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Average value of the divisor class numbers of real cubic function fields
- Title
- Average value of the divisor class numbers of real cubic function fields
- Authors
- Lee, Yoonjin; Lee, Jungyun; Yoo, Jinjoo
- Ewha Authors
- 이윤진
- SCOPUS Author ID
- 이윤진
- Issue Date
- 2023
- Journal Title
- OPEN MATHEMATICS
- ISSN
- 2391-5455
- Citation
- OPEN MATHEMATICS vol. 21, no. 1
- Keywords
- L-function; average value of class number; cubic function field; moment over function field
- Publisher
- DE GRUYTER POLAND SP Z O O
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- We compute an asymptotic formula for the divisor class numbers of real cubic function fields K = k( m) m 3, where q is a finite field with q elements, q = 1 (mod 3), k. (T) q is the rational function field, and m. [T] q is a cube-free polynomial; in this case, the degree of m is divisible by 3. For computation of our asymptotic formula, we find the average value of |L(s,.)|2 evaluated at s = 1 when. goes through the primitive cubic even Dirichlet characters of [T] q, where L(s,.) is the associated Dirichlet L-function.
- DOI
- 10.1515/math-2023-0160
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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