EuDML | Browse

Damey et Payan ont montré que la différence des 4-rangs des groupes des classes d’idéaux des corps quadratiques $Q (\sqrt{a})$ et $Q (\sqrt{- a})$ est majorée par ( $a$ étant positif) : $0 \leq {dim}_{4} H_{Q (\sqrt{- a})} - {dim}_{4} H_{Q (\sqrt{a})} \leq 1 .$ Dans ce papier, l’auteur généralise cette propriété en remplaçant le corps de base $Q$ par un corps de nombres $k$ quelconque. La méthode employée est issue du “Spiegelungssatz” de Leopoldt.

Relations monomiales entre périodes p-adiques.

Roland Gillard (1988)

Inventiones mathematicae

Relative block semigroups and their arithmetical applications

Franz Halter-Koch (1992)

Commentationes Mathematicae Universitatis Carolinae

We introduce relative block semigroups as an appropriate tool for the study of certain phenomena of non-unique factorizations in residue classes. Thereby the main interest lies in rings of integers of algebraic number fields, where certain asymptotic results are obtained.

Relative Bogomolov extensions

Robert Grizzard (2015)

Acta Arithmetica

A subfield K ⊆ ℚ̅ has the Bogomolov property if there exists a positive ε such that no non-torsion point of $K^{\times}$ has absolute logarithmic height below ε. We define a relative extension L/K to be Bogomolov if this holds for points of $L^{\times} ∖ K^{\times}$ . We construct various examples of extensions which are and are not Bogomolov. We prove a ramification criterion for this property, and use it to show that such extensions can always be constructed if some rational prime has bounded ramification index in K.

Relative Brauer Groups. I.

B. Fein, M. Schacher (1981)

Journal für die reine und angewandte Mathematik

Relative Brauer groups. III.

Murray Schacher, Burton Fein (1982)

Journal für die reine und angewandte Mathematik

Relative Galois module structure of integers of abelian fields

Nigel P. Byott, Günter Lettl (1996)

Journal de théorie des nombres de Bordeaux

Let $L / K$ be an extension of algebraic number fields, where $L$ is abelian over $ℚ$ . In this paper we give an explicit description of the associated order $𝒜_{L / K}$ of this extension when $K$ is a cyclotomic field, and prove that $o_{L}$ , the ring of integers of $L$ , is then isomorphic to $𝒜_{L / K}$ . This generalizes previous results of Leopoldt, Chan Lim and Bley. Furthermore we show that $𝒜_{L / K}$ is the maximal order if $L / K$ is a cyclic and totally wildly ramified extension which is linearly disjoint to $ℚ^{(m^{'})} / K$ , where $m^{'}$ is the conductor of $K$ .

Currently displaying 61 – 80 of 127

Previous Page 4 Next

Displaying 61 – 80 of 127

Relations between K2 and Galois Cohomology.

Relations between polynomial roots

Relations between polynomial roots

Relations between the values of zeta and L-functions at integral arguments

Relations congruentielles linéaires entre nombres de classes de corps quadratiques

Relations de distributions et exemples classiques

Relations d'inégalités effectives en théorie algébrique des nombres

Relations entre les 2-groupes de classes d’idéaux des extensions quadratiques $k (\sqrt{d})$ et $k (\sqrt{- d})$

Relations monomiales entre périodes p-adiques.

Relative block semigroups and their arithmetical applications

Relative Bogomolov extensions

Relative Brauer Groups. I.

Relative Brauer groups. III.

Relative Galois module structure of integers of abelian fields

Relative Galois module structure of rings of integers of cyclomatic fields.

Relative integral basis for algebraic number fields.

Relative Kloosterman integrals for GL(3)

Relative norms of units and 4-rank of class groups

Relative Spectral Norm on Algebraic Numbers

Remark on a problem of Schinzel

Currently displaying 61 – 80 of 127