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On twisting operators and newforms of half-integral weight

Published online by Cambridge University Press:  22 January 2016

Masaru Ueda
Masaru Ueda*
Affiliation:
Department of Mathematics Faculty of Science Nara Women’s University, Nara 630, Japan (E-Mail: ueda@math.nara-wu.ac.jp)
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The theory of newforms is very important and useful for arithmetical study of modular forms of integral weight. It is natural to try to extend this theory into the case of modular forms of half-integral weight Until now, several authors have attempted to find a theory of newforms of half-integral weight (cf. [She], [N], [K], [M-R-V], [She-W]). But complete results have not been obtained yet.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 131 , September 1993 , pp. 135 - 205
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1993

References

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