On Euclid's Algorithm in some Cyclic Cubic Fields

1969 ◽  
Vol s1-44 (1) ◽  
pp. 577-582 ◽  
Author(s):  
J. R. Smith
Keyword(s):  
Euclid’S Algorithm ◽  
Cubic Fields ◽  
Euclid's Algorithm ◽  
Cyclic Cubic Fields

On Euclid's Algorithm in Cyclic Fields

1951 ◽  
Vol 3 ◽  
pp. 257-268 ◽  
Author(s):  
H. Heilbronn
Keyword(s):  
Finite Number ◽  
Quadratic Fields ◽  
Euclid’S Algorithm ◽  
Cubic Fields ◽  
Euclid's Algorithm ◽  
Totally Real ◽  
Cyclic Cubic Fields

In two papers I have proved that there are only a finite number of quadratic fields [6] and of cyclic cubic fields [7] in which Euclid's algorithm (E.A.) holds. Davenport has shown by a different method that there are only a finite number of quadratic fields [1, 2], of non-totally real cubic fields [3, 4] and of totally complex quartic fields in which E.A. holds.

Hierarchical approaches for multicast based on Euclid’s algorithm

2013 ◽  
Vol 65 (3) ◽  
pp. 1164-1178
Author(s):  
J. A. Álvarez-Bermejo ◽  
N. Antequera ◽  
J. A. López-Ramos
Keyword(s):  
Euclid’S Algorithm ◽  
Euclid's Algorithm

Euclid's algorithm

2011 ◽  
pp. 808-811
Author(s):  
P. P. Vaidyanathan ◽  
See-May Phoong ◽  
Yuan-Pei Lin
Keyword(s):  
Euclid’S Algorithm ◽  
Euclid's Algorithm
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