Elasticity in certain block monoids via the Euclidean table
Elasticity of factorizations in atomic monoids and integral domains
For an atomic domain , its elasticity is defined by : for irreducible . We study the elasticity of one-dimensional noetherian domains by means of the more subtle invariants defined by : for irreducible . As a main result we characterize all orders in algebraic number fields having finite elasticity. On the way, we obtain a series of results concerning the invariants and for monoids and integral domains which are of independent interest.
Elementare Aussagen zur Arithmetik und Galoistheorie von Funktionenkörpern.
Elementare Berechnung der Multiplizitäten n-dimensionaler Spitzen.
Elementary abelian 2-primary parts of K₂𝓞 and related graphs in certain quadratic number fields
Elementary Albeian p-Extensions of Algebraic Function Fields.
Elementary methods in the theory of L-functions, VII. Upperbound for L(1,χ)
Elementary methods in the theory of L-functions, VIII. Real zeros of real L-functions
Éléments algébriques de l’algèbre
Éléments de norme 1 des corps cubiques non galoisiens. Généralisation
Elements of order 4 of the Hilbert kernel in quadratic number fields
Elements of Quaternions [Book]
Elimination theory for the ring of algebraic integers.
Elliptic curves and -extensions
Elliptic curves with complex multiplication and Galois module structure.
Elliptic curves with non-trivial 2-adic Iwasawa μ-invariant
Elliptic units of cyclic unramified extensions of complex quadratic fields
Embedding orders into central simple algebras
The question of embedding fields into central simple algebras over a number field was the realm of class field theory. The subject of embedding orders contained in the ring of integers of maximal subfields of such an algebra into orders in that algebra is more nuanced. The first such result along those lines is an elegant result of Chevalley [6] which says that with the ratio of the number of isomorphism classes of maximal orders in into which the ring of integers of can be embedded...
Ensembles de Julia et propriétés de localisation des entiers algbériques.
Ensembles de nombres algébriques et transformations rationnelles