## The arithmetic theory of quadratic formsMathematical Association of America, distributed by Wiley [New York, 1950 - Forms, Quadratic - 212 pages |

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### Contents

CHAPTER PAOB I Forms with real coefficients 1 Fundamental notions | 1 |

A canonical form for congruence | 3 |

The determination of the index of a form | 7 |

Copyright | |

51 other sections not shown

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### Common terms and phrases

aia2 binary forms canonical form continued fraction corollary 14 cp(f cp(J denominators diagonal form dividing 2d field of reals finite form f form in F(p forms of determinant Furthermore genus Hasse invariant Hasse symbol hence Hilbert symbol ideal class identity matrix implies improperly primitive form integral coefficients integral elements integral form leading coefficient lemma minor determinants mod pk mod q multiplication n-ary form non-singular non-trivial solution non-zero determinant number of variables numbers represented odd prime p-adic fields p-adic integers p-adic number Pell equation permutation positive integer prime factors prime to 2d primes p dividing proof of theorem proper automorphs prove THEOREM quadratic forms quadratic integers rational numbers reduced form replacing rows and columns semi-integral solution shows square square-free square-free integers suppose symmetric matrix takes f ternary forms theorem 29 theorem 33a transformation taking unimodular matrix unimodular transformation unit determinant XTAX zero form