6 citations · 6 across the 4 of their papers we have counts for
5 papers · 1 filter
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 , the number of integers less than possessing a divisor in the interval of the form , where is a prime, for…
Random Multiplicative Functions with Periodic Weights
Jeremy Schlitt
Given a Steinhaus random multiplicative function , a -periodic function of bounded variation , and an irrational number , we study the distribution of $\sum_{n=1}^N f(n…
Multiplication Tables for Integers with Restricted Prime Factors
Jeremy Schlitt
Let be a set of primes with relative density . We count integers in with prime factors all in that also have a divisor in . We establish the order of mag…
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…
Lemke Oliver and Soundararajan bias for consecutive sums of two squares
Chantal David, Lucile Devin, Jungbae Nam +1
In a surprising recent work, Lemke Oliver and Soundararajan noticed how experimental data exhibits erratic distributions for consecutive pairs of primes in arithmetic progressions,…