Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/1845
Title: Arithmetic progression of squares and solvability of the diophantine equation 8x4 + 1 = y2
Authors: Panda, G K
Keywords: Balancing numbers
Diophantine equations
Recurrence relations
Arithmetic progressions
Issue Date: Oct-2012
Citation: International Conference in Number Theory and Applications, Mathematics, Kasetsart University, Bangkok, Thailand, October 24-26, 2012.
Abstract: There is no arithmetic progression consisting of square terms and with a square common di erence. 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.
Description: Copyright belongs to proceeding publisher
URI: http://hdl.handle.net/2080/1845
Appears in Collections:Conference Papers

Files in This Item:
File Description SizeFormat 
full_paper.pdf263.45 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.