History of the Theory of Numbers, Volume III: Quadratic and Higher Forms

by Leonard Eugene Dickson

Overview

This 3rd volume in the series History of the Theory of Numbers presents material related to Quadratic and Higher Forms. Volume III is mainly concerned with general theories rather than with special problems and special theorems. The investigations deal with the most advanced parts of the theory of numbers. 1919 edition.

Product Details

ISBN-13:	9780486154619
Publisher:	Dover Publications
Publication date:	01/27/2012
Sold by:	Barnes & Noble
Format:	eBook
Pages:	320
File size:	43 MB
Note:	This product may take a few minutes to download.

About the Author

Leonard Eugene Dickson taught at the University of Chicago.

Table of Contents

I. Reduction and Equivalence of Binary Quadratic Forms, Representation of Integers
II. Explicit Values of x, y
III. Composition of Binary Quadratic Forms
IV. Orders and Genera; Their Composition
V. Irregular Determinants
VI. Number of Classes of Binary Quadratic Forms With Integral Coefficients
VII. Binary Quadratic Forms Whose Coefficients Are Complete Integers or Integers of a Field
VIII. Number of Classes of Binary Quadratic Forms with Complex Integral Coefficients
IX. Ternary Quadratic Forms
X. Quaternary Quadratic Forms
XI. Quadratic Forms in n Variables
XII. Binary Cubic Forms
XIII. Cubic Forms in Three or More Variables
XIV. Forms of Degree n>4
XV. Binary Hermitian Forms
XVI. Hermitian Forms in n Variables and Their Conjugates
XVII. Bilinear Forms, Matrices, Linear Substitutions
XVIII. Representation by Polynomials Modulo p
XIX. Congruencial Theory of Forms
Indexes