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

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

2008-10-26

arxiv.org/abs/0810.4726v2

Mathematics

Number Theory

57 pages, minor changes made to version 1. The final version of this article will be published in the Duke Mathematical Journa

Scientific paper

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.

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