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arXiv · 0810.4726

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

Brooke Feigon·David Whitehouse
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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.

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Brooke Feigon, David Whitehouse. 2008-10-26. Averages of central L-values of Hilbert modular forms with an application to subconvexity. https://doi.org/10.1215/00127094-2009-041

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