Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part II, section 4, pages 239-253

Drinfeld modules and local fields of positive characteristic

E.-U. Gekeler

Abstract. This work is a survey of relations between Drinfeld modules and higher dimensional fields of positive characteristic. The main new result stated is the expression of vanishing orders of certain modular forms through partial zeta values.
Keywords. Drinfeld modules, modular forms.
AMS subject classification. 11G09, 11F52.

E-print: arXiv:math.NT/0012154

Ernst-Ulrich Gekeler
FR 6.1 Mathematik, Universitaet des Saarlandes , Postfach 15 11 50 , D-66041 Saarbruecken, Germany
Email: gekeler@math.uni-sb.de

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