This book covers topics including the Redei-Reichardt theorem, automorphs of ternary quadratic forms, facts concerning rational matrices leading to integral ternary forms representing zero, characteristics polynomials of symmetric matrices, and Gauss' theory of ternary quadratic forms.
Table of Contents
1. The Redei-Reichardt Theorem: Another Proof 2. Automorphs of Ternary Quadratic Forms 3. On a Theorem of Gausz concerning the Number of Integral Solutions of the Equation x2 4- y2 + z2= m 4. Two Facts concerning Rational 2 X 2 Matrices Leading to Integral Ternary Forms Representing Zero 5. On the 1st and 2nd Quadratic Form 6. Characteristics Polynomials of Symmetric Matrices 7. Gauss1 Theory of Ternary Quadratic Forms, an Example of the Theory of Homogeneous Forms in Many Variables, with Applications