Jeremy Schlitt

collaborators

4 papers

math.NT2026

Integers divisible by a shifted prime in a given interval

Rebecca Abi Abdallah, Valeriya Kovaleva, Jeremy Schlitt +1

In this paper we study the behaviour of $H^{*} (x, y, z)$ , the number of integers less than $x$ possessing a divisor in the interval $(y, z]$ of the form $p - 1$ , where $p$ is a prime, for…

math.NT2026

Random Multiplicative Functions with Periodic Weights

Jeremy Schlitt

Given a Steinhaus random multiplicative function $f$ , a $1$ -periodic function of bounded variation $g$ , and an irrational number $α$ , we study the distribution of $\sum_{n=1}^N f(n…

math.NT2026

Multiplication Tables for Integers with Restricted Prime Factors

Jeremy Schlitt

Let $Q$ be a set of primes with relative density $δ$ . We count integers in $[1, x]$ with prime factors all in $Q$ that also have a divisor in $(y, 2 y]$ . We establish the order of mag…

math.NT2023

Biases Towards the Zero Residue Class for Quadratic Forms in Arithmetic Progressions

Jeremy Schlitt

We examine a bias towards the zero residue class for the integers represented by binary quadratic forms. In many cases, we are able to prove that the bias comes from a secondary te…