Abstract
Let be nonzero rational numbers whose product is a square, and let be the diagonal quartic surface in defined by . We prove that if contains a rational point that does not lie on any of the lines on or on any of the coordinate planes, then the set of rational points on is dense in both the Zariski topology and the real analytic topology.
Citation
Adam Logan. David McKinnon. Ronald van Luijk. "Density of rational points on diagonal quartic surfaces." Algebra Number Theory 4 (1) 1 - 20, 2010. https://doi.org/10.2140/ant.2010.4.1
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