Central values of the symmetric square $L$-functions
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- by Wenzhi Luo PDF
- Proc. Amer. Math. Soc. 140 (2012), 3313-3322 Request permission
Abstract:
We establish a sharp bound for the square mean of the central values of the symmetric square $L$-functions associated to holomorphic cusp forms of level $1$, as the weight $k$ varies in the short interval $[K,\; K + K^{1/2 + \epsilon }]$.References
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Additional Information
- Wenzhi Luo
- Affiliation: Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210
- MR Author ID: 260185
- Email: wluo@math.ohio-state.edu
- Received by editor(s): February 10, 2011
- Received by editor(s) in revised form: March 31, 2011
- Published electronically: January 31, 2012
- Additional Notes: The author’s research was partially supported by NSF grant DMS-0855600
- Communicated by: Matthew A. Papanikolas
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 3313-3322
- MSC (2010): Primary 11F11, 11F66, 11F67
- DOI: https://doi.org/10.1090/S0002-9939-2012-11174-8
- MathSciNet review: 2929002