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    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:[數學系] 研究計畫

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