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arXiv · 1708.07317

On the error term of a lattice counting problem, II

Olivier Bordellès
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Abstract

Under the Riemann Hypothesis, we improve the error term in the asymptotic formula related to the counting lattice problem studied in a first part of this work. The improvement comes from the use of Weyl's bound for exponential sums of polynomials and a device due to Popov allowing us to get an improved main term in the sums of certain fractional parts of polynomials.

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Olivier Bordellès. 2017-08-24. On the error term of a lattice counting problem, II. https://arxiv.org/abs/1708.07317

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