On the integrality of the first and second elementary symmetric functions of \(1,1/2^{s_2},\dots,1/n^{s_n}\)

DOI10.3934/Math.2017.4.682zbMath1428.11054OpenAlexW2771264946MaRDI QIDQ2335247

Yulu Feng, Wanxi Yang, Xiao Jiang, Mao Li

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2017.4.682

Mathematics Subject Classification ID

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

Related Items (3)

On the denseness of certain reciprocal power sums ⋮ On the \(p\)-adic properties of Stirling numbers of the first kind ⋮ Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers

Cites Work

• The elementary symmetric functions of reciprocals of elements of arithmetic progressions
• The elementary symmetric functions of a reciprocal polynomial sequence
• On the Integrality of the Elementary Symmetric Functions of 1, 1/3, . . . , 1/(2n − 1)
• On the elementary symmetric functions of $1, 1/2, \ldots , 1/n$
• Elementary Methods in Number Theory
• Some properties of partial sums of the harmonic series

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