

**Description**:

Beginning with the fundamental contributions of Gauss, the study of quadratic residues and nonresidues has subsequently led directly to many of the key ideas and techniques that are used everywhere in number theory today, and the primary goal of these lectures is to use this study as a window through which to view the development of some of those ideas and techniques.

Download or read it online for free here:

**Download link**

(960KB, PDF)

## Similar books

**The Smarandache Function**

by

**C. Dumitrescu, V. Seleacu**-

**Erhus University Press**

The function in the title is originated from the Romanian mathematician Florentin Smarandache, who has significant contributions in mathematics and literature. This text introduces the Smarandache function and discusses its generalisations.

(

**7679**views)

**Notes on Fermionic Fock Space for Number Theorists**

by

**Greg W. Anderson**-

**The University of Arizona**

This is a compilation of exercises, worked examples and key references that the author compiled in order to help readers learn their way around fermionic Fock space. The text is suitable for use by graduate students with an interest in number theory.

(

**7924**views)

**Geometric Theorems and Arithmetic Functions**

by

**Jozsef Sandor**-

**American Research Press**

Contents: on Smarandache's Podaire theorem, Diophantine equation, the least common multiple of the first positive integers, limits related to prime numbers, a generalized bisector theorem, values of arithmetical functions and factorials, and more.

(

**13133**views)

**Harmonic Analysis, the Trace Formula, and Shimura Varieties**

by

**J. Arthur, D. Ellwood, R. Kottwitz**-

**American Mathematical Society**

The goal of this volume is to provide an entry point into the challenging field of the modern theory of automorphic forms. It is directed on the one hand at graduate students and professional mathematicians who would like to work in the area.

(

**7955**views)