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On the error term of a lattice counting problem

Research paper by Olivier Bordellès, Florian Luca; Igor E. Shparlinski

Indexed on: 24 Nov '17Published on: 26 Sep '17Published in: Journal of Number Theory



Abstract

Publication date: January 2018 Source:Journal of Number Theory, Volume 182 Author(s): Olivier Bordellès, Florian Luca, Igor E. Shparlinski 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.