Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/902
Title: Euler-Hadamard products and power moments of symmetric square L-functions
Authors: Đanković, Goran 
Affiliations: Algebra and Mathematical Logic 
Keywords: central values;Euler-Hadamard products;moments;Symmetric square L-functions
Issue Date: 1-May-2013
Journal: International Journal of Number Theory
Abstract: 
In this paper we prove asymptotic formulas for general moments of partial Euler products and the first and the second moments of partial Hadamard products related to central values of the family of L-functions associated to the symmetric square lifts of holomorphic modular forms for SL2(ℤ). Then using a hybrid Euler-Hadamard product formula for the central value, we relate these results with conjectures for general power moments of L-functions in this family and with Random Matrix Theory interpretations. This continues the work done previously by Gonek-Hughes-Keating and Bui-Keating for other families of L-functions. © 2013 World Scientific Publishing Company.
URI: https://research.matf.bg.ac.rs/handle/123456789/902
ISSN: 17930421
DOI: 10.1142/S1793042112501527
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