Scientific presentation in universities or research centers (Scientific presentations in universities or research centers)
On the order of the reductions of algebraic numbers
Sgobba, Pietro


Full Text
Author postprint (370.95 kB)

All documents in ORBilu are protected by a user license.

Send to


Abstract :
[en] Let K be a number field, and let G be a finitely generated and torsion-free subgroup of K*. For almost all primes p of K, we consider the order of the cyclic group (G mod p), and ask whether this number lies in a given arithmetic progression. The density of primes for which this condition holds exists (this generalizes a result of Ziegler from 2006) and it is, under certain assumptions, a computable positive rational number. We also present a uniformity property concerning some special cases. This is a joint work with A. Perucca.
Disciplines :
Author, co-author :
Sgobba, Pietro ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
Title :
On the order of the reductions of algebraic numbers
Publication date :
06 February 2020
Event name :
Seminari de Teoria de Nombres de Barcelona 2020
Event date :
from 03-02-2020 to 07-02-2020
Available on ORBilu :
since 12 February 2020


Number of views
88 (16 by Unilu)
Number of downloads
39 (9 by Unilu)


Similar publications

Contact ORBilu