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arXiv:1005.5120 [math.NT]AbstractReferencesReviewsResources

Algebraic independence of periods and logarithms of Drinfeld modules (with an appendix by Brian Conrad)

Chieh-Yu Chang, Matthew A. Papanikolas

Published 2010-05-27, updated 2011-06-28Version 2

Let rho be a Drinfeld A-module with generic characteristic defined over an algebraic function field. We prove that all of the algebraic relations among periods, quasi-periods, and logarithms of algebraic points on rho are those coming from linear relations induced by endomorphisms of rho.

Comments: 26 pages, final version, added appendix by Brian Conrad
Journal: J. Amer. Math. Soc. 25 (2012), 123-150
Categories: math.NT
Subjects: 11J93, 11G09, 11J89
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