2 papers
math.NT2025
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…
math.NT2017
The least unramified prime which does not split completely
Asif Zaman
Let be a finite extension of number fields of degree . We establish effective field-uniform unconditional upper bounds for the least norm of a prime ideal of wh…