$ S$-Units and periodicity in quadratic function fields

2016 ◽  
Vol 71 (5) ◽  
pp. 973-975 ◽  
Author(s):  
V P Platonov ◽  
M M Petrunin
Keyword(s):  
Function Fields ◽  
Quadratic Function ◽  
Quadratic Function Fields

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.

scholarly journals Imaginary quadratic function fields

2010 ◽  
Vol 130 (3) ◽  
pp. 507-527
Author(s):  
Javier Diaz-Vargas ◽  
Carlos Pompeyo-Gutiérrez
Keyword(s):  
Function Fields ◽  
Quadratic Function ◽  
Quadratic Function Fields
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