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On an infinite number of new families of odd-type Euler sums

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arxiv 2103.06103 v1 pith:YPGBYZJ7 submitted 2021-03-10 math.NT

J. Braun , D. Romberger , H. J. Bentz This is my paper · ORCID
classification math.NT
keywords eulersequencessumsallowcalculationalcomputeexplicitlyfamilies
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We present several sequences of Euler sums involving odd harmonic numbers. The calculational technique is based on proper two-valued integer functions, which allow to compute these sequences explicitly in terms of zeta values only.

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  1. On an infinite number of nonlinear Euler sums

    math.NT 2024-11 reject novelty 5.0 of 10

    Eight families of quadratic Euler sums of odd order are reduced to zeta values and polylogarithms, but order-7 reductions remain incomplete for two unresolved nonlinear sums.

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