scholarly journals The moments and statistical distribution of class number of primes over function fields

2021 ◽  
Vol 73 ◽  
pp. 101845
Author(s):  
Julio Andrade ◽  
Asmaa Shamesaldeen
Keyword(s):  
Class Number ◽  
Function Fields ◽  
Statistical Distribution

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

scholarly journals Mean value of the class number in function fields revisited

2018 ◽  
Vol 187 (4) ◽  
pp. 577-602
Author(s):  
Julio C. Andrade ◽  
Hwanyup Jung
Keyword(s):  
Class Number ◽  
Function Fields ◽  
Mean Value
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