Irrationality and transcendence of infinite continued fractions of square roots
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F18%3AA1901V2A" target="_blank" >RIV/61988987:17310/18:A1901V2A - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4064/aa170221-21-9" target="_blank" >http://dx.doi.org/10.4064/aa170221-21-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/aa170221-21-9" target="_blank" >10.4064/aa170221-21-9</a>
Alternative languages
Result language
angličtina
Original language name
Irrationality and transcendence of infinite continued fractions of square roots
Original language description
We give conditions on a sequence ${a_n}_{n=1}^infty$ of positive integers sufficient to ensure that the number defined by the continued fraction expansion $[0;sqrt{a_1}, sqrt{a_2}, dots]$ is either irrational or transcendental.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA17-02804S" target="_blank" >GA17-02804S: Properties of number sequences and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ACTA ARITH
ISSN
0065-1036
e-ISSN
1730-6264
Volume of the periodical
184
Issue of the periodical within the volume
1
Country of publishing house
PL - POLAND
Number of pages
6
Pages from-to
31-36
UT code for WoS article
000438461900003
EID of the result in the Scopus database
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