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math.NT2022
Equidistribution for Solutions of , and for Châtelet Surfaces
D. R. Heath-Brown
We present a general method for handling problems that ask for the equidistribution of solutions to equations involving , and illustrate it by considering .
math.NT2022
The Distribution of Rational Points on Conics
D. R. Heath-Brown
We examine the counting function for rational points on conics, and show how the point where the asymptotic behaviour begins depends on the size of the smallest zero.