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

Liang Chung Hsia

doi:10.1016/j.jnt.2007.12.003

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

Liang Chung Hsia^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Let ρ be a Drinfeld F_q [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 ∈ F_q [T] there exists a place ℘ of K such that n is the "order" of the reduction of z modulo ℘.

Original language	English
Pages (from-to)	1458-1484
Number of pages	27
Journal	Journal of Number Theory
Volume	128
Issue number	6
DOIs	https://doi.org/10.1016/j.jnt.2007.12.003
Publication status	Published - 2008 Jun
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jnt.2007.12.003

Cite this

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title = "On the reduction of a non-torsion point of a Drinfeld module",

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 ℘.",

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year = "2008",

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language = "English",

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AU - Hsia, Liang Chung

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N2 - 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 ℘.

AB - 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 ℘.

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UR - https://www.scopus.com/pages/publications/43049136153#tab=citedBy

U2 - 10.1016/j.jnt.2007.12.003

DO - 10.1016/j.jnt.2007.12.003

M3 - Article

AN - SCOPUS:43049136153

SN - 0022-314X

VL - 128

SP - 1458

EP - 1484

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 6

ER -

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

Abstract

ASJC Scopus subject areas

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