Geodesic
A Lower Bound on the Number of Cyclic Function Fields With Class Number Divisible by n
Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 448-463

Voir la notice de l'article provenant de la source Cambridge

DOI

In this paper, we find a lower bound on the number of cyclic function fields of prime degree $l$ whose class numbers are divisible by a given integer $n$ . This generalizes a previous result of D. Cardon and R. Murty which gives a lower bound on the number of quadratic function fields with class numbers divisible by $n$ .
DOI : 10.4153/CMB-2006-044-7
Mots-clés : 11R29, 11R58 
Pacelli, Allison M. A Lower Bound on the Number of Cyclic Function Fields With Class Number Divisible by n. Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 448-463. doi: 10.4153/CMB-2006-044-7
@article{10_4153_CMB_2006_044_7,
     author = {Pacelli, Allison M.},
     title = {A {Lower} {Bound} on the {Number} of {Cyclic} {Function} {Fields} {With} {Class} {Number} {Divisible} by n},
     journal = {Canadian mathematical bulletin},
     pages = {448--463},
     year = {2006},
     volume = {49},
     number = {3},
     doi = {10.4153/CMB-2006-044-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-044-7/}
}
TY  - JOUR
AU  - Pacelli, Allison M.
TI  - A Lower Bound on the Number of Cyclic Function Fields With Class Number Divisible by n
JO  - Canadian mathematical bulletin
PY  - 2006
SP  - 448
EP  - 463
VL  - 49
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-044-7/
DO  - 10.4153/CMB-2006-044-7
ID  - 10_4153_CMB_2006_044_7
ER  - 
%0 Journal Article
%A Pacelli, Allison M.
%T A Lower Bound on the Number of Cyclic Function Fields With Class Number Divisible by n
%J Canadian mathematical bulletin
%D 2006
%P 448-463
%V 49
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-044-7/
%R 10.4153/CMB-2006-044-7
%F 10_4153_CMB_2006_044_7

Cité par Sources :