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

Kunle Adegoke
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 17, 2011, Number 1, Pages 4—20
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Authors and affiliations

Kunle Adegoke
Department of Physics, Obafemi Awolowo University
Ile-Ife, Nigeria


Using clear and straightforward approaches, 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. An hitherto 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.


  • Integral quadratic form
  • Nonsingular quadratic form
  • Diagonalization quadratic form modulo prime

AMS Classification

  • 11Y60
  • 30B99


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Cite this paper

Adegoke, K. (2011). A novel approach to the discovery of ternary BBP-type formulas for polylogarithm constants, Notes on Number Theory and Discrete Mathematics, 17(1), 4-20.

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