Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers

DOI10.1016/j.jnt.2018.06.005zbMath1458.11135arXiv1703.07263OpenAlexW2962873351MaRDI QIDQ1800479

Qiuyu Yin, Min Qiu, Shao-Fang Hong, Li-Ping Yang

Publication date: 24 October 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07263

zbMATH Keywords

Riemann zeta function\(p\)-adic valuationBertrand's postulateintegralitymultiple reciprocal star summultiple reciprocal sum

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Distribution of primes (11N05) Multiple Dirichlet series and zeta functions and multizeta values (11M32) Values of arithmetic functions; tables (11Y70)

Related Items (1)

On the denseness of certain reciprocal power sums

Cites Work

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• On the Integrality of the Elementary Symmetric Functions of 1, 1/3, . . . , 1/(2n − 1)
• On the elementary symmetric functions of $1, 1/2, \ldots , 1/n$
• Analytic continuation of multiple zeta functions
• Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers
• Some properties of partial sums of the harmonic series

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