Zeta Functions from Multiple Summations

We demonstrate the calculation of a number of triple summations, originating from a combinatorics equation. The summations produce Harmonic numbers, and Zeta and Hurwitz zeta functions, as well as prove the equation.

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Publication Details

Journal
ACM communications in computer algebra
Published
2025-03-01
DOI
https://doi.org/10.1145/3749890.3749892
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
0.00
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article

Zeta Functions from Multiple Summations

Aaron E. Naiman
ACM communications in computer algebra
Advanced Mathematical Identities
article

Zeta Functions from Multiple Summations

Aaron E. Naiman
article en

Abstract

We demonstrate the calculation of a number of triple summations, originating from a combinatorics equation. The summations produce Harmonic numbers, and Zeta and Hurwitz zeta functions, as well as prove the equation.

ACM communications in computer algebraVol. 59(1)
Jerusalem College of Technology (IL)
Openalex Percentile: Top 75%
Advanced Mathematical Identities
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Zeta Functions from Multiple Summations — Aaron E. Naiman · ACM communications in computer algebra (2025) | TGRS Research Map | TGRS