B. Alberts

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20232025

most citedExplicit Analytic Continuation of Euler Products

1 citations · 1 across the 5 of their papers we have counts for

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math.NT2025

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields

Brandon Alberts

Given a Dirichlet series $L (s) = \sum a_{n} n^{- s}$ , the asymptotic growth rate of $\sum_{n \leq X} a_{n}$ can be determined by a Tauberian theorem. Bounds on the error term are typicall…

math.NT2025

Inductive methods for counting number fields

Brandon Alberts, Robert J. Lemke Oliver, Jiuya Wang +1

We give a new method for counting extensions of a number field asymptotically by discriminant, which we employ to prove many new cases of Malle's Conjecture and counterexamples to…