涉及二项式系数的新级数 (III)

收稿日期:2025-07-20 出版日期:2025-12-30 发布日期:2025-12-30
作者简介:SUN Zhi-wei (1965-), male, native of Lianshui, Jiangsu, professor of Nanjing University, Ph.D supervisor, engages in number theory and combinatorics.
基金资助:
Supported by the National Natural Science Foundation of China (Grant No. 12371004).

Received:2025-07-20 Online:2025-12-30 Published:2025-12-30
About author:SUN Zhi-wei (1965-), male, native of Lianshui, Jiangsu, professor of Nanjing University, Ph.D supervisor, engages in number theory and combinatorics.
Supported by:
Supported by the National Natural Science Foundation of China (Grant No. 12371004).

摘要：

We evaluate some series with summands involving a single binomial coefficien……

关键词: Binomial coefficient, Combinatorial identity, Infinite series, Kronecker symbol, L-function

Abstract: We evaluate some series with summands involving a single binomial coefficien……

Key words: Binomial coefficient, Combinatorial identity, Infinite series, Kronecker , symbol, L-function

中图分类号:

孙智伟. 涉及二项式系数的新级数 (III)[J]. 数学季刊, 2025, 40(4): 372-392.

SUN Zhi-wei. New Series Involving Binomial Coefficients (III)[J]. Chinese Quarterly Journal of Mathematics, 2025, 40(4): 372-392.

[1]	薛琳, 张之正. 带有二项式系数的广义Fibonacci和Lucas数一个结果的拓广[J]. 数学季刊, 2020, 35(1): 56-62.
[2]	宋海涛. 两类关于二项式系数倒数的级数[J]. 数学季刊, 2011, 26(2): 306-310.
[3]	徐哲锋. 关于Smarandache可乘列及其推广[J]. 数学季刊, 2006, 21(1): 1-3.

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