Rational Solutions of Pairs of Diagonal Equations, One Cubic and One Quadratic
نویسنده
چکیده
We obtain an essentially optimal estimate for the moment of order 32/3 of the exponential sum having argument αx + βx. Subject to modest local solubility hypotheses, we thereby establish that pairs of diagonal Diophantine equations, one cubic and one quadratic, possess nontrivial integral solutions whenever the number of variables exceeds 10.
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تاریخ انتشار 2014