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math.NT2024
On an infinite number of nonlinear Euler sums
J. Braun, H. J. Bentz
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 highe…
math.NT2021
On an infinite number of new families of odd-type Euler sums
J. Braun, D. Romberger, H. J. Bentz
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…
math.NT2020★ 1 cited
On four families of power series involving harmonic numbers and central binomial coefficients
J. Braun, D. Romberger, H. J. Bentz
We present several sequences involving harmonic numbers and the central binomial coefficients. The calculational technique is consists of a special summation method that allows, ba…