S. Xiao

activity

20152023

most citedOn the representation of integers by binary forms

11 citations · 60 across the 23 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021★ 1 cited

Prime values of $f (a, b^{2})$ and $f (a, p^{2})$ , $f$ quadratic

Stanley Yao Xiao

We prove an asymptotic formula for primes of the shape $f (a, b^{2})$ with $a, b$ integers and of the shape $f (a, p^{2})$ with $p$ prime. Here $f$ is a binary quadratic form with integer c…

math.NT2021★ 3 cited

Heights and quantitative arithmetic on stacky curves

Brett Nasserden, Stanley Yao Xiao

In this paper we investigate a family of algebraic stacks, the so-called stacky curves, in the context of the general theory of heights on algebraic stacks due to Ellenberg, Satria…

Prime values of f(a,b2) and f(a,p2), f quadratic

Heights and quantitative arithmetic on stacky curves

Prime values of $f (a, b^{2})$ and $f (a, p^{2})$ , $f$ quadratic