The elementary symmetric functions of a reciprocal polynomial sequence

DOI10.1016/j.crma.2014.02.002zbMath1286.11170arXiv1402.3115OpenAlexW2963575494MaRDI QIDQ2449589

Chunlin Wang, Yuanyuan Luo, Guoyou Qian, Shao-Fang Hong

Publication date: 9 May 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3115

zbMATH Keywords

elementary symmetric functionreciprocal polynomial sequence

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Arithmetic functions; related numbers; inversion formulas (11A25) Polynomials (irreducibility, etc.) (11R09)

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

• On the elementary symmetric functions of $1, 1/2, \ldots , 1/n$
• Some properties of partial sums of the harmonic series

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