On the action of the $$U_ p$$U p o perator on the local (at p) re presentation attached to congruence level Siegel modular forms |
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| Authors: | Jim Brown Krzysztof Klosin |
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| Affiliation: | 1.Department of Mathematical Sciences,Clemson University,Clemson,USA;2.Department of Mathematics,Queens College, City University of New York,Flushing,USA |
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| Abstract: | In this article, we study the action of the (U_p) Hecke operator on the normalized spherical vector (phi ) in the representation of ({{mathrm{GSp}}}_4(mathbf {Q}_p)) induced from a character on the Borel subgroup. We compute the Petersson norm of (U_p phi ) in terms of certain local L-values associated with (phi ). |
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