On the distribution of torsion points modulo primes

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109259

Title:	On the distribution of torsion points modulo primes
Authors:	陳燕美;CHEN, YEN-MEI J.;KUAN, YEN-LIANG
Contributors:	理學院數學系
Date:	2012-10-01
Issue Date:	2026-04-23 16:19:10 (UTC+8)
Publisher:	Cambridge University Press;Cambridge, UK: Cambridge University Press
Abstract:	摘要： Let $\Bbb A$ be a commutative algebraic group defined over a number field K. For a prime ℘ in K where $\Bbb A$ has good reduction, let N℘,n be the number of n-torsion points of the reduction of $\Bbb A$ modulo ℘ where n is a positive integer. When $\Bbb A$ is of dimension one and n is relatively prime to a fixed finite set of primes depending on $\Bbb A_{/K}$, we determine the average values of N℘,n as the prime ℘ varies. This average value as a function of n always agrees with a divisor function. 其他題名： Bull. Aust. Math. Soc 出版者： Cambridge, UK: Cambridge University Press 出版日期： 2012-10 出處： Bulletin of the Australian Mathematical Society, 2012-10, Vol.86 (2), p.339-347 資源來源： Alma/SFX Local Collection 版權： Copyright © Australian Mathematical Publishing Association Inc. 2012 識別號： ISSN: 0004-9727 識別號： ISSN: 1755-1633 識別號： EISSN: 1755-1633 識別號： DOI: 10.1017/S0004972712000019
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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