2 papers
math.NT2026
Counting number fields using multiple Dirichlet series
Brandon Alberts, Alina Bucur
We provide a method for counting number fields of fixed Galois group ordered by arbitrary inertial invariants using analytic techniques from the study of multiple Dirichlet series.…
math.NT2025
Frobenius sign separation for abelian varieties
Alina Bucur, Francesc Fité, Kiran S. Kedlaya
Let A and A' be nonzero abelian varieties defined over a number field k such that Hom(A,A')=0. Under the Generalized Riemann hypothesis for motivic L-functions attached to A and A'…