On Pillai's problem with X-coordinates of Pell equations and powers of 2
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F19%3AA200249Q" target="_blank" >RIV/61988987:17310/19:A200249Q - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022314X19301155" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022314X19301155</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jnt.2019.03.010" target="_blank" >10.1016/j.jnt.2019.03.010</a>
Alternative languages
Result language
angličtina
Original language name
On Pillai's problem with X-coordinates of Pell equations and powers of 2
Original language description
In this paper we show that if (X-n, Y-n) is the nth solution of the Pell equation X-2 - dY(2) = +/- 1 for some non-square d, then given any integer c, the equation c = X-n - 2(m) has at most 3 integer solutions (n, m) with n >= 1 and m >= 0
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
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
J NUMBER THEORY
ISSN
0022-314X
e-ISSN
—
Volume of the periodical
203
Issue of the periodical within the volume
October
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
294-309
UT code for WoS article
000476856600015
EID of the result in the Scopus database
2-s2.0-85065072985