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math.NT2010★ 2 cited
The Repulsion Motif in Diophantine Equations
Graham Everest, Thomas Ward
Problems related to the existence of integral and rational points on cubic curves date back at least to Diophantus. A significant step in the modern theory of these equations was m…
math.NT2010★ 2 cited
The Uniform Primality Conjecture for the Twisted Fermat Cubic
Graham Everest, Ouamporn Phuksuwan, Shaun Stevens
On the twisted Fermat cubic, an elliptic divisibility sequence arises as the sequence of denominators of the multiples of a single rational point. We prove that the number of prime…