Sam Porritt

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20172020

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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 $max_{θ \in [0, 1)} \sum_{n \leq x} μ (n) e (n θ) ≪_{ε} x^{3/4 + ε}$ …

math.NT2017

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…

math.NT2017

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 $F_{q} [X]$ of degree $n$ with pr…

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

Irreducible polynomials over a finite field with restricted coefficients

The function field Sathé-Selberg formula in arithmetic progressions and `short intervals'

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