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Some summation formulas involving harmonic numbers and gener- alised harmonic numbers

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General formulas for a class of Euler sums

math.NT · 2026-04-01 · unverdicted · novelty 6.0

An algorithm is given to find closed forms for sums of rational functions times harmonic numbers in terms of polygamma functions, reducing general cases to partial fractions.

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  • General formulas for a class of Euler sums math.NT · 2026-04-01 · unverdicted · none · ref 10

    An algorithm is given to find closed forms for sums of rational functions times harmonic numbers in terms of polygamma functions, reducing general cases to partial fractions.