He, Bo and Pink, István and Pintér, Ákos and Togbé, Alain (2013) On the diophantine inequality X^2cXY^2+Y^4<=c+2. GLASNIK MATEMATICKI, 48 (2). pp. 291299. ISSN 0017095X

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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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