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
Riemann zeta function\(p\)-adic valuationBertrand's postulateintegralitymultiple reciprocal star summultiple reciprocal sum
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)
Cites Work
- Unnamed Item
- Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\)
- The elementary symmetric functions of reciprocals of elements of arithmetic progressions
- 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
- Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values
- 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
This page was built for publication: Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers
