충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제29권1호
  • /
  • Pages.117-121
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  • 2016
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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ON THE RATIO OF RELATIVE CONGRUENCE ZETA FUNCTIONS OF CYCLOTOMIC FUNCTION FIELDS

  • Ahn, Jaehyun (Department of Mathematics, Chungnam National University)
  • 투고 : 2016.01.08
  • 심사 : 2016.02.05
  • 발행 : 2016.02.15
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초록

In this paper we give a determinant formula for the ratio of relative congruence zeta functions of cyclotomic function fields.

키워드

과제정보

연구 과제 주관 기관 : Chungnam National University

참고문헌

  1. J. Ahn and D. Ka, A determinant formula for the relative congruent zeta function in cyclotomic function fields, J. Chungcheong Math. Soc. 28 (2015), 83-88. https://doi.org/10.14403/jcms.2015.28.1.83
  2. S. Galovich and M. Rosen, The class number of cyclotomic function fields, J. Number Theory 13 (1981), no. 3, 363-375. https://doi.org/10.1016/0022-314X(81)90021-4
  3. H. Jung and J. Ahn, Group determinant formulas and class numbers of cyclotomic fields, J. Korean Math. Soc. 44 (2007), no. 3, 499-509. https://doi.org/10.4134/JKMS.2007.44.3.499
  4. M. Rosen, Number theory in function fields, Graduate Texts in Mathematics 210, Springer-Verlag, New York, 2002.
  5. D. Shiomi, A determinant formula for relative congruence zeta functions for cyclotomic function fields, J. Aust. Math. Soc. 89 (2010), 133-144. https://doi.org/10.1017/S1446788710000261