A bound for the 3-part of class numbers of quadratic fields by means of the square sieve

2006 ◽  
Vol 18 (4) ◽  
Author(s):  
Lillian B Pierce
Keyword(s):  
Quadratic Fields ◽  
Class Numbers ◽  
Square Sieve

scholarly journals An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five

2017 ◽  
Vol 176 ◽  
pp. 333-343 ◽  
Author(s):  
Miho Aoki ◽  
Yasuhiro Kishi
Keyword(s):  
Infinite Family ◽  
Quadratic Fields ◽  
Class Numbers ◽  
Imaginary Quadratic Fields

Divisibility of Class Numbers of Quadratic Fields: Qualitative Aspects

2018 ◽  
pp. 247-264 ◽  
Author(s):  
Kalyan Chakraborty ◽  
Azizul Hoque ◽  
Richa Sharma
Keyword(s):  
Quadratic Fields ◽  
Class Numbers

scholarly journals Real quadratic fields with class numbers divisible by five

1977 ◽  
Vol 31 (140) ◽  
pp. 1019-1019 ◽  
Author(s):  
Charles J. Parry
Keyword(s):  
Quadratic Fields ◽  
Class Numbers ◽  
Real Quadratic Fields ◽  
Real Quadratic

scholarly journals On the Insolubility of a Class of Diophantine Equations and the Nontriviality of the Class Numbers of Related Real Quadratic Fields of Richaud-Degert Type

1987 ◽  
Vol 105 ◽  
pp. 39-47 ◽  
Author(s):  
R. A. Mollin
Keyword(s):  
Diophantine Equations ◽  
Quadratic Fields ◽  
Class Numbers ◽  
Real Quadratic Fields ◽  
Integer Solutions ◽  
The Relationship ◽  
Real Quadratic

Many authors have studied the relationship between nontrivial class numbers h(n) of real quadratic fields and the lack of integer solutions for certain diophantine equations. Most such results have pertained to positive square-free integers of the form n = l2 + r with integer >0, integer r dividing 4l and — l<r<l. For n of this form, is said to be of Richaud-Degert (R-D) type (see [3] and [8]; as well as [2], [6], [7], [12] and [13] for extensions and generalizations of R-D types.)

scholarly journals Class numbers of quadratic fields ${\mathbb Q}(\sqrt {D})$ and ${\mathbb Q}(\sqrt {tD})$

2004 ◽  
Vol 132 (11) ◽  
pp. 3137-3140 ◽  
Author(s):  
Dongho Byeon
Keyword(s):  
Quadratic Fields ◽  
Class Numbers

scholarly journals Class numbers and Iwasawa invariants of quadratic fields

1996 ◽  
Vol 124 (1) ◽  
pp. 31-34 ◽  
Author(s):  
James S. Kraft
Keyword(s):  
Quadratic Fields ◽  
Class Numbers ◽  
Iwasawa Invariants

scholarly journals Class numbers of imaginary quadratic fields

2003 ◽  
Vol 73 (246) ◽  
pp. 907-939 ◽  
Author(s):  
Mark Watkins
Keyword(s):  
Quadratic Fields ◽  
Class Numbers ◽  
Imaginary Quadratic Fields

scholarly journals Computations of class numbers of real quadratic fields

1998 ◽  
Vol 67 (223) ◽  
pp. 1285-1309 ◽  
Author(s):  
Anitha Srinivasan
Keyword(s):  
Quadratic Fields ◽  
Class Numbers ◽  
Real Quadratic Fields ◽  
Real Quadratic
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