Ober­sem­in­ar "Num­ber The­ory and Arith­met­ic­al Stat­ist­ics": Dr. Fa­bi­an Gund­lach (Pader­born), Count­ing abeli­an ex­ten­sions of num­ber fields

Location: A3.339
Organizer: Prof. Dr. Jürgen Klüners

Titel: Counting abelian extensions of number fields

Abstract: We will count abelian extensions of number fields with bounded discriminant or product of ramified primes. This was first done by David Wright [1], but we will stay a bit closer to a rephrased and simplified proof by Melanie Matchett Wood [2].

[1] doi.org/10.1112/plms/s3-58.1.17
[2] doi.org/10.1112/S0010437X0900431X