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On the Solvability of Two Simultaneous Symmetric Cubic Diophantine Equations with Applications to Sextic Diophantine Equations
This paper provides a necessary and sufficient condition for the solvability of the simultaneous diophantine equations C 1 (x,y) = C 1 (u,v) and C 2 (x,y) = C 2 (u,v) where C i (x,y), i = 1,2, are arbitrary binary cubic forms. If the forms C i (x,y) have …