A novel approach to the discovery of binary BBP-type formulas for polylogarithm constants
Kunle Adegoke
TL;DR
This paper introduces a new, straightforward method for discovering and proving binary BBP-type formulas for polylogarithm constants, improving upon previous approaches and uncovering new formulas.
Contribution
The paper presents a novel, simple approach to find and prove binary BBP-type formulas for polylogarithm constants, including new formulas previously unproved.
Findings
Discovered new binary BBP-type formulas for polylogarithm constants.
Provided direct and elegant proofs for known and new formulas.
Validated numerous experimentally found formulas through rigorous proofs.
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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