The field of definition for dynamical systems on
The fields of degree seven over rationals with a normal basis generated by a unit
The finite subgroups of maximal arithmetic kleinian groups
Given a maximal arithmetic Kleinian group , we compute its finite subgroups in terms of the arithmetic data associated to by Borel. This has applications to the study of arithmetic hyperbolic 3-manifolds.
The Fourier expansion of Epstein's zeta function for totally real algebraic number fields and some consequences for Dedekind's zeta function
The Fourier expansion of Epstein's zeta function over an algebraic number field and its consequences for algebraic number theory
The functor for the ring of integers of a number field
The Galois Group of a Radical Extension of the Rationals.
The Galois group of the tangency problem for plane curves.
The Galois group of
The Galois module of a twisted element in the -th cyclotomic field
The Galois module structure of algebraic integer rings in fields with generalised quaternion group
The Galois structure of S-units
The Galois sturcture of the square root of the inverse different.
The genera representing a positive integer
The genus class group I
The genus of curves over finite fields with many rational points.
The Genus of Maximal Function Fields over Finite Fields.
The GL2 main conjecture for elliptic curves without complex multiplication
Let G be a compact p-adic Lie group, with no element of order p, and having a closed normal subgroup H such that G/H is isomorphic to Zp. We prove the existence of a canonical Ore set S* of non-zero divisors in the Iwasawa algebra Λ(G) of G, which seems to be particularly relevant for arithmetic applications. Using localization with respect to S*, we are able to define a characteristic element for every finitely generated Λ(G)-module M which has the property that the quotient of M by its p-primary...
The group of automorphisms of algebraic function fields.
The growth of Iwasawa invariants in a family