참고문헌
- B. Angles, On Hilbert class field towers of global function feilds: in 'Drinfeld modules, modular schemes and applications,' 261-271, World Sci. Publishing, River Edge, NJ 1997
- R. Auer, Ray class fields of global function fields with many rational places, Dissertation at the University of Oldenburg, www.bis.uni-oldenburg.de/dissertation/ediss.html, 1999
- 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 https://doi.org/10.1090/S0025-5718-03-01528-X
- D. Le Brigand, Classification of algebraic function fields with divisor class number two, Finite Fields Appl. 2 (1996), no. 2, 153-172 https://doi.org/10.1006/ffta.1996.0010
- H. L. Claasen, The group of units in GF(q)[x]=(a(x)), Nederl. Akad. Wetensch. Proc. Ser. A 80=Indag. Math. 39 (1977), no. 4, 245-255
- R. Clement, The genus field of an algebraic function field, J. Number Theory 40 (1992), no. 3, 359-375 https://doi.org/10.1016/0022-314X(92)90007-C
- H. Jung and J. Ahn, Divisor class number one problem for abelian extensions over rational function fields, to appear in J. of Algebra
- H. Jung and J. Ahn, Determination of all subfields of cyclotomic function fields with genus one, Commun. Korean math. Soc. 20 (2005), no. 2, 259-273 https://doi.org/10.4134/CKMS.2005.20.2.259
- M. Kida and N. Murabayashi, Cyclotomic functions fields and divisor class number one, Tokyo J. Math. 14 (1991), no. 1, 45-56 https://doi.org/10.3836/tjm/1270130486
- J. Leitzel, M. Madan, and C. Queen, Algebraic function fields with small class number. J. of Number Theory 7 (1975), 11-27 https://doi.org/10.1016/0022-314X(75)90004-9
- M. Madan and C. Queen, Algebraic function fields of class number one, Acta Arith. 20 (1972), 423-432 https://doi.org/10.4064/aa-20-4-423-432
- M. Rosen, Number theory in function fields. Graduate Texts in Mathematics 210, Springer-Verlag, New York, 2002
- H. Stichtenoth, Algebraic function fields and codes, Universitext, Springer-Verlag, (1993)
- L. Washington, Introduction to cyclotomic fields, Graduate Texts in Mathematics 83, Springer-Verlag, New York, 1997