scholarly journals Determinant formulas for class numbers in function fields

2004 ◽  
Vol 74 (250) ◽  
pp. 953-966 ◽  
Author(s):  
Hwanyup Jung ◽  
Sunghan Bae ◽  
Jaehyun Ahn
Keyword(s):  
Function Fields ◽  
Class Numbers

A Lower Bound on the Number of Cyclic Function Fields With Class Number Divisible byn

2006 ◽  
Vol 49 (3) ◽  
pp. 448-463 ◽  
Author(s):  
Allison M. Pacelli
Keyword(s):  
Lower Bound ◽  
Class Number ◽  
Function Fields ◽  
Quadratic Function ◽  
Class Numbers ◽  
Prime Degree ◽  
Cyclic Function ◽  
Quadratic Function Fields

AbstractIn this paper, we find a lower bound on the number of cyclic function fields of prime degreelwhose class numbers are divisible by a given integern. 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 byn.

Sign in / Sign up

Export Citation Format

Share Document