Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지
DOI QR코드

DOI QR Code

A DETERMINANT FORMULA FOR THE RELATIVE CONGRUENT ZETA FUNCTION IN CYCLOTOMIC FUNCTION FIELDS

  • Ahn, Jaehyun (Department of Mathematics Chungnam National University) ;
  • Ka, Dong-Seok (Department of Mathematics Chungnam National University)
  • Received : 2014.08.05
  • Accepted : 2014.09.26
  • Published : 2015.02.15
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper we give a determinant formula for the relative congruent zeta function in cyclotomic function fields.

Keywords

References

  1. J. Ahn, S. Choi, and H. Jung, Class number formulae in the form of a product of determinants in function fields. J. Aust. Math. Soc. 78 (2005), 227-238. https://doi.org/10.1017/S1446788700008053
  2. S. Bae and P-L. Kang, Class numbers of cyclotomic function fields. Acta Arith. 102 (2002), 251-259. https://doi.org/10.4064/aa102-3-4
  3. 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
  4. M. Rosen, A note on the relative class number in function fields. Proc. Amer. Math. Soc. 125 (1997), 1299-1303. https://doi.org/10.1090/S0002-9939-97-03748-9
  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

Cited by

  1. ON THE RATIO OF RELATIVE CONGRUENCE ZETA FUNCTIONS OF CYCLOTOMIC FUNCTION FIELDS vol.29, pp.1, 2016, https://doi.org/10.14403/jcms.2016.29.1.117