REAL

On the diophantine inequality |X^2-cXY^2+Y^4|<=c+2

He, Bo and Pink, István and Pintér, Ákos and Togbé, Alain (2013) On the diophantine inequality |X^2-cXY^2+Y^4|<=c+2. GLASNIK MATEMATICKI, 48 (2). pp. 291-299. ISSN 0017-095X

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Abstract

Generalizing some earlier results, we find all the cop- rime integer solutions of the Diophantine inequality |X2 - cXY 2 + Y 4| <= c + 2; (X; Y ) = 1; except when c == 2 (mod 4), in which case we bound the num- ber of integer solutions. Our work is based on the results on the Diophantine equation AX4 - BY 2 = C; where A;B are positive integers and C 2 �f1; 2; 4g.

Item Type: Article
Uncontrolled Keywords: Diophantine equations, quartic equations.
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 06 Feb 2014 15:17
Last Modified: 08 Feb 2014 07:22
URI: http://real.mtak.hu/id/eprint/10009

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