## Selected topics on ternary forms and norms |

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### Contents

ternary forms representing zero | |

B L van der Waerden translation by H Zassenhaus On the 1st and | |

H Zassenhaus Gauss theory of ternary quadratic forms an example of | 3 |

3 other sections not shown

### Common terms and phrases

assume Aut f Aut_(f automorph bilinear binary form characteristic polynomial circle groups class field theory coefficients commutative congruent conjugate contains corresponding cyclic algebras D-decomposition defined definite degenerate form degree denote determinant Dirichlet region discrete discriminant divides elements equation equivalence class factor finite primes follows form f fundamental region Gauss given Hence Hurwitz quaternions ideal class group implies inequalities int(K integral matrix intersection invariant irreducible isomorphism Kronecker product Lemma linear form mapping matrix transforming multiplication n-ary form nondegenerate norm form obtained orthogonal primitive zero presentation principal ideal Proof proper equivalence classes quadratic fields quadratic form quadratic R-space quaternions r-lattice ramified rank rational integers reduced basis resp rows satisfying space square free strongly reduced subgroup H subgroup of SL(2 submodule subset symmetric matrix Taussky ternary form ternary quadratic form Theorem unimodular matrix unit unramified upper complex vector lattice Zassenhaus