Harmonic-number summation identities, symmetric functions, and multiple zeta values

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• 作者：Michael E. Hoffman
• 关键词：Generalized harmonic numbers ; Multiple zeta values ; Symmetric functions ; Quasi ; symmetric functions
• 刊名：The Ramanujan Journal
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：42
• 期：2
• 页码：501-526
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Number Theory; Field Theory and Polynomials; Combinatorics; Fourier Analysis; Functions of a Complex Variable;
• 出版者：Springer US
• ISSN：1572-9303
• 卷排序：42

文摘

We show how infinite series of a certain type involving generalized harmonic numbers can be computed using a knowledge of symmetric functions and multiple zeta values. In particular, we prove and generalize some identities recently conjectured by Choi, and give several more families of identities of a similar nature.