正特徵值的質數分佈問題;The Prime Distribution in Characteristic P

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/63146

Title:	正特徵值的質數分佈問題;The Prime Distribution in Characteristic P
Authors:	陳燕美
Contributors:	國立中央大學數學系
Keywords:	數學
Date:	2012-12-01
Issue Date:	2014-03-17 14:20:08 (UTC+8)
Publisher:	行政院國家科學委員會
Abstract:	研究期間：10108~10207;Let K be a global function field with positive characteristic and let A be a commutative algebraic group defined over K. Fixing a positive integer n, we are interested in the distribution of n-torsion points of A modulo primes in K. For a prime p in K where A has good reduction, let N(p) be the number of n-torsion points of the reduction of A modulo p. For any positive number x, denote by M(x) to be the set of primes in K having norm less than or equal to x. We would like to compute the limit, as x goes to infinity, lim ΣN(p)/#M(x), where the sum runs through primes p in M(x).
Relation:	財團法人國家實驗研究院科技政策研究與資訊中心
Appears in Collections:	[Department of Mathematics] Research Project

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