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Ternary quadratic forms and Brandt matrices

Published online by Cambridge University Press:  22 January 2016

Rainer Schulze-Pillot
Rainer Schulze-Pillot*
Affiliation:
Freie Universität, Berlin Institut für Mathematik II, Arnimallee 3, 1000 Berlin (West) 33
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In a recent paper [9] the author showed (among other results) estimates on the asymptotic behaviour of the representation numbers of positive definite integral ternary quadratic forms, in particular, that for n in a fixed square class tZ2 and lattices L, K in the same spinor genus one has . The main tool utilized for the proof was the theory of modular forms of weight 3/2, especially Shimura’s lifting from the space of cusp forms of weight 3/2 to the space of modular forms of weight 2.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 102 , June 1986 , pp. 117 - 126
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

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