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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.
Logarithmic Integrals, Polylogarithmic Integrals and Euler sums
Logarithmic Integrals Polylogarithmic Integrals Euler sums
2010/11/9
Relations among integrals of logarithms, polylogarithms and Euler sums are presented. A unifying element being the introduction of Nielsen's generalized polylogarithms.