| ISSN | 0065-1036 |
Acta Arithmetica
Identifiers
Publisher
Institute of Mathematics Polish Academy of Sciences
Additional information
Publication languages:
English,
French,
German,
Russian
Data set: DML
Articles
article
Acta Arithmetica > 2016 > 174 > 3 > 199-215
In an earlier paper Gyarmati introduced the notion of f-correlation for families of binary pseudorandom sequences as a measure of randomness in the family. In this paper we generalize the f-correlation to families of pseudorandom sequences of k symbols and study its properties.
article
Acta Arithmetica > 2016 > 174 > 3 > 255-276
Let Γ ⊂ ℚ * be a finitely generated subgroup and let p be a prime such that the reduction group Γₚ is a well defined subgroup of the multiplicative group 𝔽ₚ*. We prove an asymptotic formula for the average of the number of primes p ≤ x for which [𝔽ₚ*:Γₚ] = m. The average is taken over all finitely generated subgroups $Γ =⟨a₁,...,a_{r}⟩⊂ ℚ *$, with and $a_{i} ≤ T_{i}$, with a range of uniformity...
article
Acta Arithmetica > 2016 > 174 > 3 > 217-238
The aim of this paper is a new construction of bases of the group of circular units and of the Stickelberger ideal for a family of abelian fields containing all cyclotomic fields, namely for any compositum of imaginary abelian fields, each ramified only at one prime. In contrast to the previous papers on this topic our approach consists in an explicit construction of Ennola relations. This gives an...
