scholarly journals IMAGINARY BICYCLIC FUNCTION FIELDS WITH THE REAL CYCLIC SUBFIELD OF CLASS NUMBER ONE

2008 ◽  
Vol 45 (2) ◽  
pp. 375-384 ◽  
Author(s):  
Hwan-Yup Jung
Keyword(s):  
Class Number ◽  
Function Fields ◽  
The Real

scholarly journals Class number formulae in the form of a product of determinants in function fields

2005 ◽  
Vol 78 (2) ◽  
pp. 227-238 ◽  
Author(s):  
Jaehyun Ahn ◽  
Soyoung Choi ◽  
Hwanyup Jung
Keyword(s):  
Class Number ◽  
Prime Power ◽  
Function Fields ◽  
The Real ◽  
Relative Class ◽  
Intermediate Field ◽  
Class Number Formula ◽  
Relative Class Number ◽  
Number Formula

AbstractIn this paper, we generalize the Kučera's group-determinant formulae to obtain the real and relative class number formulae of any subfield of cyclotomic function fields with arbitrary conductor in the form of a product of determinants. From these formulae, we generalize the relative class number formula of Rosen and Bae-Kang and obtain analogous results of Tsumura and Hirabayashi for an intermediate field in the tower of cyclotomic function fields with prime power conductor.

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 Function fields of class number one

2015 ◽  
Vol 154 ◽  
pp. 375-379 ◽  
Author(s):  
Qibin Shen ◽  
Shuhui Shi
Keyword(s):  
Class Number ◽  
Function Fields

scholarly journals Cyclotomic Function Fields with Divisor Class Number One

1991 ◽  
Vol 14 (1) ◽  
pp. 45-56 ◽  
Author(s):  
Masanari KIDA ◽  
Naoki MURABAYASHI
Keyword(s):  
Class Number ◽  
Function Fields ◽  
Divisor Class
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