scholarly journals Diophantine approximation with prime restriction in real quadratic number fields

2021 ◽  
Author(s):  
Stephan Baier ◽  
Dwaipayan Mazumder
Keyword(s):  
Diophantine Approximation ◽  
Number Fields ◽  
Quadratic Number ◽  
Quadratic Number Fields ◽  
Real Quadratic

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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