Sam Porritt

activity

20172020

collaborators

3 papers

math.NT2020

Character sums over products of prime polynomials

Samuel Porritt

We study sums of Dirichlet characters over polynomials in $F_{q} [t]$ with a prescribed number of irreducible factors. Our main results are explicit formulae for these sums i…

math.NT2018

Residue races of the number of prime divisors function

Sam Porritt

We investigate the distribution of the function $ω (n)$ , the number of distinct prime divisors of $n$ , in residue classes modulo $q$ for natural numbers $q$ greater than 2. In parti…

math.NT2017

A note on exponential-Möbius sums over $F_{q} [t]$

Sam Porritt

In 1991, Baker and Harman proved, under the assumption of the generalized Riemann hypothesis, that $max_{θ \in [0, 1)} \sum_{n \leq x} μ (n) e (n θ) ≪_{ε} x^{3/4 + ε}$ …

Character sums over products of prime polynomials

Residue races of the number of prime divisors function

A note on exponential-Möbius sums over Fq​[t]

A note on exponential-Möbius sums over $F_{q} [t]$