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arxiv: 1705.08714 · v1 · pith:ZFNKOUPJnew · submitted 2017-05-24 · 🧮 math.NT

On the error term of a lattice counting problem

classification 🧮 math.NT
keywords countingerrorsomeanalyticboundscoupledestimatesexponential
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We improve the error terms of some estimates related to counting lattices from recent work of L. Fukshansky, P. Guerzhoy and F. Luca (2017). This improvement is based on some analytic techniques, in particular on bounds of exponential sums coupled with the use of Vaaler polynomials.

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