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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/75869


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    題名: Enumeration problems for a linear congruence equation
    作者: Chou, Wun-Seng
    周文賢
    He, T.-X.
    Shiue, P.J.-S
    貢獻者: 應數系
    關鍵詞: Catalan number;Congruence;Generalized catalan number;Iinteger partition
    日期: 2014
    上傳時間: 2015-06-16 17:35:17 (UTC+8)
    摘要: Let m > 2 and r > 1 be integers and let c e Zm = {0,1,..., m - 1}. In this paper, we give an upper bound and a lower bound for the number of unordered solutions x1,..., xn e Zm of the congruence x1 + x2 +...+ xr = c mod m. Exact formulae are also given when m or r is prime. This solution number involves the Catalan number or generalized Catalan number in some special cases. Moreover, the enumeration problem has relationship with the restricted integer partition.
    關聯: Taiwanese Journal of Mathematics, 18(1), 265-275
    資料類型: article
    DOI 連結: http://dx.doi.org/10.11650/tjm.18.2014.2295
    DOI: 10.11650/tjm.18.2014.2295
    顯示於類別:[應用數學系] 期刊論文

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