On the Integrality of the Elementary Symmetric Functions of 1, 1/3, . . . , 1/(2n − 1)

DOI10.1515/ms-2015-0064zbMath1363.11041arXiv1112.0853OpenAlexW2963221964MaRDI QIDQ3465432

Chunlin Wang, Shao-Fang Hong

Publication date: 21 January 2016

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0853

zbMATH Keywords

harmonic serieselementary symmetric function

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Special sequences and polynomials (11B83)

Related Items (7)

On the denseness of certain reciprocal power sums ⋮ On the \(p\)-adic properties of Stirling numbers of the first kind ⋮ Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers ⋮ Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers ⋮ 2-Adic valuations of Stirling numbers of the first kind ⋮ On the integrality of the first and second elementary symmetric functions of \(1,1/2^{s_2},\dots,1/n^{s_n}\) ⋮ A GENERALISATION OF A THEOREM OF ERDŐS AND NIVEN

Cites Work

• Some properties of partial sums of the harmonic series

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