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Modular forms of degree n and representation by quadratic forms

Published online by Cambridge University Press:  22 January 2016

Yoshiyuki Kitaoka
Yoshiyuki Kitaoka*
Affiliation:
Department of Mathematics, Nagoya University
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Let A(m), B(n) be positive definite integral matrices and suppose that B is represented by A over each p-adic integers ring Zp. Using the circle method or theory of modular forms in case of n = 1, B, if sufficiently large, is represented by A provided that m ≥ 5. The approach via the theory of modular forms has been extended by [7] to Siegel modular forms to obtain a partial result in the particular case when n = 2, m ≥ 7.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 74 , July 1979 , pp. 95 - 122
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1979

References

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