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Topic: [isabelle] New in the AFP: Irrational Rapidly Convergent ...


view this post on Zulip Email Gateway (Aug 22 2022 at 17:12):

From: "Thiemann, Rene" <Rene.Thiemann@uibk.ac.at>
Dear all,

there is a new formalized technique in the AFP to show that certain numbers are irrational.

Enjoy,
René

Irrational Rapidly Convergent Series
by Angeliki Koutsoukou Argyraki and Wenda Li

We formalize with Isabelle/HOL a proof of a theorem by J. Hancl asserting the
irrationality of the sum of a series consisting of rational numbers, built up
by sequences that fulfill certain properties. Even though the criterion is a
number theoretic result, the proof makes use only of analytical arguments. We
also formalize a corollary of the theorem for a specific series fulfilling the
assumptions of the theorem.


Last updated: Nov 21 2024 at 12:39 UTC