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Modular forms of degree n and representation by quadratic forms II

Published online by Cambridge University Press:  22 January 2016

Yoshiyuki Kitaoka
Yoshiyuki Kitaoka*
Affiliation:
Department of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464, Japan
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Let S(m), T(n) be positive definite integral matrices and suppose that T is represented by S over each p-adic integer ring Zp. We proved arithmetically in [3] that T is represented by S over Z provided that m ≥ 2n + 3 and the minimum of T is sufficiently large. This guarantees the existence of at least one representation but does not give any asymptotic formula for the number of representations. To get an asymptotic formula we must employ analytic methods.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 87 , November 1982 , pp. 127 - 146
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

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