Lectures on number theory P.G.L. Dirichlet ; supplements by R. Dedekind ; translated by John Stillwell.

This volume is a translation of Dirichlet's Vorlesungen über Zahlentheorie which includes nine supplements by Dedekind and an introduction by John Stillwell, who translated the volume. Lectures on Number Theory is the first of its kind on the subject matter. It covers most of the topics that ar...

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Bibliographic Details
Main Author: Lejeune Dirichlet, Peter Gustav, 1805-1859
Other Authors: Dedekind, Richard, 1831-1916
Format: eBook
Language:English
German
Published: Providence, RI : [London] : American Mathematical Society ; London Mathematical Society, 1999.
Series:History of Mathematics, no. 16
Subjects:
Online Access:Click for online access
Uniform Title:Vorlesungen über zahlentheorie.
Table of Contents:
  • 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