On an infinite number of new families of odd-type Euler sums
Jaroslav Braun, D. Romberger, H. Bentz
Abstract
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Jaroslav Braun, D. Romberger, H. Bentz
Abstract
Open-access reader
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.
Key concepts: Harmonic number, Euler's formula, Type (biology), Mathematics, Integer (computer science), Euler number (physics), Harmonic, Sequence (biology)