P. Pollack

activity

20152026

most citedAnatomy of torsion in the CM case

3 citations · 9 across the 14 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

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…

math.NT2023

Densities of integer sets represented by quadratic forms

Pete L. Clark, Paul Pollack, Jeremy Rouse +1

Let $f (t_{1}, \dots, t_{n})$ be a nondegenerate integral quadratic form. We analyze the asymptotic behavior of the function $D_{f} (X)$ , the number of integers of absolute value up to $X$ …

math.NT2023

Two problems on the distribution of Carmichael's lambda function

Paul Pollack

Let $λ (n)$ denote the exponent of the multiplicative group modulo $n$ . We show that when $q$ is odd, each coprime residue class modulo $q$ is hit equally often by $λ (n)$ as $n$ var…

math.NT2023★ 3 cited

Distribution in coprime residue classes of polynomially-defined multiplicative functions

Paul Pollack, Akash Singha Roy

An integer-valued multiplicative function $f$ is said to be polynomially-defined if there is a nonconstant separable polynomial $F (T) \in Z [T]$ with $f (p) = F (p)$ for all pri…