Achimescu, Sever and Abhishek, Saha (2008) Hilbert modular forms of weight 1/2 and theta functions. Journal of Number Theory, 128 (12). pp. 3037-3062. ISSN 0022-314X http://resolver.caltech.edu/CaltechAUTHORS:ACHjnt08
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Abstract
Serre and Stark found a basis for the space of modular forms of weight 1/2 in terms of theta series. In this paper, we generalize their result -— under certain mild restrictions on the level and character -— to the case of weight 1/2 Hilbert modular forms over a totally real field of narrow class number 1. The methods broadly follow those of Serre–Stark; however we are forced to overcome technical difficulties which arise when we move out of Q.
| Item Type: | Article |
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| Additional Information: | © 2008 Elsevier Inc. Received 11 March 2008. Available online 9 June 2008. Communicated by James Cogdell. The authors wish to thank their advisor D. Ramakrishnan for guidance and helpful discussions. |
| Subject Keywords: | HALF-INTEGRAL WEIGHT |
| Record Number: | CaltechAUTHORS:ACHjnt08 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:ACHjnt08 |
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 13149 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Jason Perez |
| Deposited On: | 29 Jan 2009 22:12 |
| Last Modified: | 26 Dec 2012 10:45 |
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