The mean value of the class numbers of cubic function fields
- 주제(키워드) Cubic function field , L-function , Mean value of class number , Moment over function field
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Academic Press Inc.
- 발행년도 2023
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000203231
- 본문언어 영어
- Published As https://doi.org/10.1016/j.jmaa.2022.126582
초록/요약
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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