An effective Chebotarev density theorem for families of number fields, with an application to -torsion in class groups
LB Pierce, CL Turnage-Butterbaugh… - Inventiones mathematicae, 2020 - Springer
We prove a new effective Chebotarev density theorem for Galois extensions L/QL/Q that
allows one to count small primes (even as small as an arbitrarily small power of the …
allows one to count small primes (even as small as an arbitrarily small power of the …
Distribution of Frobenius elements in families of Galois extensions
D Fiorilli, F Jouve - Journal of the Institute of Mathematics of Jussieu, 2024 - cambridge.org
Given a Galois extension is Galois and supersolvable, we prove a strong form of a
conjecture of K. Murty on the unramified prime ideal of least norm in a given Frobenius set …
conjecture of K. Murty on the unramified prime ideal of least norm in a given Frobenius set …
The number of ramified primes in number fields of small degree
R Lemke Oliver, F Thorne - Proceedings of the American Mathematical …, 2017 - ams.org
In this paper we investigate the distribution of the number of primes which ramify in number
fields of degree $ d\leq 5$. In analogy with the classical Erdős-Kac theorem, we prove for …
fields of degree $ d\leq 5$. In analogy with the classical Erdős-Kac theorem, we prove for …
The average of the smallest prime in a conjugacy class
Let C be a conjugacy class of and K an-field. Let be the smallest prime, which is ramified or
whose Frobenius automorphism Frob does not belong to C. Under some technical …
whose Frobenius automorphism Frob does not belong to C. Under some technical …