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Modular forms of degree n and representation by quadratic forms V

Published online by Cambridge University Press:  22 January 2016

Yoshiyuki Kitaoka
Yoshiyuki Kitaoka*
Affiliation:
Faculty of Science, Nagoya University, Chikusa-ku, Nagoya 464, Japan
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Let A, B be integral symmetric positive definite matrices of degree m and two, respectively, and suppose that A[X] = B is soluble over Zp for every prime p. If m ≥ 7 and min B = min B[x] (Z2 ∋ x i≠ 0) is sufficiently large, then A[X] = B is soluble over Z. We gave a conditional result for m = 6 in [7] under an assumption on the estimate from above of a kind of generalized Weyl sums. Here we give an unconditional result for special sequences of B.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 111 , September 1988 , pp. 173 - 179
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

References

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