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Derivative of the standard $p$-adic $L$-function associated with a Siegel form

dc.creatorRosso, Giovanni
dc.date.accessioned2016-11-28
dc.date.accessioned2018-11-24T23:27:07Z
dc.date.available2017-04-13T09:07:45Z
dc.date.available2018-11-24T23:27:07Z
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/263658
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3951
dc.description.abstractIn this paper we construct a two variables p-adic L-function for the standard representation associated with a Hida family of parallel weight genus g Siegel forms, using a method previously developed by B\"ocherer--Schmidt in one variable. When a form of weight g+1 is Steinberg at p, a trivial zero appears and, using the method of Greenberg--Stevens, we calculate the first derivative of this p-adic L-function and show that it has the form predicted by a conjecture of Greenberg on trivial zeros.
dc.languageen
dc.publisherAmerican Mathematical Society
dc.publisherTransactions of the American Mathematical Society
dc.titleDerivative of the standard $p$-adic $L$-function associated with a Siegel form
dc.typeArticle


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