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New properties of multiple harmonic sums modulo $p$ and $p$-analogues of Leshchiner's series
Congruence finite central binomial sum multiple harmonic sum Bernoulli number
2012/6/15
In this paper we present some new identities of hypergeometric type for multiple harmonic sums whose indices are the sequences $(\{1\}^a,c,\{1\}^b),$ $(\{2\}^a,c,\{2\}^b)$ and prove a number of congru...
Note on harmonic sums and alternating Euler sums
Harmonic sums Alternating Euler sums Multiple zeta values
2011/2/25
The explicit formulas expressing harmonic sums via alternating Euler sums (colored multiple zeta values) are given, and some explicit evaluations are given as applications.
A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics
Computer Algebra Harmonic Sums Related Particle Physics
2010/11/11
In this work we present the computer algebra package HarmonicSums and its theoretical background for the manipulation of harmonic sums and some related quantities as for example Euler-Zagier sums and...