1 citations · 2 across the 8 of their papers we have counts for
8 papers
Evaluation of eight different families of cubic Euler sums
J. Braun, H. J. Bentz
We present a study on cubic Euler sums of degree four, five and six, where three different types of denominators , and will be considered We dem…
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…
On an infinite number of nonlinear Euler sums
J. Braun, D. Romberger, 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…
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…
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…
New series representations for zeta numbers using polylogarithmic identities in combination with a polynomial description of Bernoulli numbers
J. Braun, D. Romberger, H. J. Bentz
With this paper we introduce a new series representation of , which is based on the Clausen representation of odd integer zeta values. Although, relatively fast converging se…
Class invariants for certain non-holomorphic modular functions
Joschka J. Braun, Johannes J. Buck, Johannes Girsch
Inspired by prior work of Bruinier and Ono and Mertens and Rolen, we study class polynomials for non-holomorphic modular functions arising from modular forms of negative weight. In…
Fast converging series for zeta numbers in terms of polynomial representations of Bernoulli numbers
J. Braun, D. Romberger, H. J. Bentz
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 mathe…