On the Lucas Base and Computation of Counting Function Mean Value

被引：0
|
作者：
LI Hai-long
2.College of Mathematics and Information Science
机构：
来源：
数学季刊 | 2004年 / 01期
关键词：
Lucas sequence; Fibonacci sequence; mean value; counting fuction;
D O I：
暂无
中图分类号：
O156.4 [解析数论];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new counting function a(m) related to the Lucas number, then use conjecture and induction methods to give an exact formula Ar(N)=α(n), (r=1,2,3) and prove them.
引用
收藏
页码：84 / 89
页数：6
相关论文
共 50 条
  • [41] The mean square of the divisor function
    Jia, Chaohua
    Sankaranarayanan, Ayyadurai
    ACTA ARITHMETICA, 2014, 164 (02) : 181 - 208
  • [42] A MEAN VALUE FUNCTION AND ITS COMPUTATIONAL FORMULA RELATED TO D. H. LEHMER'S PROBLEM
    Wang, Tingting
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (02) : 487 - 494
  • [43] On the Mean Value of the Infinite Order Legendre Series
    王安斌
    数学季刊, 1996, (04) : 6 - 12
  • [44] A note on the mean value of the general Kloosterman sums
    Weili Yao
    Czechoslovak Mathematical Journal, 2011, 61 : 889 - 900
  • [45] A mean value algorithm for Toeplitz matrix completion
    Wang, Chuan-Long
    Li, Chao
    APPLIED MATHEMATICS LETTERS, 2015, 41 : 35 - 40
  • [46] On the mean value of the square of a generalized Dedekind sum
    Min, X
    Wenpeng, Z
    RAMANUJAN JOURNAL, 2001, 5 (03) : 227 - 236
  • [47] Mean value of Ramanujan sum and Cochrane sums
    Wang, Xiao
    Wang, Jiankang
    Xu, Zhefeng
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2024, 67 (03): : 355 - 373
  • [48] On the Mean Value of the Square of a Generalized Dedekind Sum
    Xie Min
    Zhang Wenpeng
    The Ramanujan Journal, 2001, 5 : 227 - 236
  • [49] On the mean value of character sums in short intervals
    Gao, Jing
    Liu, Huaning
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (01) : 65 - 72
  • [50] A note on the mean value of the general Kloosterman sums
    Yao, Weili
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (04) : 889 - 900
12345