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Ternary quadratic forms and Shimura’s correspondence

Published online by Cambridge University Press:  22 January 2016

Paul Ponomarev
Paul Ponomarev*
Affiliation:
Department of Mathematics, The Ohio State University, Columbus, Ohio 43210
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In his paper [11] Shimura defined a correspondence between modular forms of half integral weight and modular forms of integral weight. To each pair (t, f(z)), consisting of a square-free integer t ≥ 1 and a cusp form of weight k/2 (k odd, ≥ 3), level N (divisible by 4) and character ϰ, he associated a certain function f(t)(z) (Ft(z) in Shimura’s notation).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 81 , March 1981 , pp. 123 - 151
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

References

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