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^*

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

5 引文斯高帕斯（Scopus）

摘要

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 ℘.

原文	英語
頁（從 - 到）	1458-1484
頁數	27
期刊	Journal of Number Theory
卷	128
發行號	6
DOIs	https://doi.org/10.1016/j.jnt.2007.12.003
出版狀態	已發佈 - 2008 6月
對外發佈	是

ASJC Scopus subject areas

代數與數理論

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10.1016/j.jnt.2007.12.003

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引用此

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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 ℘.",

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

摘要

ASJC Scopus subject areas

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