International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 136

Research Paper | Mathematics | India | Volume 5 Issue 11, November 2016


On Non- Homogeneous Biquadratic Diophantine Equation 7(x2+y2) - 13xy = 31z4

Dr. P. Jayakumar [14] | R. Venkatraman [6]


Abstract: Five different methods of the non-zero integral solutions of the homogeneous biquadratic Diophantine equation with five unknowns 7 (x2 + y2) - 13xy = 31z4 are determined. Introducing the linear transformations x = u + v, y = u v, u v 0 in 7 (x2 + y2) - 13xy = 31z4, it reduces to u2 +27v2 = 31z4. We are solved the above equation through various choices and the different methods of solutions which are satisfied it. Some interesting relations among the special numbers and the solutions are exposed


Keywords: Quadratic, non-homogenous, integer solutions, special numbers, polygonal, and pyramidal numbers


Edition: Volume 5 Issue 11, November 2016,


Pages: 391 - 394


How to Download this Article?

You Need to Register Your Email Address Before You Can Download the Article PDF


How to Cite this Article?

Dr. P. Jayakumar, R. Venkatraman, "On Non- Homogeneous Biquadratic Diophantine Equation 7(x2+y2) - 13xy = 31z4", International Journal of Science and Research (IJSR), Volume 5 Issue 11, November 2016, pp. 391-394, https://www.ijsr.net/get_abstract.php?paper_id=ART20162748

Similar Articles with Keyword 'Quadratic'

Downloads: 153 | Weekly Hits: ⮙1 | Monthly Hits: ⮙2

Research Paper, Mathematics, India, Volume 6 Issue 11, November 2017

Pages: 1792 - 1796

A Study on Graph with Desmos through ICT in Diploma in Elementary Education of Tamil Nadu State Board

P. Charles Paul | G. Thulasi [2]

Share this Article

Downloads: 0

Research Paper, Mathematics, India, Volume 11 Issue 4, April 2022

Pages: 926 - 929

A Deterministic Inventory Model with Biquadratic Demand, Static Rate of Deterioration and Linear Carrying Cost

Pooja Soni [9] | Rajender Kumar [4]

Share this Article
Top