Arithmetic progression of squares and solvability of the diophantine equation 8x4 + 1 = y2

Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/1845

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DC Field	Value	Language
dc.contributor.author	Panda, G K	-
dc.date.accessioned	2013-01-28T06:06:01Z	-
dc.date.available	2013-01-28T06:06:01Z	-
dc.date.issued	2012-10	-
dc.identifier.citation	International Conference in Number Theory and Applications, Mathematics, Kasetsart University, Bangkok, Thailand, October 24-26, 2012.	en
dc.identifier.uri	http://hdl.handle.net/2080/1845	-
dc.description	Copyright belongs to proceeding publisher	en
dc.description.abstract	There is no arithmetic progression consisting of square terms and with a square common dierence. Alternatively, the diophantine equation 1 + x4 = 2y2 has no solution in positive integers. Consequently, the diophantine equation 8x4 + 1 = y2 has no positive integral solution other than x = 1; y = 3, a clear indication that no balancing number other that 1 is a perfect square.	en
dc.format.extent	269769 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	-
dc.subject	Balancing numbers	en
dc.subject	Diophantine equations	en
dc.subject	Recurrence relations	en
dc.subject	Arithmetic progressions	en
dc.title	Arithmetic progression of squares and solvability of the diophantine equation 8x4 + 1 = y2	en
dc.type	Article	en
Appears in Collections:	Conference Papers

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