Irrationality exponents of generalized Hone series

We compute the exact irrationality exponents of certain series of rational numbers, first studied in a special case by Hone, by transforming them into suitable continued fractions.

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Bibliographic Details
Published in:Monatshefte für Mathematik 2020-10, Vol.193 (2), p.291-303
Main Authors: Duverney, Daniel, Kurosawa, Takeshi, Shiokawa, Iekata
Format: Article
Language:English
Subjects:
Exponents
Irrationality
Mathematics
Mathematics and Statistics
Numbers
Citations: Items that this one cites
Online Access:Get full text
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Description
Summary:We compute the exact irrationality exponents of certain series of rational numbers, first studied in a special case by Hone, by transforming them into suitable continued fractions.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-020-01423-6