# Lectures on Number Theory

### About this Title

**P. G. L. Dirichlet** and **R. Dedekind**

Publication: History of Mathematics

Publication Year:
1999; Volume 16

ISBNs: 978-0-8218-2017-9 (print); 978-1-4704-3884-5 (online)

DOI: https://doi.org/10.1090/hmath/016

MathSciNet review: MR1710911

MSC: Primary 01A75; Secondary 01A55, 11-01

### Table of Contents

**Front/Back Matter**

**Chapters**

- On the divisibility of numbers
- On the congruence of numbers
- On quadratic residues
- On quadratic forms
- Determination of the class number of binary quadratic forms
- Supplement I. Some theorems from Gauss’s theory of circle division
- Supplement II. On the limiting value of an infinite series
- Supplement III. A geometric theorem
- Supplement IV. Genera of quadratic forms
- Supplement V. Power residues for composite moduli
- Supplement VI. Primes in arithmetic progressions
- Supplement VII. Some theorems from the theory of circle division
- Supplement VIII. On the Pell equation
- Supplement IX. Convergence and continuity of some infinite series