Nondefective integers with respect to certain Lucas sequences of the second kind
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00489233" target="_blank" >RIV/67985840:_____/18:00489233 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Nondefective integers with respect to certain Lucas sequences of the second kind
Original language description
Let v(a, b) denote the Lucas sequence of the second kind defined by the secondorder recursion relation vn+2 = avn+1 + bvn with initial terms v0 = 2 and v1 = a, where a and b are integers. The positive integer m is said to be nondefective if v(a, b) contains a complete system of residues modulo m. All possibilities for m to be nondefective are found when b = ±1. This paper generalizes results of Avila and Chen for the Lucas sequence {Ln} = v(1, 1).
Czech name
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Czech description
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Classification
Type
J<sub>ost</sub> - Miscellaneous article in a specialist periodical
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
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
Integers. Electronic Journal of Combinatorial Number Theory
ISSN
1553-1732
e-ISSN
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Volume of the periodical
18
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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