Abstract :
This paper deals with the problem of finding non-zero distinct integer solutions to the non-homogeneous sextic equation with five unknowns given by . xy(x+y)=4(z+R)w^5
Keywords :
integer solutions., Non-homogeneous Sextic, Sextic with five unknownsReferences :
- E.Dickson., History of theory of numbers, vol.11, Chelsea publishing company, Newyork (1952).
- J.Mordell., Diophantine equations, Academic press, London (1969).
- D.Carmichael , The theory of numbers and Diophantine analysis, Dover publications, Newyork (1959)
- G.Telang , Number Theory, Tata MC Graw Hill Publishing Company, New Delhi (1996)
- A.Gopalan, Manju Somanath and N.Vanitha., Parametric Solutions of , ActaCiencia Indica XXXIII, vol.3, 1083-1085, (2007)
- A.Gopalan , G.Sangeetha , On the Sextic Equations with three unknowns Impact J.Sci.tech, Vol.4, No: 4, 89-93, (2010)
- A.Gopalan ,A.Vijayashankar, Integral solutions of the Sextic Equation , Indian journal of Mathematics and Mathematical Sciences, Vol.6, No:2, 241-245, (2010)
- Gopalan, M.A., Vidhyalakshmi, S., Vijayashankar, A., Integral Solutions of Non-Homogeneous Sextic equation , Impact J.Sci..tech, Vol.6, No: 1, 47-52, (2012)
- A.Gopalan.,S. Vidyalakshmi , K.Lakshmi , Integral Solutions of Sextic Equation with Five unknowns , IJERST, 1(10), 562-564, (2012)
- A.Gopalan, S.Vidhyalakshmi., K.Lakshmi, On the Non-Homogeneous Sextic Equation , IJAMA, 4(2), 171-173, Dec (2012)
- A.Gopalan , S.Vidhyalakshmi., A.Kavitha., Observations on the Homogeneous Sextic Equation with four unknowns , International Journal of Innovative Research in Science, Engineering and Technology, Vol.2, Issue: 5, 1301-1307, (2013)
- A.Gopalan, , G.Sumathi, S.Vidhyalakshmi , Integral Solutions of Non- homogeneous Sextic Equation with four unknowns , Antarctica J.Math, 10(6), 623-629, (2013)
- A.Gopalan ,G. Sumathi.,S. Vidhyalakshmi, Integral Solutions of Sextic Non-Homogeneous Equation with Five unknowns , International Journal of Engineering Research, Vol.1, Issue.2, 146-150, (2013)
- A. Gopalan, G. Sumathi and S. Vidhyalakshmi, “Integral Solutions of ” interms of Generalised Fibonacci and Lucas Sequences, Diophantus J. Math., 2(2), 71-75, (2013).
- A. Gopalan, S. Vidhyalakshmi and K. Lakshmi, “Integral Solutions of the Sextic equation with five unknowns ” International Journal of Scientific and research Publications, Vol.4, issue.7, (July-2014).
- A. Gopalan, S. Vidhyalakshmi and A. Kavitha, “Integral Solutions of the Sextic equation with three unknowns ”, International Journal of Innovation Sciences and Research, Vol.4, No:7, 323-328, (July-2015).
- A.Gopalan, S.Aarthy Thangam., A.Kavitha, ., “On Non-homogeneous Sextic equation with five unknowns ” , Jamal Academic Research Journal (JARJ) , special Issue, 291-295, (ICOMAC- 2015).
- Meena., S.Vidhyalakshmi,S. Aarthy Thangam, “On Non-homogeneous Sextic equation with five unknowns ”, Bulletin of Mathematics and Statistics Research, Vol.5, Issue.2, 45-50, (2017).
- Vidhyalakshmi .,M.A. Gopalan .,S. Aarthy Thangam , “On Non-homogeneous Sextic equation with five unknowns ” , Asian Journal of Applied Science and Technology (AJAST), Volume 1, Issue 6, 45-47, (July 2017).
- Vidhyalakshmi ,S. Aarthy Thangam ,G. Dhanalakshmi ., “On sextic equation with five unknowns ”, IJSRP, 7(8), 22-30, (August 2017).
- Thiruniraiselvi, M.A.Gopalan,Observations on the Sextic Equation with three unknowns , International Journal Of Mathematics, Statistics And Operations Research ,Volume 1; Number 2;,Pp. 93-98 ,2021.
- Shanthi , S.Vidhyalakshmi , M.A.Gopalan , On Finding Integer Solutions to Sextic Equation with Three Unknowns ,The Ciencia and Engenharia-Science and Engineering Journal ,11(1) ,350-355 ,2023.
- Shanthi ,M.A.Gopalan ,On Finding Integer Solutions to Sextic Equation with Three Unknowns ,IJSET ,11(4) ,2023.
- Shanthi ,M.A.Gopalan ,On Non-homogeneous Sextic Equation with Three Unknowns ,IJRPR , 4(7) ,1984-1988 ,2023.