ON TERNARY QUADRATIC DIOPHANTINE EQUATION 5(x2 +y2 )-6xy=196z2

  • M.A.Gopalan Shrimati Indira Gandhi College ,Tiruchirappalli, Tamil Nadu
  • S.Vidhyalakshm Shrimati Indira Gandhi College , Tiruchirappalli, Tamil Nadu
  • U.K.Rajalakshmi Sri Ramakrishna Matric Higher Secondary School,Perambalur
DOI: https://doi.org/10.53555/m.v3i5.1568
Keywords: Ternary quadratic,, homogeneous quadratic, integers solutions

Abstract

The ternary homogeneous quadratic equation given by 5(x2 +y2)-6xy=196z2 representing a cone is analysed for its non-zero distinct integers solutions. A few interesting relations between the solutions and special polygonal numbers are presented.

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Author Biographies

M.A.Gopalan, Shrimati Indira Gandhi College ,Tiruchirappalli, Tamil Nadu

Professor, Department of Mathematics,

S.Vidhyalakshm, Shrimati Indira Gandhi College , Tiruchirappalli, Tamil Nadu

Professor, Department of Mathematics, SIGC,

U.K.Rajalakshmi, Sri Ramakrishna Matric Higher Secondary School,Perambalur

Teacher

References

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Gopalan.M.A, Vidhyalakshmi.S, Umarani.J, “On the ternaryquadratic Diophantine equation

(x2 +y2)-8xy=21z2 “Sch J Eng Tech 2014; 2(2A): 108-112.

Meena.K, Vidhyalakshmi.S, Gopalan.M.A, Priya.I.K, “Integral points on the cone 3(x2 +y2)-5xy=47z2 “Bulletin of Mathematics and Statistic Research 2014; 2(1):65-70.

Gopalan.M.A, Vidhyalakshmi.S, Nivetha.S, “Onternary quadratics equation 4(x2 +y2)-7xy=31z2 “Diophantus J Math 2014; 3(1): 1-7.

Shanthi.J, Gopalan.M.A, Vidhyalakshmi.S, “Lattice pointson the homogeneous cone 5(x2 +y2)-15xy=56z2 “Sch Journal of Phy Math Stat 2014; 1(1): 29-32.

Gopalan.M.A, Vidhyalakshmi.S, Mallika.S, “On ternary quadratic Diophantine equation 8(x2 +y2)-15xy=80z2 “BOMSR, 2014; 2(4): 429-433.

Gopalan.M.A, Vidhyalakshmi.S, Kavitha.A, Mary Madona.D, “On ternary quadratic Diophantine equation 3(x2 +y2)-2xy=4z2 “Int.J. ofEngg. Sci and Mgmt (IJESM), vol-5, Issue 2: April-June; 2015, 11-18.

]Gopalan.M.A, Geetha.T, Hemalatha.K, “On the ternary quadratic Diophantine equation 5(x2 +y2)-2xy=20z2 “International journal of multidisciplinary research and development, vol-2, Issue: 4,211-214 April 2015.

Gopalan.M.A, ManjuSomanath, Sangeetha.V, “On the ternary quadratic equation 5(x2 +y2)-9xy=19z2 “IJIRSET, vol-2, Issue 6; 2008-2010,June 2013

Published
2017-05-31
How to Cite
Gopalan, M., Vidhyalakshm, S., & Rajalakshmi, U. (2017). ON TERNARY QUADRATIC DIOPHANTINE EQUATION 5(x2 +y2 )-6xy=196z2. IJRDO -JOURNAL OF MATHEMATICS, 3(5), 01-10. https://doi.org/10.53555/m.v3i5.1568
Issue
Vol. 3 No. 5 (2017): IJRDO-Journal of Mathematics
Section
Articles

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