On solving non-homogeneous ternary higher degree diophantine equation
DOI :
https://doi.org/10.5269/bspm.79157Résumé
The non-homogeneous ternary higher degree Diophantine equation given by is analyzed for its patterns of non-zero distinct integral solutions.
Références
1. L.E. Dickson, History of Theory of Numbers, vol 2, Chelsea publishing company, New York, (1952).
2. L.J. Mordell, Diophantine Equations, Academic press, London, (1969).
3. R.D. Carmichael, The theory of numbers and Diophantine analysis, New York, Dover, (1959).
4. S.G. Telang. Number theory ,Tata Mc Graw Hill publishing company, NewDelhi . 1996
5. J.Shanthi , M.A.Gopalan , On finding Integer Solutions to Binary Quintic Equation x2 − xy2 = y5, International Research Journal of Education and Technology, Vol.6(10), Pg.226-231, 2024.
6. J.Shanthi ,M.A.Gopalan , On finding Integer Solutions to Binary Quintic Equation x2 − xy2 = y4 + y5,International Journal of Advanced Research in Science ,Engineering and Technology, Vol.11(10), Pg.22369-22372, 2024.
7. J.Shanthi ,M.A.Gopalan , On the Ternary Non-homogeneous QuinticEquation x2 + 5y2 = 2z5, International Journal of Research Publication and Reviews,Vol.4(8), Pg.329-332,2023.
8. M. A. Gopalan, S. Vidhyalakshmi, J. Shanthi, ” The non-homogeneous quintic equation with five unknowns x4 −y4 + 2k ô€€€ x2 + y2 (x − y + k) = ô€€€ a2 + b2 ô€€€ z2 − w2 p3n, open journal of applied and theoretical mathematics, Vol-2,(3), Pg.08-13, Sep 2016.
9. J.Shanthi ,M.A.Gopalan , Delineation of Integer Solutions to Non-Homogeneous Quinary Quintic Diophantine Equation = 2 + 87T5, International Journal of Research Publication and Reviews,Vol. 4(9),Pg. 1454-1457 , 2023.
10. J.Shanthi ,M.A.Gopalan , On the Non-homogeneous Quinary Quintic Equation x4 + y4 − (x + y)w3 = 14z2T3, International Research Journal of Education and Technology ,Vol.05(08), Pg.238-245, 2023.
2. L.J. Mordell, Diophantine Equations, Academic press, London, (1969).
3. R.D. Carmichael, The theory of numbers and Diophantine analysis, New York, Dover, (1959).
4. S.G. Telang. Number theory ,Tata Mc Graw Hill publishing company, NewDelhi . 1996
5. J.Shanthi , M.A.Gopalan , On finding Integer Solutions to Binary Quintic Equation x2 − xy2 = y5, International Research Journal of Education and Technology, Vol.6(10), Pg.226-231, 2024.
6. J.Shanthi ,M.A.Gopalan , On finding Integer Solutions to Binary Quintic Equation x2 − xy2 = y4 + y5,International Journal of Advanced Research in Science ,Engineering and Technology, Vol.11(10), Pg.22369-22372, 2024.
7. J.Shanthi ,M.A.Gopalan , On the Ternary Non-homogeneous QuinticEquation x2 + 5y2 = 2z5, International Journal of Research Publication and Reviews,Vol.4(8), Pg.329-332,2023.
8. M. A. Gopalan, S. Vidhyalakshmi, J. Shanthi, ” The non-homogeneous quintic equation with five unknowns x4 −y4 + 2k ô€€€ x2 + y2 (x − y + k) = ô€€€ a2 + b2 ô€€€ z2 − w2 p3n, open journal of applied and theoretical mathematics, Vol-2,(3), Pg.08-13, Sep 2016.
9. J.Shanthi ,M.A.Gopalan , Delineation of Integer Solutions to Non-Homogeneous Quinary Quintic Diophantine Equation = 2 + 87T5, International Journal of Research Publication and Reviews,Vol. 4(9),Pg. 1454-1457 , 2023.
10. J.Shanthi ,M.A.Gopalan , On the Non-homogeneous Quinary Quintic Equation x4 + y4 − (x + y)w3 = 14z2T3, International Research Journal of Education and Technology ,Vol.05(08), Pg.238-245, 2023.
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Publié
2025-11-01
Numéro
Rubrique
Conf. Issue: Advances in Nonlinear Analysis and Applications
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