Published April 2010
| Published
Journal Article
Open
Level lowering for half-integral weight modular forms
- Creators
- Brown, Jim
- Li, Yingkun
Chicago
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Abstract
In this paper we provide a level lowering result for half-integral weight modular forms. The main ingredients are the Shimura map from half-integral weight modular forms to integral weight modular forms along with a level lowering result for integral weight modular forms due to Ribet. It is necessary to keep track of the parity of the weight as well as the character involved so that one can apply the Shintani lift to go back to a half-integral weight modular form and establish the result.
Additional Information
© 2009 American Mathematical Society. Reverts to public domain 28 years from publication. Received by the editors January 14, 2009. Posted: December 9, 2009. Communicated by Wen-Ching Winnie Li. The authors would like to thank the referee for suggestions on how to strengthen and streamline the original arguments. The second author was supported by a Summer Undergraduate Research Fellowship at California Institute of Technology and the John and Maria Laffin Trust.Attached Files
Published - Brown2010p7419P_Am_Math_Soc.pdf
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Brown2010p7419P_Am_Math_Soc.pdf
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Additional details
- Eprint ID
- 17907
- Resolver ID
- CaltechAUTHORS:20100408-142157037
- California Institute of Technology
- John and Maria Laffin Trust
- Created
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2010-04-08Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field