A novel approach to the discovery of binary BBP-type formulas for polylogarithm constants
type: Item
instance of: scholarly article
zbMATH Open document ID: 1264.11097
author: Kunle Adegoke
published in: Integers
publication date: 2012-07-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/1603.05810
full work available at URL: vol11.html
Mathematics Subject Classification ID: 11Y60
zbMATH DE Number: 6054412
zbMATH Keywords: BBP-type formulas
zbMATH Keywords: polylogarithm constants
MaRDI profile type: Publication
OpenAlex ID: W2964129925
arXiv ID: 1603.05810
DOI: 10.1515/INTEG.2011.105
title: A novel approach to the discovery of binary BBP-type formulas for polylogarithm constants
review text: BBP-type formulas are usually discovered experimentally through computer searches. Formal proofs are often developed after the formulas have been discovered and often involve the evaluation of complicated integrals. In this paper the author introduces a systematic symbolic method to discover BBP-type formulas without the usual computer-based searches. It leads to a wide range of interesting BBP-type formulas together with their proofs. They are obtained as natural consequences of polylogarithm identities, without the need of evaluating complicated integrals.
reviewed by: Tom M. Apostol
description: scientific article; zbMATH DE number 6054412