Book:Leonard Eugene Dickson/History of the Theory of Numbers/Volume III
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Leonard Eugene Dickson: History of the Theory of Numbers, Volume $\text { III: Quadratic and Higher Forms }$
Published $\text {1923}$, AMS Chelsea
- ISBN 0-8218-1936-4
Subject Matter
Contents
- PREFACE
- Chapter.
- $\text{I}$. Reduction and Equivalence of Binary Quadratic Forms, Representation of Integers
- $\text{II}$. Explicit Values of $x, y$ in $x^2 + \Delta y^2 = g$
- $\text{III}$. Composition of Binary Quadratic Forms
- $\text{IV}$. Orders and Genera: Their Composition
- $\text{V}$. Irregular Determinants
- $\text{VI}$. Number of Classes of Binary Quadratic Forms with Integral Coefficients
- $\text{VII}$. Binary Quadratic Forms Whose Coefficients are Complex Integers or Integers of a Field
- $\text{VIII}$. Number of Classes of Binary Quadratic Forms with Complex Integral Coefficients
- $\text{IX}$. Ternary Quadratic Forms
- $\text{X}$. Quaternary Quadratic Forms
- $\text{XI}$. Quadratic Forms in $n$ Variables
- $\text{XII}$. Binary Cubic Forms
- $\text{XIII}$. Cubic Forms in Three or More Variables
- $\text{XIV}$. Forms of Degree $n \ge 4$
- $\text{XV}$. Binary Hermitian Forms
- $\text{XVI}$. Hermitian Forms in $n$ Variaables and Their Conjugates
- $\text{XVII}$. Bilinear Forms, Matrices, Linear Substitutions
- $\text{XVIII}$. Representation by Polynomials Modulo $p$
- Analytic Representation of Substitutions, Polynomials Representing All Integers Modulo $p$
- Polynomials Representing Only Numbers of Prescribed Nature
- $\text{XIX}$. Congruencial Theory of Forms
- Modular Invariants and Covariants
- Reduction of Modular Forms to Canonical Types
- Formal Modular Invariants and Covariants
- Author Index
- Subject Index