4 papers · 1 filter
On two forms in many variables of different degrees
Kiseok Yeon
In this paper, we investigate integral solutions satisfying the system of two forms in many variables of different degrees. Let and be natural numbers with $d_2>d_1\geq…
On weighted forms in many variables
Daniel Flores Galiote, Kiseok Yeon
In this paper, we introduce several novel approaches utilizing the circle method to obtain the asymptotic formula for the number of integral points of bounded height lying on a hyp…
On the density of rational lines on diagonal cubic hypersurfaces, II
Scott Parsell, Kiseok Yeon
In this paper, we establish the expected asymptotic formula for the number of rational lines on a diagonal cubic hypersurface in 18 or more variables, improving on recent work of t…
On the density of rational lines on diagonal cubic hypersurfaces
Kiseok Yeon
In this paper, we establish the asymptotic estimates for the rational lines on diagonal cubic hypersurfaces defined by with $c_i\in\mathbb{Z}\setminus \{0\…