Hone, Andrew N.W., Varona, Juan Luis (2018) Continued fractions and irrationality exponents for modified engel and pierce series. Monatshefte fur Mathematik, . pp. 1-16. ISSN 0026-9255. E-ISSN 1436-5081. (doi:10.1007/s00605-018-1244-1) (KAR id:70203)
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Official URL https://doi.org/10.1007/s00605-018-1244-1 |
Abstract
An Engel series is a sum of reciprocals of a non-decreasing
by the previous one, and a Pierce series is an alternating sum of the
number, we show that there is a family of Engel series which when
expansion is determined explicitly by the corresponding sequence
second order. We also present an analogous result for a rational number
rational number combined with either an Engel or a Pierce series), the
identify infinite families of transcendental numbers ? whose irrationality
continued fraction expansion for an arbitrary rational number added to
j.
Item Type: | Article |
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DOI/Identification number: | 10.1007/s00605-018-1244-1 |
Subjects: | Q Science > QA Mathematics (inc Computing science) |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Andrew Hone |
Date Deposited: | 20 Nov 2018 11:03 UTC |
Last Modified: | 16 Feb 2021 13:59 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/70203 (The current URI for this page, for reference purposes) |
Hone, Andrew N.W.: | ![]() |
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