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Averages of central $L$-values of Hilbert modular forms with an application to subconvexity
Brooke Feigon and David Whitehouse
Source: Duke Math. J. Volume 149, Number 2 (2009), 347-410.
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
Primary Subjects: 11M41
Secondary Subjects: 11F72, 11F67
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1248182809
Digital Object Identifier: doi:10.1215/00127094-2009-041
Zentralblatt MATH identifier:
05598219
Mathematical Reviews number (MathSciNet):
MR2541706
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