Integral Solutions of the Ternary Diophantine Equation 945(x2 +y2)−1889xy + 10(x+y) + 100 = pzq.

K Manikandan, R Venkatraman - … International Journal of …, 2023 - search.ebscohost.com
This article introduces a new equation of the form 945 (x²+ y²) âˆ'1889xy+ 10 (x+ y)+ 100=
pz< sup> q and explores its solution by gradually changing the parameter< sup> q from 1 to …

The ternary cubic equation of the integral solutions 5(x2 + y2) - 6xy + 4(x + y + 1) = 6100Z3

K Manikandan, R Venkatraman - American Institute of …, 2023 - ui.adsabs.harvard.edu
This study examines the Diophantine equation 5 (x 2+ y 2)-6xy+ 4 (x+ y+ 1)= 6100Z 3, which
is a non-homogeneous cubic equation with three unknowns. A few remarkable polygonal …

[PDF][PDF] Integral Solutions of the Quintic Equation with Five Unknowns (x3− y3

S Muthuvel, R Venkatraman - AIP Conference Proceedings, 2023 - researchgate.net
Number theory is the" Queen of Mathematics". The Diophantine equation is one of the topics
in number theory that deals with the solution of that equation in integers. A Diophantine …

Solution for heptic equation in Z* with five unknowns 4(X3-Y3) - 4(X2+Y2)+Z3-W3=2+31p7

R Venkatraman… - American Institute of …, 2022 - ui.adsabs.harvard.edu
Solution for heptic equation in Z* with five unknowns 4(X<SUP>3</SUP>-Y<SUP>3</SUP>) -
4(X<SUP>2</SUP>+Y<SUP>2</SUP>)+Z<SUP>3</SUP>-W<SUP>3</SUP>=2+31p<SUP>7</SUP> …