dc.citation.number |
1 |
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dc.citation.title |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
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dc.citation.volume |
517 |
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dc.contributor.author |
Lee, Jungyun |
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dc.contributor.author |
Lee, Yoonjin |
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dc.contributor.author |
Yoo, Jinjoo |
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dc.date.accessioned |
2024-02-15T17:35:14Z |
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dc.date.available |
2024-02-15T17:35:14Z |
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dc.date.created |
2024-02-15 |
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dc.date.issued |
2023-01 |
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dc.description.abstract |
We compute the mean value of |L(s,χ)|2 evaluated at s=1 when χ goes through the primitive cubic Dirichlet odd characters of A:=Fq[T], where Fq is a finite field with q elements and q≡1(mod3). Furthermore, we find the mean value of the class numbers for the cubic function fields Km=k(m3), where k:=Fq(T) is the rational function field, m∈A is a cube-free polynomial, and deg(m)≡1(mod3). © 2022 Elsevier Inc. |
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dc.identifier.bibliographicCitation |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.517, no.1 |
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dc.identifier.doi |
10.1016/j.jmaa.2022.126582 |
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dc.identifier.issn |
0022-247X |
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dc.identifier.scopusid |
2-s2.0-85136200878 |
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dc.identifier.uri |
https://scholarworks.unist.ac.kr/handle/201301/81408 |
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dc.language |
영어 |
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dc.publisher |
Academic Press Inc. |
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dc.title |
The mean value of the class numbers of cubic function fields |
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dc.type |
Article |
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dc.description.isOpenAccess |
FALSE |
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dc.type.docType |
Article |
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dc.description.journalRegisteredClass |
scie |
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dc.description.journalRegisteredClass |
scopus |
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dc.subject.keywordAuthor |
Cubic function field |
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dc.subject.keywordAuthor |
L-function |
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dc.subject.keywordAuthor |
Mean value of class number |
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dc.subject.keywordAuthor |
Moment over function field |
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