pith. sign in

arxiv: 2103.06103 · v1 · pith:YPGBYZJ7new · submitted 2021-03-10 · 🧮 math.NT

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

J. Braun , D. Romberger , H. J. Bentz This is my paper
classification 🧮 math.NT
keywords eulersequencessumsallowcalculationalcomputeexplicitlyfamilies
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Evaluation of eight different families of cubic Euler sums

    math.NT 2026-05 unverdicted novelty 5.0

    All nonlinear cubic Euler sums in the eight families for degrees 4, 5, and 6 reduce to combinations of zeta functions and polylogarithms evaluated at 1/2, -1/2, and -1/8.