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On spinor exceptional representations

Published online by Cambridge University Press:  22 January 2016

J. W. Benham  and
J. S. Hsia
J. W. Benham
Affiliation:
Department of Mathematics, Ohio State University, 231 W. 18th Avenue, Columbus, Ohio 43210USA
J. S. Hsia
Affiliation:
Department of Mathematics, Ohio State University, 231 W. 18th Avenue, Columbus, Ohio 43210USA
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Let f(x1 …, xm) be a quadratic form with integer coefficients and c ∈ Z. If f(x) = c has a solution over the real numbers and if f(x) ≡ c (mod N) is soluble for every modulus N, then at least some form h in the genus of f represents c. If m ≧ 4 one may further conclude that h belongs to the spinor genus of f. This does not hold when m = 3.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 87 , November 1982 , pp. 247 - 260
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

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