3 papers
math.NT2025
An extended Vinogradov's mean value theorem
Changkeun Oh, Kiseok Yeon
In this paper, we provide novel mean value estimates for exponential sums related to the extended main conjecture of Vinogradov's mean value theorem, by developing the Hardy-Little…
math.NT2022
Small fractional parts of binary forms
Kiseok Yeon
We obtain bounds on fractional parts of binary forms of the shape with an…
math.CA2019
Newton polyhedrons and Sobolev estimations
Kiseok Yeon
The aim of this study is to provide a perspective to help understand the singular average operator over polynomial hypersurfaces. In particular, this perspective will provide brevi…