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Qualitative chain graphs and their application

โœ Scribed by Lappenschaar, Martijn; Hommersom, Arjen; Lucas, Peter J.F.


Book ID
121755514
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
592 KB
Volume
55
Category
Article
ISSN
0888-613X

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Diophantine equations , odd graphs, and
โœ Chun-Gang Ji ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 239 KB

Let D > 2 be a square-free integer and define a direct graph G(D) such that the vertices of the graph are the primes p i dividing D, and the arcs are determined by conditions on the quadratic residues (p i /p j ). In this paper, our main result is that x 2 -Dy 2 = k, where k = -1, ยฑ2, is solvable if