Galois module structure of units in real biquadratic number fields
Galois modules and embedding problems.
Galois representations, embedding problems and modular forms.
To an odd irreducible 2-dimensional complex linear representation of the absolute Galois group of the field Q of rational numbers, a modular form of weight 1 is associated (modulo Artin's conjecture on the L-series of the representation in the icosahedral case). In addition, linear liftings of 2-dimensional projective Galois representations are related to solutions of certain Galois embedding problems. In this paper we present some recent results on the existence of liftings of projective representations...
Galois representations into GL2(Zp[[X]]) attached to ordinary cusp forms.
Galois representations of Iwasawa modules
Galois structure of de Rham cohomology
Galois towers over non-prime finite fields
We construct Galois towers with good asymptotic properties over any non-prime finite field ; that is, we construct sequences of function fields = (N₁ ⊂ N₂ ⊂ ⋯) over of increasing genus, such that all the extensions are Galois extensions and the number of rational places of these function fields grows linearly with the genus. The limits of the towers satisfy the same lower bounds as the best currently known lower bounds for the Ihara constant for non-prime finite fields. Towers with these properties...
Galois-Cohen-Lenstra heuristics
Galoismoduln mit Hasse-Prinzip.
Galoissche Kennzeichnung p-adisch abgeschlossener Körper.
Gauss sums and algebraic cycles
Gauss Sums and Elliptic Functions: II. The Quartic Sum.
Gauss sums for Fq[T].
Gaussian Integers
Gaussian integer is one of basic algebraic integers. In this article we formalize some definitions about Gaussian integers [27]. We also formalize ring (called Gaussian integer ring), Z-module and Z-algebra generated by Gaussian integer mentioned above. Moreover, we formalize some definitions about Gaussian rational numbers and Gaussian rational number field. Then we prove that the Gaussian rational number field and a quotient field of the Gaussian integer ring are isomorphic.
Gaussian primes
Genera of arithmetic Fuchsian groups
Genera of congruence subgroups in Q-quaternion algebras.
Généralisation de la théorie des fractions continues
Généralisation des nombres de Salem aux adèles
Généralisation des suites de Pisot et de Boyd