A simple recursive representation of the Faulhaber series

Fuente: arXiv
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Autore principale: Pfeifer, Dietmar
Natura: Preprint
Pubblicazione: 2025
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author Pfeifer, Dietmar
author_facet Pfeifer, Dietmar
contents We present a simple elementary recursive representation of the so called Faulhaber series $\sum_{k=1}^n k^N$ for integer $n$ and $N$, without reference to Bernoulli numbers or polynomials.
format Preprint
id arxiv_https___arxiv_org_abs_2501_13548
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A simple recursive representation of the Faulhaber series
Pfeifer, Dietmar
History and Overview
01A45, 11B37, 11B65, 11B68, 11B83
We present a simple elementary recursive representation of the so called Faulhaber series $\sum_{k=1}^n k^N$ for integer $n$ and $N$, without reference to Bernoulli numbers or polynomials.
title A simple recursive representation of the Faulhaber series
topic History and Overview
01A45, 11B37, 11B65, 11B68, 11B83
url https://arxiv.org/abs/2501.13548