Trigonometric Polynomials and Lattice Points

DOI10.2307/2159332zbMath0777.11035OpenAlexW4234388299MaRDI QIDQ4018792

Javier Cilleruelo, Antonio Córdoba

Publication date: 16 January 1993

Full work available at URL: https://doi.org/10.2307/2159332

zbMATH Keywords

circlesdistribution of lattice pointsincomplete Gaussian sumsprecise \(L^ 4\)-asymptotic

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Lattice points in specified regions (11P21)

Related Items

Nodal intersections of random eigenfunctions against a segment on the 2-dimensional torus, Discrete fractional integrals, lattice points on short arcs, and diophantine approximation, Lattice points on hyperbolas, Radial multipliers and restriction to surfaces of the Fourier transform in mixed-norm spaces, Planck-scale mass equidistribution of toral Laplace eigenfunctions, Lattice points, Trigonometric polynomials with frequencies in the set of squares and divisors in a short interval, On the geometry of the nodal lines of eigenfunctions of the two-dimensional torus, Unnamed Item, Restriction of toral eigenfunctions to hypersurfaces and nodal sets, The hyperbola \(xy=N\), Restriction of toral eigenfunctions to totally geodesic submanifolds, A note on distinct distances in rectangular lattices, Lattice points on ellipses, Restriction of toral eigenfunctions to hypersurfaces, Nodal intersections and \(L^p\) restriction theorems on the torus

Cites Work

• Unnamed Item
• The proof of the central limit theorem for theta sums
• A Cantor-Lebesgue theorem for double trigonometric series
• Sur les polynomes associés aux fonctions modulaires