# [1]胡宏.涉及Fibonacci序列的Dedekind和[J].东南大学学报(自然科学版),2004,34(6):869-871.[doi:10.3969/j.issn.1001-0505.2004.06.034] 　Hu Hong.On Dedekind sums involving Fibonacci numbers[J].Journal of Southeast University (Natural Science Edition),2004,34(6):869-871.[doi:10.3969/j.issn.1001-0505.2004.06.034] 点击复制 涉及Fibonacci序列的Dedekind和() 分享到： var jiathis_config = { data_track_clickback: true };

34

2004年第6期

869-871

2004-11-20

## 文章信息/Info

Title:
On Dedekind sums involving Fibonacci numbers

Author(s):
Hu Hong
Department of Mathematics, Huaiyin Teachers College, Huaian 223001, China

Keywords:

O156.1
DOI:
10.3969/j.issn.1001-0505.2004.06.034

{Fn}为Fibonacci数,n为自然数.根据Dedekind和的定义及其相关性质,研究了涉及Fibonacci序列的Dedekind和,估计了和式∑mn=1S((Fkn)/(Fk),(Fk(n+1))/(Fk)),其中m为正整数,k为非负奇数,本文的主要结论推广了张文鹏(Fibonacci Quart, 2000, 40(2): 223-226)的一个结果.
Abstract:
Let {Fn} be the Fibonacci numbers, and let n be natural numbers. According to the definition and characteristics of Dedekind sums, Dedekind sums involving Fibonacci numbers is studied. The sum ∑mn=1S((Fkn)/(Fk),(Fk(n+1))/(Fk))is estimated, here m is a positive interger, and k is a nonnegative odd number. The conclusion extends a result from W.P.Zhang(Fibonacci Quart, 2000, 40(2):223-226).

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