scholarly journals On the Exponents of Class Groups of Some Families of Imaginary Quadratic Fields

2021 ◽  
Vol 18 (4) ◽  
Author(s):  
Azizul Hoque
Keyword(s):  
Quadratic Fields ◽  
Class Groups ◽  
Imaginary Quadratic Fields

scholarly journals On the Schertz Conjecture

2019 ◽  
Vol 62 (3) ◽  
pp. 837-845
Author(s):  
Ja Kyung Koo ◽  
Dong Sung Yoon
Keyword(s):  
Abelian Extension ◽  
Quadratic Fields ◽  
Class Groups ◽  
Imaginary Quadratic Fields ◽  
Limit Formula ◽  
Kronecker Limit Formula

AbstractSchertz conjectured that every finite abelian extension of imaginary quadratic fields can be generated by the norm of the Siegel–Ramachandra invariants. We present a conditional proof of his conjecture by means of the characters on class groups and the second Kronecker limit formula.

scholarly journals Missing Class Groups and Class Number Statistics for Imaginary Quadratic Fields

2017 ◽  
Vol 28 (2) ◽  
pp. 233-254 ◽  
Author(s):  
S. Holmin ◽  
N. Jones ◽  
P. Kurlberg ◽  
C. McLeman ◽  
K. Petersen
Keyword(s):  
Class Number ◽  
Quadratic Fields ◽  
Class Groups ◽  
Imaginary Quadratic Fields
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