Mathematical Research Letters

Volume 30 (2023)

Number 5

Improved discrete restriction for the parabola

Pages: 1375 – 1409

DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n5.a4

Authors

Shaoming Guo (Department of Mathematics, University of Wisconsin, Madison, Wisc., U.S.A.)

Zane Kun Li (Department of Mathematics, North Carolina State University, Raleigh, N.C., U.S.A.)

Po-Lam Yung (Department of Mathematics, The Chinese University of Hong Kong; and Mathematical Sciences Institute, Australian National University, Canberra, Australia)

Abstract

Using ideas from $\href{https://doi.org/10.4171/jems/1295}{[7]}$ and working over $\mathbb{Q}_p$, we show that the discrete restriction constant for the parabola is $O_\varepsilon ((\log M)^{2+\varepsilon})$.

Full Text (PDF format)

Received 6 May 2021

Received revised 6 September 2021

Accepted 11 October 2021

Published 14 May 2024