English

A novel approach to the discovery of ternary BBP-type formulas for polylogarithm constants

Number Theory 2016-03-17 v1

Abstract

Using a clear and straightforward approach, we prove new ternary (base 3) digit extraction BBP-type formulas for polylogarithm constants. Some known results are also rediscovered in a more direct and elegant manner. A previously unproved degree~4 ternary formula is also proved. Finally, a couple of ternary zero relations are established, which prove two known but hitherto unproved formulas.

Keywords

Cite

@article{arxiv.1603.04974,
  title  = {A novel approach to the discovery of ternary BBP-type formulas for polylogarithm constants},
  author = {Kunle Adegoke},
  journal= {arXiv preprint arXiv:1603.04974},
  year   = {2016}
}