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Modular L-values of cubic level
Andrew Knightly and Charles Li |
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Vol. 260 (2012), No. 2, 527–563
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Correction: 10.2140/pjm.2015.278.253
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Abstract |
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Using a simple relative trace formula, we compute averages of twisted modular L-values for newforms of cubic level. In the case of Maass forms, we obtain an exact formula. For holomorphic forms of weight k > 2, we obtain an asymptotic formula, which agrees with the estimate predicted by the Lindelöf hypothesis in the weight and level aspects. |
Keywords
L-functions, relative trace
formula, supercuspidal representations, Maass forms
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Mathematical Subject Classification 2010
Primary: 11
Secondary: 11F41, 11F70, 11F72
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Milestones
Received: 13 July 2012
Accepted: 4 October 2012
Published: 30 November 2012
Correction: 30 September 2015
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Authors |
| Andrew Knightly | |
| Department of Mathematics and
Statistics University of Maine 5752 Neville Hall, Rm 333 Orono ME 04469-5752 United States |
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| Charles Li | |
| Department of Mathematics The Chinese University of Hong Kong Room 218 Lady Shaw Building Shatin Hong Kong |
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