Nathan McNew

activity

20122026

most citedRadically weakening the Lehmer and Carmichael conditions

5 citations · 12 across the 18 of their papers we have counts for

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Showing 2023 · math.NTShow all

2 papers · 2 filters

math.NT2023

Short Interval Results For Powerfree Polynomials Over Finite Fields

Angel Kumchev, Nathan McNew, Ariana Park

Let $k \geq 2$ be an integer and $F_{q}$ be a finite field with $q$ elements. We prove several results on the distribution in short intervals of polynomials in $\mathbb F_q[x…

math.NT2023

The distribution of intermediate prime factors

Nathan McNew, Paul Pollack, Akash Singha Roy

Let $P^{(\frac{1}{2})} (n)$ denote the middle prime factor of $n$ (taking into account multiplicity). More generally, one can consider, for any $α \in (0, 1)$ , the $α$ -positio…