1 |
R. Clement, The genus field of an algebraic function field, J. Number Theory 40 (1992), no. 3, 359-375
DOI
|
2 |
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
|
3 |
M. Kida and N. Murabayashi, Cyclotomic functions fields and divisor class number one, Tokyo J. Math. 14 (1991), no. 1, 45-56
DOI
|
4 |
J. Leitzel, M. Madan, and C. Queen, Algebraic function fields with small class number. J. of Number Theory 7 (1975), 11-27
DOI
|
5 |
M. Madan and C. Queen, Algebraic function fields of class number one, Acta Arith. 20 (1972), 423-432
DOI
|
6 |
M. Rosen, Number theory in function fields. Graduate Texts in Mathematics 210, Springer-Verlag, New York, 2002
|
7 |
H. Stichtenoth, Algebraic function fields and codes, Universitext, Springer-Verlag, (1993)
|
8 |
L. Washington, Introduction to cyclotomic fields, Graduate Texts in Mathematics 83, Springer-Verlag, New York, 1997
|
9 |
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
DOI
ScienceOn
|
10 |
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
|
11 |
D. Le Brigand, Classification of algebraic function fields with divisor class number two, Finite Fields Appl. 2 (1996), no. 2, 153-172
DOI
ScienceOn
|
12 |
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
|
13 |
H. Jung and J. Ahn, Divisor class number one problem for abelian extensions over rational function fields, to appear in J. of Algebra
|
14 |
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
DOI
ScienceOn
|