Averages of central L-values of Hilbert modular forms with an application to subconvexity

Feigon, Brooke and Whitehouse, David (2009) Averages of central L-values of Hilbert modular forms with an application to subconvexity. Duke Mathematical Journal, 149 (2). pp. 347-410. ISSN 0012-7094

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Abstract

We use the relative trace formula to obtain exact formulas for central values of certain twisted quadratic base change L-functions averaged over Hilbert modular forms of a fixed weight and level. We apply these formulas to the subconvexity problem for these L-functions. We also establish an equidistribution result for the Hecke eigenvalues weighted by these L-values

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024) Faculty of Science > School of Chemical Sciences and Pharmacy (former - to 2009) Faculty of Science > School of Chemistry (former - to 2024)
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:52
Last Modified:	26 Oct 2025 23:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/18579
DOI:	10.1215/00127094-2009-041

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