Average value of the divisor class numbers of real cubic function fields
- 주제(키워드) L-function , average value of class number , cubic function field , moment over function field
- 주제(기타) Mathematics
- 설명문(일반) [Lee, Yoonjin] Ewha Womans Univ, Dept Math, 52 Ewhayeodae Gil, Seoul 03760, South Korea; [Lee, Jungyun; Yoo, Jinjoo] Kangwon Natl Univ, Dept Math Educ, 1 Kangwondaehak Gil, Chunchon 24341, Gangwon Do, South Korea; [Yoo, Jinjoo] Ulsan Natl Inst Sci & Technol, Dept Math Sci, 50 Unist Gil, Ulsan 44919, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 Gold Open Access
- 발행기관 DE GRUYTER POLAND SP Z O O
- 발행년도 2023
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000213507
- 본문언어 영어
- Published As https://doi.org/10.1515/math-2023-0160
초록/요약
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
more초록/요약
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.
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