Harmonic Numbers of Any Order and the Wolstenholme’s-Type Relations for Harmonic Numbers

DOI10.1007/978-3-319-45474-0_4zbMath1426.11010OpenAlexW2512488721MaRDI QIDQ5236969

Edyta Hetmaniok, Roman Wituła, Mariusz Pleszczyński, Michał Różański, Piotr Lorenc, Marcin Szweda

Publication date: 16 October 2019

Published in: Lecture Notes in Electrical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-45474-0_4

zbMATH Keywords

harmonic numbersWeyl integralWolstenholme relations

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Other combinatorial number theory (11B75)

Cites Work

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• Some generalizations of Gregory's power series and their applications
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• A new method in the study of Euler sums
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• Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series I
• Extensions of Euler harmonic sums
• An Elementary Problem Equivalent to the Riemann Hypothesis
• Polynomials related to harmonic numbers and evaluation of harmonic number series II
• THIRTY-TWO GOLDBACH VARIATIONS
• SHIFTED HARMONIC SUMS OF ORDER TWO

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