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math.NT2019
On a generalization of a theorem of Popov
Jing-Jing Huang, Huixi Li
In this paper, we obtain sharp estimates for the number of lattice points under and near the dilation of a general parabola, the former generalizing an old result of Popov. We appl…
math.NT2019
On two lattice points problems about the parabola
Jing-Jing Huang, Huixi Li
We obtain asymptotic formulae with optimal error terms for the number of lattice points under and near a dilation of the standard parabola, the former improving upon an old result…