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Multiple harmonic sums and multiple harmonic star sums are (nearly) never integers

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Publication:5384142
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zbMath1412.11063arXiv1606.05722MaRDI QIDQ5384142

Roberto Tauraso, Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood

Publication date: 21 June 2019

Full work available at URL: https://arxiv.org/abs/1606.05722


zbMATH Keywords

multiple harmonic sums


Mathematics Subject Classification ID

Rational numbers as sums of fractions (11D68)


Related Items (4)

On a model of ordering random variables – the (i,k)-th record values ⋮ Global series for height 1 multiple zeta functions ⋮ Multiple zeta functions and polylogarithms over global function fields ⋮ Multiple reciprocal sums and multiple reciprocal star sums of polynomials are almost never integers




Cites Work

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  • 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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