# 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