Central L-Values and Toric Periods for GL(2) |
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| Authors: | Martin Kimball; Whitehouse David |
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| Institution: | 1 Columbia University, Department of Mathematics, 2990 Broadway, Mailcode 4406, New York, NY 10027, USA
2 School of Mathematics, Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA |
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| Abstract: | Let  be a cusp form on GL(2) over a number field F and let Ebe a quadratic extension of F. Denote by E the base change of to E and by  a unitary character of AxE/ Ex. We use the relativetrace formula to give an explicit formula for L(1/2, E  ) interms of period integrals of Gross–Prasad test vectors.We give an application of this formula to equidistribution ofgeodesics on a hyperbolic 3-fold. |
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