K1 of products of Drinfeld Modular Curves and Special Values of L-functions

dc.creatorConsani, Caterina
dc.creatorSreekantan, Ramesh
dc.date2003-03-11
dc.date.accessioned2026-07-07T04:55:56Z
dc.date.available2026-07-07T04:55:56Z
dc.descriptionLet $X_0(I)$ be the Drinfeld's modular curve with level $I$ structure, where $I$ is a monic square-free ideal in $\F_{q}[T]$. In this paper we show the existence of an element in the motivic cohomology group $H^3_{\M}(X_0(I) \times X_0(I),\Q(2))$ whose regulator is related to a special value of a Ranking-Selberg convolution $L$-function. This result is the function field analogue of a theorem of Beilinson for the self product of a modular curve.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0303130
dc.identifierhttp://arxiv.org/abs/math/0303130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66757
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11F52,11G49
dc.titleK1 of products of Drinfeld Modular Curves and Special Values of L-functions
dc.typetext

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