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Representation of Integers as Sums of Fibonacci and Lucas Numbers
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Park, Ho | - |
| dc.contributor.author | Cho, Bumkyu | - |
| dc.contributor.author | Cho, Durkbin | - |
| dc.contributor.author | Cho, Yung Duk | - |
| dc.contributor.author | Park, Joonsang | - |
| dc.date.accessioned | 2023-04-27T21:40:44Z | - |
| dc.date.available | 2023-04-27T21:40:44Z | - |
| dc.date.issued | 2020-10 | - |
| dc.identifier.issn | 2073-8994 | - |
| dc.identifier.issn | 2073-8994 | - |
| dc.identifier.uri | https://scholarworks.dongguk.edu/handle/sw.dongguk/6096 | - |
| dc.description.abstract | Motivated by the Elementary Problem B-416 in the Fibonacci Quarterly, we show that, given any integers n and r with n >= 2, every positive integer can be expressed as a sum of Fibonacci numbers whose indices are distinct integers not congruent to r modulo n. Similar expressions are also dealt with for the case of Lucas numbers. Symmetric and anti-symmetric properties of Fibonacci and Lucas numbers are used in the proofs. | - |
| dc.format.extent | 8 | - |
| dc.language | 영어 | - |
| dc.language.iso | ENG | - |
| dc.publisher | MDPI | - |
| dc.title | Representation of Integers as Sums of Fibonacci and Lucas Numbers | - |
| dc.type | Article | - |
| dc.publisher.location | 스위스 | - |
| dc.identifier.doi | 10.3390/sym12101625 | - |
| dc.identifier.scopusid | 2-s2.0-85093674786 | - |
| dc.identifier.wosid | 000585464400001 | - |
| dc.identifier.bibliographicCitation | SYMMETRY-BASEL, v.12, no.10, pp 1 - 8 | - |
| dc.citation.title | SYMMETRY-BASEL | - |
| dc.citation.volume | 12 | - |
| dc.citation.number | 10 | - |
| dc.citation.startPage | 1 | - |
| dc.citation.endPage | 8 | - |
| dc.type.docType | Article | - |
| dc.description.isOpenAccess | Y | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Science & Technology - Other Topics | - |
| dc.relation.journalWebOfScienceCategory | Multidisciplinary Sciences | - |
| dc.subject.keywordPlus | TRANSMISSION | - |
| dc.subject.keywordAuthor | Fibonacci numbers | - |
| dc.subject.keywordAuthor | Lucas numbers | - |
| dc.subject.keywordAuthor | Zeckendorf's theorem | - |
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Related Researcher
- Cho, Bum Kyu
- College of Natural Science (Department of Mathematics)