BBP-type formulas — An elementary approach

Simon Kristensen*, Oskar Mathiasen

*Corresponding author af dette arbejde

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Abstract

We provide a simple way of searching for formulas of the Bailey–Borwein–Plouffe type together with an algorithm and an implementation in sage. Aside from rediscovering some already known formulas, the method has been used in the discovery of a new BBP-type formula for 3π. In addition, the implementation is very flexible and allows us to look for BBP-type formulas to irrational bases. As an example of this, searching in various Pisot bases, we have discovered a formula for π in base 1+3, along with additional formulas.

OriginalsprogEngelsk
TidsskriftJournal of Number Theory
Vol/bind244
Sider (fra-til)251-263
Antal sider13
ISSN0022-314X
DOI
StatusUdgivet - mar. 2023

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