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Central values of the symmetric square  -functions
Author:
Wenzhi Luo
Journal:
Proc. Amer. Math. Soc.
MSC (2010):
Primary 11F11, 11F66, 11F67
Posted:
January 31, 2012
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Abstract: We establish a sharp bound for the square mean of the central values of the symmetric square  -functions associated to holomorphic cusp forms of level  , as the weight  varies in the short interval ![$ [K,\; K + K^{1/2 + \epsilon }]$](images/img5.gif) .
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Additional Information
Wenzhi Luo
Affiliation:
Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210
Email:
wluo@math.ohio-state.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-2012-11174-8
PII:
S 0002-9939(2012)11174-8
Received by editor(s):
February 10, 2011
Received by editor(s) in revised form:
March 31, 2011
Posted:
January 31, 2012
Additional Notes:
The author’s research was partially supported by NSF grant DMS-0855600
Communicated by:
Matthew A. Papanikolas
Article copyright:
© Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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