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 (with Brooke Feigon)

Abstract: We use the relative trace formula to obtain exact formulae 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 formulae 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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