2010arXiv (Cornell University)Open access

On harmonic sums and alternating Euler sums

Zhonghua Li

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Abstract

The explicit formulas expressing harmonic sums via alternating Euler sums (colored multiple zeta values) are given, and some explicit evaluations are given as applications.

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The explicit formulas expressing harmonic sums via alternating Euler sums (colored multiple zeta values) are given, and some explicit evaluations are given as applications.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The explicit formulas expressing harmonic sums via alternating Euler sums (colored multiple zeta values) are given, and some explicit evaluations are given as applications.

Key concepts: Euler's formula, Harmonic number, Harmonic, Mathematics, Pure mathematics, Mathematical analysis, Physics, Riemann zeta function

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