Improved discrete restriction for the parabola
Shaoming Guo, Zane Kun Li, Po‐Lam Yung · Mathematical Research Letters · 2023
Using ideas from [7] and working over Q p , we show that the discrete restriction constant for the parabola is O ε ((log M ) 2+ε ). 1 Introduction 1375 2 Some basic properties of Q q 1378 3 Theorem 1.2 implies Theorem 1.1 1384 4 Setting up many scales for the proof of Theorem 1.2 1386 5 Bilinearization 1387 6 Broad/Narrow decomposition: Proof of Proposition 5.2 1389 7 High/Low decomposition: Proof of Proposition 6.3 1395