1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NT2024
Power Savings for Counting (Twisted) Abelian Extensions of Number Fields
Brandon Alberts
We prove significant power savings for the error term when counting abelian extensions of number fields (as well as the twisted version of these results for nontrivial Galois modul…
math.NT2023
Restricting the Splitting Types of a Positive Density Set of Places in Number Field Extensions
Brandon Alberts
We prove necessary and sufficient conditions for a finite group with an ordering of -extensions to satisfy the following property: for every positive density set of places $…
math.NT2023★ 1 cited
A Random Group with Local Data Realizing Heuristics for Number Field Counting
Brandon Alberts
We define a group with local data over a number field as a group together with homomorphisms from decomposition groups . Such groups res…