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Publication
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| Title of Article |
Non-archimedean SEL Egyptian fraction expansion and characterizations of rational elements of function fields |
| Date of Acceptance |
23 September 2023 |
| Journal |
| Title of Journal |
Journal of Interdisciplinary Mathematics |
| Standard |
SCOPUS |
| Institute of Journal |
TARU PUBLICATIONS |
| ISBN/ISSN |
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| Volume |
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| Month |
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| Year of Publication |
2023 |
| Page |
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| Abstract |
Let K be a complete field with respect to a discrete non-archimedean valuation. In
this paper, we construct the SEL Egyptian fraction expansion for elements of K, which
yields a generalized version of the non-archimedean Sylvester series, Engel series, and
Lüroth series expansions. Using this expansion, characterizations of rational elements
of the two function fields, one completed with respect to a prime-adic valuation and
the other with respect to the degree valuation, are also established. These results
generalize the existing rationality characterizations via the above three series expansions
for elements of such function fields. |
| Keyword |
Sylvester series expansion, Engel series expansion, Lüroth series expansion, SEL Egyptian fraction expansion, discrete-valued non-archimedean field, function fields |
| 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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Journal Publication
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