4 papers
Products of point counts of higher genus curves over finite fields
Alina Bucur, Kiran S. Kedlaya, Arshay Sheth
Let be an elliptic curve and for each prime , let denote the number of points of modulo . The original version of the conjecture of Birch and Swinnert…
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.…
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'…
Power-saving error terms for the number of -quartic extensions over a number field ordered by discriminant
Alina Bucur, Alexandra Florea, Allechar Serrano López +1
We study the asymptotic count of dihedral quartic extensions over a fixed number field with bounded norm of the relative discriminant. The main term of this count (including a summ…