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Algebraic independence of Drinfeld exponential values

Posted on:2004-05-21Degree:Ph.DType:Dissertation
University:University of Colorado at BoulderCandidate:Becker, MarkFull Text:PDF
GTID:1460390011962280Subject:Mathematics
Abstract/Summary:
This paper examines the algebraic independence of the coordinate points that lie on a one parameter subgroup of a product of non-isogenous Drinfeld modules.; We show that when sufficiently many points are taken, where sufficiently many is determined by the number of Drinfeld modules, the rank, and the rank of the common periods of their exponential functions, at least two coordinates must be algebraically independent.
Keywords/Search Tags:Drinfeld
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