C. Demeter

activity

20052026

most citedProof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three

60 citations · 151 across the 48 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

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 $n \geq 2$ .

math.CA2020

On the refined Strichartz estimates

Ciprian Demeter

We present a slightly simpler proof of the multilinear refined Strichartz estimate, and prove a slightly more general linear refined Strichartz estimate. Our arguments seek to clar…

math.CA2020

The failure of the fractal uncertainty principle for the Walsh--Fourier transform

Ciprian Demeter

We construct $δ$ -regular sets with $δ \geq \frac{1}{2}$ for which the analog of the Bourgain--Dyatlov Fractal Uncertainty Principle fails for the Walsh--Fourier transform.

Sharp lp-improving estimates for the discrete paraboloid

On the refined Strichartz estimates

The failure of the fractal uncertainty principle for the Walsh--Fourier transform

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