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자연과학대학
수학전공
Journal papers
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The mean value of the class numbers of cubic function fields
Title
The mean value of the class numbers of cubic function fields
Authors
Lee J.
;
Lee Y.
;
Yoo J.
Ewha Authors
이윤진
SCOPUS Author ID
이윤진
Issue Date
2023
Journal Title
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
Citation
Journal of Mathematical Analysis and Applications vol. 517, no. 1
Keywords
Cubic function field
;
L-function
;
Mean value of class number
;
Moment over function field
Publisher
Academic Press Inc.
Indexed
SCIE; SCOPUS
Document Type
Article
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.
DOI
10.1016/j.jmaa.2022.126582
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