Central L-values and toric periods for GL(2) (with Kimball Martin)
Abstract:
Let p be a cusp form on GL(2) over a number field F and let E be a quadratic extension
of F. Denote by pE the base change of p to E and by
W a unitary character of AEx/Ex. We use
the relative trace formula to give an explicit formula for L(1/2, pE x
W) in terms of period integrals of Gross-Prasad test vectors. We give an application of this
formula to equidistribution of geodesics on a hyperbolic 3-fold.
Files: [.dvi] [.pdf] [.ps]
The old version of the paper which dealt only with base change L-functions can be found here: [.dvi]
[.pdf] [.ps]