頁籤選單縮合
題 名 | On the Triplet-Divisions of the Set {1,2,3,...,p-2} |
---|---|
作 者 | 林其隆; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 2:3 1998.09[民87.09] |
頁 次 | 頁303-312 |
分類號 | 310 |
關鍵詞 | Prime; Doublet-division; Triplet-division; Iterated maps; |
語 文 | 英文(English) |
英文摘要 | In this paper, we give a mumber theoretical application of a simple discrete map. For any prime p≧5, we show that the numbers in the set G(1,p-2)={1,2,3,...,p-2} can be divided into disjoint triplets <a,b,c>, such that a.b.c≡1 (mod p). This is a generalization of the well known doublet-division, that is, the numbers in the set {1,2,3,...,p-1} can be divided into disjoint pairs <a, a��>, such that a.a��≡1 (mod p). The reason that we can perform the triplet-division is because there exists a simple map F defined on the set G(1,p-2) such that any number a�eG (1, p-2) is a period-3 point of the map. Furthermore, the triplet <a, F(a), F��(a)> has the property that a.F(a).F��(a)≡1 (mod p). |
本系統中英文摘要資訊取自各篇刊載內容。