DOI QR코드

DOI QR Code

A DETERMINANT FORMULA FOR CONGRUENT ZETA FUNCTIONS OF REAL ABELIAN FUNCTION FIELDS

  • Ahn, Jae-Hyun (Department of Mathematics Chungnam National University) ;
  • Jung, Hwan-Yup (Department of Mathematics Education Chungbuk National University)
  • 투고 : 2010.07.07
  • 발행 : 2011.11.30

초록

In this paper we give a determinant formula for congruent zeta functions of real Abelian function fields. We also give some example of congruent zeta functions when the conductor of real Abelian function field is monic irreducible.

과제정보

연구 과제 주관 기관 : National Research Foundation of Korea(NRF)

참고문헌

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  2. S. Bae, H. Jung, and J. Ahn, Class numbers of some abelian extensions of rational function fields, Math. Comp. 73 (2004), no. 245, 377-386.
  3. S. Bae and P.-L. Kang, Class numbers of cyclotomic function fields, Acta Arith. 102 (2002), no. 3, 251-259. https://doi.org/10.4064/aa102-3-4
  4. M. Rosen, A note on the relative class number in function fields, Proc. Amer. Math. Soc. 125 (1997), no. 5, 1299-1303. https://doi.org/10.1090/S0002-9939-97-03748-9
  5. D. Shiomi, A determinant formula for congruence zeta functions of maximal real cyclotomic function fields, Acta Arith. 138 (2009), no. 3, 259-268. https://doi.org/10.4064/aa138-3-3