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.

Class number parities of compositum of quadratic function fields

2017 ◽  
Vol 67 (2) ◽  
Author(s):  
Sunghan Bae ◽  
Hwanyup Jung
Keyword(s):  
Class Number ◽  
Function Fields ◽  
Quadratic Function ◽  
Class Numbers ◽  
Ideal Class ◽  
Quadratic Function Fields

AbstractThe parities of ideal class numbers of compositum of quadratic function fields are studied. Especially, the parities of ideal class numbers of

scholarly journals Class numbers of real quadratic function fields

1997 ◽  
Vol 81 (1) ◽  
pp. 45-55
Author(s):  
Christian Friesen ◽  
Paul van Wamelen
Keyword(s):  
Function Fields ◽  
Quadratic Function ◽  
Class Numbers ◽  
Quadratic Function Fields ◽  
Real Quadratic
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