On the denseness of certain reciprocal power sums

DOI10.3934/math.2019.3.412zbMath1484.11027OpenAlexW2941848479MaRDI QIDQ2127750

Xiao Jiang, Shao-Fang Hong

Publication date: 21 April 2022

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

Full work available at URL: https://doi.org/10.3934/math.2019.3.412

zbMATH Keywords

convergenceinfinite seriesdensenessreciprocal power sum

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

• The elementary symmetric functions of reciprocals of elements of arithmetic progressions
• Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers
• On the integrality of the first and second elementary symmetric functions of \(1,1/2^{s_2},\dots,1/n^{s_n}\)
• 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 $1, 1/2, \ldots , 1/n$
• Some properties of partial sums of the harmonic series
• A generalization of a theorem of Nagell

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