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Local densities of quadratic forms and Fourier coefficients of Eisenstein series

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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Local densities of quadratic forms are important invariants in the theory of quadratic forms and they appear in Fourier coefficients of Eisenstein series. But it is not easy to evaluate them. To study their properties, it is desirable to look for relations among them, and it is known that there are many relations [3], but they are not concise. We consider a different kind of relations here and improve a result of Zharkovskaja [8, 9] in the case of Eisenstein series as an application.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 103 , October 1986 , pp. 149 - 160
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

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