3 papers
math.NT2025
Better than squareroot cancellation in number theory
Adam J. Harper
We give a short survey of the phenomenon of better than squareroot cancellation, specifically as it applies to averages of multiplicative character sums (such as $\frac{1}{r-1} \su…
math.NT2024
Simple Barban--Davenport--Halberstam type asymptotics for general sequences
Adam J. Harper
We prove two estimates for the Barban--Davenport--Halberstam type variance of a general complex sequence in arithmetic progressions. The proofs are elementary, and our estimates ar…
math.NT2024
Moments of random multiplicative functions, III: A short review
Adam J. Harper
We give a short review of recent progress on determining the order of magnitude of moments of random multiplicative functions, and of closel…