dc.creator | Rosso, Giovanni | |
dc.date.accessioned | 2016-11-28 | |
dc.date.accessioned | 2018-11-24T23:27:07Z | |
dc.date.available | 2017-04-13T09:07:45Z | |
dc.date.available | 2018-11-24T23:27:07Z | |
dc.identifier | https://www.repository.cam.ac.uk/handle/1810/263658 | |
dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3951 | |
dc.description.abstract | In 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.language | en | |
dc.publisher | American Mathematical Society | |
dc.publisher | Transactions of the American Mathematical Society | |
dc.title | Derivative of the standard $p$-adic $L$-function associated with a Siegel form | |
dc.type | Article | |