B. Langowski

most citedSharp

l^{p}

-improving estimates for the discrete paraboloid

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.DS2021

Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres

Alex Iosevich, Bartosz Langowski, Mariusz Mirek +1

We establish an asymptotic formula for the number of lattice points in the sets \[ \mathbf S_{h_1, h_2, h_3}(λ): =\{x\in\mathbb Z_+^3:\lfloor h_1(x_1)\rfloor+\lfloor h_2(x_2)\rfloo…

math.CA2021

Restriction of exponential sums to hypersurfaces

Ciprian Demeter, Bartosz Langowski

We prove moment inequalities for exponential sums with respect to singular measures, whose Fourier decay matches those of curved hypersurfaces. Our emphasis will be on proving esti…

math.CA2020★ 1 cited

Sharp $l^{p}$ -improving estimates for the discrete paraboloid

Shival Dasu, Ciprian Demeter, Bartosz Langowski

We prove $l^{p}$ -improving estimates for the averaging operator along the discrete paraboloid in the sharp range of $p$ in all dimensions $n \geq 2$ .

Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres

Restriction of exponential sums to hypersurfaces

Sharp lp-improving estimates for the discrete paraboloid

Sharp $l^{p}$ -improving estimates for the discrete paraboloid