数学杂志2025，Vol.45Issue(5)：417-424,8.
涉及双周期Fibonacci数列和Lucas数列的Dedekind和
THE DEDEKIND SUMS INVOLVING BI-PERIODIC FIBONACCI AND LUCAS SEQUENCES
摘要
Abstract
This paper investigates the estimation problem of Dedekind sums involving the bi-periodic Fibonacci { fn} and Lucas {ln } sequence.By utilizing the analytic properties of the Dedekind sum S(h,k),and the recurrence relations of bi-periodic Fibonacci {fn} and Lucas {ln}sequence,we derive asymptotic estimates for the sums ∑mn=1(S(f2n,f2n+1)+S(f2n+1,f2n+2))and∑mn=1(S(l2n,l2n+1)+S(l2n+1,l2n+2)).This work extends the study of Dedekind sums from linear recurrence sequences to the nonlinear recurrence sequences.关键词
双周期Fibonacci数列/双周期Lucas数列/Dedekind和Key words
Bi-periodic Fibonacci sequence/Bi-periodic Lucas sequence/Dedekind sums分类
数理科学引用本文复制引用
杜婷婷,刘小格..涉及双周期Fibonacci数列和Lucas数列的Dedekind和[J].数学杂志,2025,45(5):417-424,8.基金项目
国家自然科学基金项目资助(12126357). （12126357）
