On Real Quadratic Number Fields Related With A Specific Type of Continued Fraction Expansions

2016 ◽  
Vol 4 (2) ◽  
pp. 85-90 ◽  
Author(s):  
Ozen OZER
Keyword(s):  
Continued Fraction ◽  
Number Fields ◽  
Quadratic Number ◽  
Quadratic Number Fields ◽  
Continued Fraction Expansions ◽  
Real Quadratic

scholarly journals A note on symmetry and ambiguity

1995 ◽  
Vol 51 (2) ◽  
pp. 215-233 ◽  
Author(s):  
R.A. Mollin ◽  
A.J. van der Poorten
Keyword(s):  
Continued Fraction ◽  
Number Fields ◽  
Quadratic Number ◽  
Continued Fraction Expansion ◽  
Quadratic Number Fields ◽  
The Relationship ◽  
Real Quadratic

We present the relationship between quadratic irrationals whose continued fraction expansion has symmetric period, and ambiguous ideal cycles in real quadratic number fields.

scholarly journals On a class of insoluble binary quadratic diophantine equations

1991 ◽  
Vol 123 ◽  
pp. 141-151 ◽  
Author(s):  
Franz Halter-Koch
Keyword(s):  
Diophantine Equation ◽  
Class Number ◽  
Diophantine Equations ◽  
Number Fields ◽  
Quadratic Number ◽  
Number Problem ◽  
Quadratic Number Fields ◽  
Quadratic Diophantine Equation ◽  
Real Quadratic

The binary quadratic diophantine equationis of interest in the class number problem for real quadratic number fields and was studied in recent years by several authors (see [4], [5], [2] and the literature cited there).

Euclidean real quadratic number fields

1985 ◽  
Vol 44 (4) ◽  
pp. 340-347 ◽  
Author(s):  
David H. Johnson ◽  
Clifford S. Queen ◽  
Alicia N. Sevilla
Keyword(s):  
Number Fields ◽  
Quadratic Number ◽  
Quadratic Number Fields ◽  
Real Quadratic

scholarly journals On θ-congruent numbers on real quadratic number fields

2015 ◽  
Vol 38 (2) ◽  
pp. 352-364 ◽  
Author(s):  
Ali S. Janfada ◽  
Sajad Salami
Keyword(s):  
Number Fields ◽  
Quadratic Number ◽  
Quadratic Number Fields ◽  
Real Quadratic
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