논문KCI 등재
A determinant formula for congruent zeta functions of real abelian function fields
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper we give a determinant formula for congruent zeta functions of real Abelian function fields. We also give some examples of congruent zeta functions when the conductor of real Abelian function field is monic irreducible.
Abstract
In this paper we give a determinant formula for congruent zeta functions of real Abelian function fields. We also give some examples of congruent zeta functions when the conductor of real Abelian function field is monic irreducible.
참고문헌 (5)
- J. Ahn, "Class number formulae in the form of a product of determinants in function fields", JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 78(2), pp.227~238 (2005), AUSTRALIAN MATHEMATICS PUBL ASSOC INC
- S. Bae, "Class numbers of some abelian extensions of rational function fields", MATHEMATICS OF COMPUTATION, 73, pp.377~386 (2003), AMER MATHEMATICAL SOC
- 배성한, "Class numbers of cyclotomic function fields", ACTA ARITHMETICA, 102(3), pp.251~259 (2002), POLISH ACAD SCIENCES INST MATHEMATICS
- M. Rosen, "A note on the relative class number in function fields", Proc. Amer. Math. Soc, 125(5), pp.1299~1303 (1997)
- D. Shiomi, "A determinant formula for congruence zeta functions of maximal real cyclo- tomic function fields", Acta Arith, 138(3), pp.259~268 (2009)
관련 논문AI추천
ON THE RELATIVE ZETA FUNCTION IN FUNCTION FIELDSDaisuke Shiomi대한수학회 · 대한수학회논문집2012 · 제27권 제3호Cylotomic function fields over finite fields with class number threeDilek Buyruk, Ferruh Ozbudak, Mehpare Bilhan대한수학회 · 대한수학회지2019 · 제56권 제2호Congruence properties of a Drinfeld modular function μ최소영대한수학회 · 대한수학회논문집2009 · 제24권 제2호Note on average of class numbers of cubic function fields정환엽강원경기수학회 · 한국수학논문집2014 · 제22권 제3호The $p$-part of divisor class numbers for cyclotomic function fieldsDaisuke Shiomi대한수학회 · 대한수학회논문집2023 · 제38권 제3호Evaluation~ of~ the~ Zeta~ Functions~ of~ Totally~ Real Number Fields and Its Application이준호영남수학회 · East Asian Mathematical Journal2019 · 제35권 제1호
이 간행물의 다른 논문 (20건)
Chaotic property of weighted composition operatorsHamid Rezaeipp. 1119-1124On the local cohomology of minimax modulesAmir Mafipp. 1125-1128Some invariant subspaces for subscalar operators유종광pp. 1129-1135On the rates of the almost sure convergence for self-normalized law of the iterated logarithmTian-Xiao Pangpp. 1137-1146Finite non-nilpotent generalizations of Hamiltonian groupsZhencai Shen, Jinshan Zhang, Wujie Shipp. 1147-1155