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math.NT2024
Local solubility of a family of ternary conics over a biprojective base I
Cameron Wilson
Let be binary quadratic forms. We provide upper bounds for the number of rational points $(u,v)\in\mathbb{P}^1(\mathbb{Q})\times\mathbb{P}^1(\mathbb{Q})…
math.NT2024
Higher Moments for Polynomial Chowla
Cameron Wilson
Let be the Liouville function. We study the distribution of \[ \frac{1}{x^{1/2}}\sum_{x\leq n\leq 2x}λ(f(n)) \] over random polynomials of fixed degree and coefficie…
math.NT2024★ 1 cited
Asymptotics For Local Solubility Of Diagonal Quadrics Over A Split Quadric Surface
Cameron Wilson
We prove asymptotics for the density of everywhere locally soluble diagonal quadric surfaces parameterised by rational points on the split quadric surface which do…