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15 April 2019 Twisted moments of L-functions and spectral reciprocity
Valentin Blomer, Rizwanur Khan
Duke Math. J. 168(6): 1109-1177 (15 April 2019). DOI: 10.1215/00127094-2018-0060

Abstract

We establish a reciprocity formula that expresses the fourth moment of automorphic L-functions of level q twisted by the th Hecke eigenvalue as the fourth moment of automorphic L-functions of level twisted by the qth Hecke eigenvalue. Direct corollaries include subconvexity bounds for L-functions in the level aspect and a short proof of an upper bound for the fifth moment of automorphic L-functions.

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Valentin Blomer. Rizwanur Khan. "Twisted moments of L-functions and spectral reciprocity." Duke Math. J. 168 (6) 1109 - 1177, 15 April 2019. https://doi.org/10.1215/00127094-2018-0060

Information

Received: 8 June 2017; Revised: 28 September 2018; Published: 15 April 2019
First available in Project Euclid: 15 March 2019

zbMATH: 07055222
MathSciNet: MR3934595
Digital Object Identifier: 10.1215/00127094-2018-0060

Subjects:
Primary: 11M41
Secondary: 11F72

Rights: Copyright © 2019 Duke University Press

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Vol.168 • No. 6 • 15 April 2019
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