| Title of Article |
SEL EGYPTIAN FRACTION EXPANSION AND CHARACTERIZATIONS OF RATIONAL NUMBERS |
| Date of Acceptance |
5 October 2020 |
| Journal |
| Title of Journal |
Journal of Discrete Mathematical Sciences & Cryptography |
| Standard |
SCOPUS |
| Institute of Journal |
taru publications |
| ISBN/ISSN |
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| Volume |
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| Issue |
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| Month |
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| Year of Publication |
2020 |
| Page |
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| Abstract |
In the earlier work, the SEL series expansion for any real number is constructed and characterizations of rational numbers by using such expansion are established. In this paper, we construct the SEL Egyptian fraction expansion for any real number and establish characterizations of rational numbers by using such expansion. These results yield a generalized version of the results for the Fibonacci-Sylvester expansion and the Cohen-Egyptian fraction expansion. A new expansion, called the Lüroth Egyptian fraction expansion is obtained and the relation between the SEL Egyptian fraction expansion and the SEL series expansion is also established. |
| Keyword |
Egyptian fraction, Fibonacci-Sylvester expansion, Cohen-Egyptian fraction expansion, SEL series expansion |
| Author |
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| Reviewing Status |
มีผู้ประเมินอิสระ |
| Status |
ได้รับการตอบรับให้ตีพิมพ์ |
| Level of Publication |
นานาชาติ |
| citation |
true |
| Part of thesis |
true |
| Attach file |
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| Citation |
0
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Publication
Journal Publication
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