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arXiv:2306.02641 (math)
[Submitted on 5 Jun 2023 ]

Title: On some conjectural series containing binomial coefficients and harmonic numbers

Title: 关于包含二项式系数和调和数的一些猜想级数

Authors:Chuanan Wei
Abstract: Binomial coefficients and harmonic numbers are important in many branches of number theory. With the help of the operator method and several summation and transformation formulas for hypergeometric series, we prove eight conjectural series of Z.-W. Sun containing binomial coefficients and harmonic numbers in this paper.
Abstract: 二项式系数和调和数在数论的许多分支中具有重要意义。本文利用算子方法以及超几何级数的一些求和与变换公式,证明了Z.-W. Sun提出的八个包含二项式系数和调和数的级数猜想。
Subjects: Combinatorics (math.CO)
Cite as: arXiv:2306.02641 [math.CO]
  (or arXiv:2306.02641v1 [math.CO] for this version)
  https://doi.org/10.48550/arXiv.2306.02641
arXiv-issued DOI via DataCite

Submission history

From: Chuanan Wei [view email]
[v1] Mon, 5 Jun 2023 07:23:40 UTC (7 KB)
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