On the reduction of a non-torsion point of a Drinfeld module

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Abstract

Let ρ be a Drinfeld Fq [T]-module defined over a global function field K. Let z ∈ K be a non-torsion point. We prove that for almost all monic elements n ∈ Fq [T] there exists a place ℘ of K such that n is the "order" of the reduction of z modulo ℘.

Original languageEnglish
Pages (from-to)1458-1484
Number of pages27
JournalJournal of Number Theory
Volume128
Issue number6
DOIs
Publication statusPublished - 2008 Jun 1

ASJC Scopus subject areas

  • Algebra and Number Theory

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