6 citations · 15 across the 5 of their papers we have counts for
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Character sums over products of prime polynomials
Samuel Porritt
We study sums of Dirichlet characters over polynomials in with a prescribed number of irreducible factors. Our main results are explicit formulae for these sums i…
Residue races of the number of prime divisors function
Sam Porritt
We investigate the distribution of the function , the number of distinct prime divisors of , in residue classes modulo for natural numbers greater than 2. In parti…
A note on exponential-Möbius sums over
Sam Porritt
In 1991, Baker and Harman proved, under the assumption of the generalized Riemann hypothesis, that …
Irreducible polynomials over a finite field with restricted coefficients
Sam Porritt
We prove a function field analogue of Maynard's result about primes with restricted digits. That is, for certain ranges of parameters n and q, we prove an asymptotic formula for th…
The function field Sathé-Selberg formula in arithmetic progressions and `short intervals'
Ardavan Afshar, Sam Porritt
We use a function field analogue of a method of Selberg to derive an asymptotic formula for the number of (square-free) monic polynomials in of degree with pr…