3 papers
math.NT2026
A guide to Tauberian theorems for arithmetic applications
Lillian B. Pierce, Caroline L. Turnage-Butterbaugh, Asif Zaman
A Tauberian theorem deduces an asymptotic for the partial sums of a sequence of non-negative real numbers from analytic properties of an associated Dirichlet series. Tauberian theo…
quant-ph2026
Enhancement of non-Markovianity due to environment-induced indirect interaction
Asif Zaman, Muhammad Faryad, Adam Zaman Chaudhry
Non-Markovian effects are often significant when the system-environment coupling is not weak. Indeed, we find that the non-Markovianity is negligible for a single two-level system…
math.NT2024
Moments of random multiplicative functions over function fields
Maximilian C. E. Hofmann, Annemily Hoganson, Siddarth Menon +2
Granville-Soundararajan, Harper-Nikeghbali-Radziwill, and Heap-Lindqvist independently established an asymptotic for the even natural moments of partial sums of random multiplicati…