Greatest distance between zeros of integral polynomials
Greatest prime divisors of polynomial values over function fields
For a function field K and fixed polynomial F ∈ K[x] and varying f ∈ F (under certain restrictions) we give a lower bound for the degree of the greatest prime divisor of F(f) in terms of the height of f, establishing a strong result for the function field analogue of a classical problem in number theory.
Greedy and lazy representations in negative base systems
We consider positional numeration systems with negative real base , where , and study the extremal representations in these systems, called here the greedy and lazy representations. We give algorithms for determination of minimal and maximal -representation with respect to the alternate order. We also show that both extremal representations can be obtained as representations in the positive base with a non-integer alphabet. This enables us to characterize digit sequences admissible as greedy...
Greenberg's conjecture and cyclotomic towers
Greenberg’s conjecture for -extensions
Green's sumset problem at density one half
Green-Tao theorem in function fields
Greither's maximal independent system of units in global function fields
Gross’ conjecture for extensions ramified over four points of
In this paper, under a mild hypothesis, we prove a conjecture of Gross for the Stickelberger element of the maximal abelian extension over the rational function field unramified outside a set of four degree-one places.
Große Differenzen zwischen aufeinanderfolgenden Primzahlen.
Große Faktoren in der Klassengruppe algebraischer Zahlkörper
Grothendieck and Witt groups in the reduced theory of quadratic forms
Abstract. Let F be a formally real field. Denote by G(F) and the Grothen-dieck group of quadratic forms over F and its torsion subgroup, respectively. In this paper we study the structure of the factor group . This reduced Grothendieck group is a free Abelian group. The main results of the paper describe some sets of generators for , which in many cases allow us to find a basis for the group. Throughout the paper we use the language of the reduced theory of quadratic forms. In the final part...
Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group.
Group laws and rings with normal bases.
Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
Groupe de Galois de la p-extension abélienne p-ramifiée maximale d'un corps de nombres.
Groupe de Selmer d'une courbe elliptique à multiplication complexe
Groupe des classes de l'algèbre d'un groupe métacyclique.
Groupe des classes projectives d’un ordre de dans l’algèbre du groupe diédral d’ordre sur
Groupe des points de Weierstrass sur une famille de quartiques lisses