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Irrational Rapidly Convergent Series
| Title: | Irrational Rapidly Convergent Series |
| Authors: | Angeliki Koutsoukou-Argyraki and Wenda Li |
| Submission date: | 2018-05-23 |
| Abstract: | 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. |
| BibTeX: |
@article{Irrationality_J_Hancl-AFP,
author = {Angeliki Koutsoukou-Argyraki and Wenda Li},
title = {Irrational Rapidly Convergent Series},
journal = {Archive of Formal Proofs},
month = may,
year = 2018,
note = {\url{http://isa-afp.org/entries/Irrationality_J_Hancl.html},
Formal proof development},
ISSN = {2150-914x},
}
|
| License: | BSD License |
| Status: [ok] | This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations. |
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