TL;DR
This paper introduces a new analytical approach to derive BBP-type formulas directly from simple generators, eliminating the need for computational searches and unifying many known formulas under a common framework.
Contribution
The authors present a non-PSLQ method to analytically generate BBP-type formulas from basic generators, expanding the understanding of these formulas without relying on computer searches.
Findings
Derived a wide range of BBP-type formulas analytically.
Unified many previously known BBP-type formulas as special cases.
Showed that simple generators can produce complex formulas without computational search.
Abstract
BBP-type formulas are usually discovered experimentally, through computer searches. In this paper, however, starting with two simple generators, and hence without doing any computer searches, we derive a wide range of BBP-type formulas in general bases. Many previously discovered BBP-type formulas turn out to be particular cases of the formulas derived here.
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