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Mathematical Communications, Vol. 15 No. 2, 2010.

Original scientific paper

The number of D(-1)-quadruples

Alan Filipin ; Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia
Yasutsugu Fujita ; Department of Mathematics, College of Industrial Technology, Nihon University, Narashino, Chiba, Japan

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Abstract

In this paper, we first show that for any fixed D(-1)-triple {1,b,c} with b Using this result, we further show that there exist at most $10^{356}$ D(-1)-quadruples.

Keywords

Diophantine m-tuples; systems of Pell equations

Hrčak ID:

61850

URI

https://hrcak.srce.hr/61850

Publication date:

8.12.2010.

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