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Some remarks on representations of positive definite quadratic forms

Published online by Cambridge University Press:  22 January 2016

Yoshiyuki Kitaoka*
Affiliation:
Department of Mathematics, School of Science, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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Let S, T be positive definite integral symmetric matrices of degree m, n respectively and let us consider the quadratic diophantine equation S[X] = T. We know already [1] that the following assertion (A)m>n is true for m ≥ 2n + 3.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

References

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