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On Minkowski reduction of positive quaternary quadratic forms

Published online by Cambridge University Press:  26 February 2010

E. S. Barnes
Affiliation:
University of Adelaide, Adelaide, South Australia 5001
M. J. Cohn
Affiliation:
University of Adelaide, Adelaide, South Australia 5001
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§1. Let f(x) = x′Ax be a positive definite or semi–definite n-ary quadratic form with real symmetric matrix A. Then, f is Minkowski-reduced, if for all sets of integers m1, …, mn with gcd (mi, …, mn) = 1,

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Research Article
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Copyright © University College London 1976

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