Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Radan Kučera"'
Autor:
Radan Kučera, Cornelius Greither
Publikováno v:
manuscripta mathematica. 166:277-286
Special units are a sort of predecessor of Euler systems, and they are mainly used to obtain annihilators for class groups. So one is interested in finding as many special units as possible (actually we use a technical generalization called “semisp
Autor:
Radan Kučera, Cornelius Greither
Publikováno v:
Canadian Journal of Mathematics. 73:1506-1530
The aim of this paper is to study circular units in the compositum K of t cyclic extensions of ${\mathbb {Q}}$ ( $t\ge 2$ ) of the same odd prime degree $\ell $ . If these fields are pairwise arithmetically orthogonal and the number s of primes ramif
Autor:
Radan Kučera
Publikováno v:
Mathematica Slovaca. 68:53-56
This note is devoted to a solution of a problem posed by Ladislav Skula.
Autor:
Radan Kučera, Azar Salami
Publikováno v:
Journal of Number Theory. 163:296-315
This paper constructs a basis and gives a presentation of Sinnott's group of circular units for a real abelian field k ramified at three primes whose genus field K in the narrow sense has cyclic relative Galois group Gal(K/k). It is shown that, for t
Autor:
Radan Kučera, Cornelius Greither
Publikováno v:
Publicationes Mathematicae Debrecen. 86:401-421
The aim of this series of papers is to study cyclic extensions of the field of rational numbers of odd prime power degree. This paper, which is the third of this series, concentrates on the situation where some of the ramified primes are (partially)
Autor:
Hugo Chapdelaine, Radan Kučera
The aim of this paper is to study the group of elliptic units of a cyclic extension $L$ of an imaginary quadratic field $K$ such that the degree $[L:K]$ is a power of an odd prime $p$. We construct an explicit root of the usual top generator of this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e1dd67464ce699ede7eeeadefc25205
http://arxiv.org/abs/1705.10905
http://arxiv.org/abs/1705.10905
Autor:
Cornelius Greither, Radan Kučera
Publikováno v:
Journal of Number Theory. 141:324-342
This paper proves a result concerning linear forms on the Sinnott module. This is perhaps of intrinsic interest, and it is needed in another paper of the same authors. We obtain a congruence which can be interpreted as a strengthening of a congruence
Autor:
Radan Kučera, Cornelius Greither
Publikováno v:
Annales de l’institut Fourier. 64:2165-2203
The aim of this paper is to prove an analog of Gras’ conjecture for an abelian field F and an odd prime p dividing the degree [F:Q] assuming that the p-part of Galois group Gal (F/Q) is cyclic.
Autor:
Michal Bulant, Radan Kučera
Publikováno v:
Journal of Number Theory. 133:3138-3148
For a real abelian field K, Sinnott's group of circular units C_K is a subgroup of finite index in the full group of units E_K playing an important role in Iwasawa theory. Let K_infty/K be the cyclotomic Z(p)-extension of K, and h(Kn) be the class nu
Autor:
Radan Kučera
Publikováno v:
Acta Arithmetica. 143:257-269
Let k be a tamely ramified imaginary compositum of quadratic fields. The aim of the paper is to construct new explicit annihilators of the class group of k not belonging to the Stickelberger ideal. These new annihilators are obtained as quotients of