The elementary symmetric functions of reciprocals of elements of arithmetic progressions

zbMath1320.11008arXiv1311.1389MaRDI QIDQ485032

Chunlin Wang, Shao-Fang Hong

Publication date: 8 January 2015

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1389

zbMATH Keywords

harmonic seriesarithmetic progression\(p\)-adic valuationelementary symmetric function

Mathematics Subject Classification ID

Primes in congruence classes (11N13) Arithmetic progressions (11B25)

Related Items (8)

On the denseness of certain reciprocal power sums ⋮ On the \(p\)-adic valuation of Stirling numbers of the first kind ⋮ 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

This page was built for publication: The elementary symmetric functions of reciprocals of elements of arithmetic progressions