Euler and the Strong Law of Small Numbers
Karl Dilcher, Christophe Vignat
TL;DR
This paper corrects a historical error in the formula for Euler numbers found in Hansen's reference, clarifying the true mathematical properties and history of Euler numbers.
Contribution
It identifies and rectifies a specific mistake in the Euler numbers formula and discusses its historical context.
Findings
Corrected the erroneous Euler numbers formula
Clarified the historical development of Euler numbers
Enhanced accuracy of mathematical references on Euler numbers
Abstract
We identify and correct an erroneous formula for Euler numbers that appears in Hansen's Table of Series and Products. We also provide details about the history of this error.
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Taxonomy
TopicsAdvanced Mathematical Identities · Probability and Statistical Research · History and Theory of Mathematics