2 citations · 4 across the 4 of their papers we have counts for
8 papers
The density of rational points on with three stacky points
Brett Nasserden, Stanley Yao Xiao
In this paper we consider the density of rational points on the "stacky" curve which is with three half points, with res…
Density of power-free values of polynomials II
Kostadinka Lapkova, Stanley Yao Xiao
In this paper we prove that polynomials of degree , satisfying certain hypotheses, take on the expected density of…
A stratification result for an exponential sum modulo
Kostadinka Lapkova, Stanley Yao Xiao
In this note we consider algebraic exponential sums over the values of homogeneous nonsingular polynomials in the quotient ri…
Uniformity of fibres of period mappings and the -unit equation
Brett Nasserden, Stanley Yao Xiao
In this paper we give a refinement of the method introduced by Lawrence and Venkatesh and thereby showing that their proof of Mordell's conjecture is uniform up to a uniform bound…
On the -Pell equation
Erick Knight, Stanley Yao Xiao
Let , where is a primitive root of unity. In this paper we study the distribution of integers for which the norm equation $N_{K(\sqr…
The negative Pell equation
Erick Knight, Stanley Yao Xiao
By applying methods recently developed by A. Smith with regards to Goldfeld's conjecture, we show that the density of square-free integers in for which the negative Pe…