Central value of automorphic $L-$functions

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dc.creatorBaruch, Ehud Moshe
dc.creatorMao, Zhengyu
dc.date2003-01-11
dc.date.accessioned2026-07-07T04:54:24Z
dc.date.available2026-07-07T04:54:24Z
dc.descriptionWe prove a generalization to the totally real field case of the Waldspurger's formula relating the Fourier coefficient of a half integral weight form and the central value of the L-function of an integral weight form. Our proof is based on a new interpretation of Waldspurger's formula in terms of equality between global distributions. As applications we generalize the Kohnen-Zagier formula for holomorphic forms and prove the equivalence of the Ramanujan conjecture for half integral weight forms and a case of the Lindelof hypothesis for integral weight forms. We also study the Kohnen space in the adelic setting.
dc.identifierhttps://arxiv.org/abs/math/0301115
dc.identifierhttp://arxiv.org/abs/math/0301115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66238
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.subject11F70; 11F37; 11F67
dc.titleCentral value of automorphic $L-$functions
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