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math.NT2024★ 1 cited
Explicit Analytic Continuation of Euler Products
Brandon Alberts
The generating series of a number of different objects studied in arithmetic statistics can be built out of Euler products. Euler products often have very nice analytic properties,…
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…