2021arXiv (Cornell University)Open access

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

Jaroslav Braun, D. Romberger, H. Bentz

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Abstract

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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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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Available abstract

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.

Key concepts: Harmonic number, Euler's formula, Type (biology), Mathematics, Integer (computer science), Euler number (physics), Harmonic, Sequence (biology)

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