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

collaborators

Showing 2021 · math.CAShow all

3 papers · 2 filters

math.CA2021

On restriction of exponential sums to hypersurfaces with zero curvature

Ciprian Demeter

We prove essentially sharp bounds for the $L^{p}$ restriction of weighted Gauss sums to monomial curves. Getting the $L^{2}$ upper bound combines the $T T^{*}$ method for matrices with th…

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.CA2021★ 1 cited

On $L^{12}$ square root cancellation for exponential sums associated with nondegenerate curves in $R^{4}$

Ciprian Demeter

We prove sharp $L^{12}$ estimates for exponential sums associated with nondegenerate curves in $R^{4}$ . We place Bourgain's progress on the Lindel"of hypothesis in a larger…

On restriction of exponential sums to hypersurfaces with zero curvature

Restriction of exponential sums to hypersurfaces

On L12 square root cancellation for exponential sums associated with nondegenerate curves in R4

On $L^{12}$ square root cancellation for exponential sums associated with nondegenerate curves in $R^{4}$