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pro vyhledávání: '"Bentz, H. J."'
Autor:
Braun, J., Bentz, H. J.
Linear harmonic number sums had been studied by a variety of authors during the last centuries, but only few results are known about nonlinear Euler sums of quadratic or even higher degree. The first systematic study on nonlinear Euler sums consistin
Externí odkaz:
http://arxiv.org/abs/2412.00025
Linear harmonic number sums had been studied by a variety of authors during the last centuries, but only few results are known about nonlinear Euler sums of quadratic or even higher degree. The first systematic study on nonlinear Euler sums consistin
Externí odkaz:
http://arxiv.org/abs/2207.03250
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.
Externí odkaz:
http://arxiv.org/abs/2103.06103
We present several sequences involving harmonic numbers and the central binomial coefficients. The calculational technique is consists of a special summation method that allows, based on proper two-valued integer functions, to calculate different fam
Externí odkaz:
http://arxiv.org/abs/2006.13115
With this paper we introduce a new series representation of $\zeta(3)$, which is based on the Clausen representation of odd integer zeta values. Although, relatively fast converging series based on the Clausen representation exist for $\zeta(3)$, the
Externí odkaz:
http://arxiv.org/abs/1609.03036
In this work we introduce a new polynomial representation of the Bernoulli numbers in terms of polynomial sums allowing on the one hand a more detailed understanding of their mathematical structure and on the other hand provides a computation of $B_{
Externí odkaz:
http://arxiv.org/abs/1503.04636
Autor:
Bentz, H. -J., Pintz, J.
Publikováno v:
Monatshefte für Mathematik; June 1980, Vol. 90 Issue: 2 p91-100, 10p
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