Devon Rhodes

collaborators

2 papers

math.NT2019

Explicit bounds for small prime nonresidues

Shilin Ma, Kevin J. McGown, Devon Rhodes +1

Let $χ$ be a Dirichlet character modulo a prime~ $p$ . We give explicit upper bounds on $q_{1} < q_{2} < \dots < q_{n}$ , the $n$ smallest prime nonresidues of $χ$ . More precisely, given $n_{0}$ an…

math.NT2019

On the number of primes for which a polynomial is Eisenstein

Shilin Ma, Kevin McGown, Devon Rhodes +1

Previously Heyman and Shparlinski gave an asymptotic formula with error term for the number of Eisenstein polynomials of fixed degree and bounded height. Let $ψ (f)$ denote the numb…