Periods of orbits modulo primes

JOURNAL OF NUMBER THEORY

卷:129

Article

Akbary, Amir¹  Ghioca, Dragos¹ 

[1] Univ Lethbridge, Dept Math & Comp Sci, Lethbridge, AB T1K 3M4, Canada

关键词: Artin's conjecture;    Algebraic dynamics;    Drinfeld modules;   

DOI  :  10.1016/j.jnt.2009.03.007

来源: Elsevier

【 摘 要 】

Let S be a monoid of endomorphisms of a quasiprojective variety V defined over a global field K We prove a lower bound for the size of the reduction modulo places of K of the orbit of any point alpha is an element of V(K) under the action of the endomorphisms from S We also prove a similar result in the context of Drinfeld modules Our results may be considered as dynamical variants of Artin's primitive root conjecture (C) 2009 Elsevier Inc All rights reserved

【 授权许可】

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