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

preprint2016arXivOpen access

Abstract

Using a clear and straightforward approach, we discover and prove new binary digit extraction BBP-type formulas for polylogarithm constants. Some known results are also rediscovered in a more direct and elegant manner. Numerous experimentally discovered and previously unproved binary BBP-type formulas are also proved.

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