Kunle Adegoke

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 17, 2011, Number 1, Pages 4—20

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## Details

### Authors and affiliations

Kunle Adegoke

*Department of Physics, Obafemi Awolowo University
Ile-Ife, Nigeria
*

### Abstract

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.

### Keywords

- Integral quadratic form
- Nonsingular quadratic form
- Diagonalization quadratic form modulo prime

### AMS Classification

- 11Y60
- 30B99

### References

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## Cite this paper

APAAdegoke, 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.

ChicagoAdegoke, Kunle. “A Novel Approach to the Discovery of Ternary BBP-type Formulas for Polylogarithm Constants.” Notes on Number Theory and Discrete Mathematics 17, no. 1 (2011): 4-20.

MLAAdegoke, Kunle. “A Novel Approach to the Discovery of Ternary BBP-type Formulas for Polylogarithm Constants.” Notes on Number Theory and Discrete Mathematics 17.1 (2011): 4-20. Print.