Bounds on the Norms of Maximal Operators on Weyl Sums

Metric theory of Weyl sums

(2022) Changhao Chen et al.   MATHEMATISCHE ANNALEN

Counterexamples for High-Degree Generalizations of the Schrödinger Maximal Operator

(2022) Chen An et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

On the Glasner property for matrices with polynomial entries

(2022) Igor E. Shparlinski   JOURNAL OF NUMBER THEORY

Glasner Property for Unipotently Generated Group Actions on Tori

(2022) Kamil Bulinski et al.   ISRAEL JOURNAL OF MATHEMATICS

On a hybrid version of the Vinogradov mean value theorem

(2021) C. Chen et al.   ACTA MATHEMATICA HUNGARICA

$$L^p$$ maximal estimates for quadratic Weyl sums

(2021) R. Baker   ACTA MATHEMATICA HUNGARICA

An L4 Maximal Estimate for Quadratic Weyl Sums

(2021) Alex Barron   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Restriction of Exponential Sums to Hypersurfaces

(2021) Ciprian Demeter et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Hybrid Bounds on Two-Parametric Families of Weyl Sums Along Smooth Curves

(2021) Changhao Chen et al.   MICHIGAN MATHEMATICAL JOURNAL

On generating functions in additive number theory, II: lower-order terms and applications to PDEs

(2020) J. Brandes et al.   MATHEMATISCHE ANNALEN

On Bourgain’s Counterexample for the Schrödinger Maximal Function

(2020) Lillian B Pierce   QUARTERLY JOURNAL OF MATHEMATICS

Restricted mean value theorems and the metric theory of restricted Weyl sums

(2020) Changhao Chen et al.   QUARTERLY JOURNAL OF MATHEMATICS

Fractal solutions of dispersive partial differential equations on the torus

(2019) M. B. Erdoğan et al.   Selecta Mathematica-New Series

New Bounds of Weyl Sums

(2019) Changhao Chen et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Nested efficient congruencing and relatives of Vinogradov's mean value theorem

(2018) Trevor D. Wooley   PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

The cubic case of the main conjecture in Vinogradov's mean value theorem

(2016) Trevor D. Wooley   ADVANCES IN MATHEMATICS

Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three

(2016) Jean Bourgain et al.   ANNALS OF MATHEMATICS

Perturbations of Weyl Sums

(2015) Trevor D. Wooley   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

On discrete fractional integral operators and mean values of Weyl sums

(2011) Lillian B. Pierce   BULLETIN OF THE LONDON MATHEMATICAL SOCIETY