A Recursive Description of the Maximal Pro-2 Galois Group Via Witt Rings.
A relation between automorphic representations of and
A remark on primitive roots and ramitfication
A representation theorem for a class of rigid analytic functions
Let be a prime number, the field of -adic numbers and the completion of the algebraic closure of . In this paper we obtain a representation theorem for rigid analytic functions on which are equivariant with respect to the Galois group , where is a lipschitzian element of and denotes the -neighborhood of the -orbit of .
A study on the -adic integral representation on associated with Bernstein and Bernoulli polynomials.
A study on the -adic -integral representation on associated with the weighted -Bernstein and -Bernoulli polynomials.
A valuation criterion for normal basis generators of Hopf-Galois extensions in characteristic
Let be a finite extension of discrete valuation rings of characteristic , and suppose that the corresponding extension of fields of fractions is separable and is -Galois for some -Hopf algebra . Let be the different of . We show that if is totally ramified and its degree is a power of , then any element of with generates as an -module. This criterion is best possible. These results generalise to the Hopf-Galois situation recent work of G. G. Elder for Galois extensions.
A weak Néron model with applications to -adic dynamical systems
Abelian extensions of an absolutely unramified local field with general residue field.
Abelian local p-class field theory.
Abelsche p-Erweiterungen ...-adischer Zahlkörper, über denen jedes Einbettungsproblem lösbar ist.
About -adic interpolation of continuous and differentiable functions
Absolute Galois Groups of p-Adically Maximal PpC Fields.
Absolute norms of -primary units
We prove a local analogue of a theorem of J. Martinet about the absolute norm of the relative discriminant ideal of an extension of number fields. The result can be seen as a statement about -primary units. We also prove a similar statement about the absolute norms of -primary units, for all primes .
Abstract class field theory (formatting of modules).
Adeles and differential forms.
Adelic equidistribution, characterization of equidistribution, and a general equidistribution theorem in non-archimedean dynamics
We determine when the equidistribution property for possibly moving targets holds for a rational function of degree more than one on the projective line over an algebraically closed field of any characteristic and complete with respect to a non-trivial absolute value. This characterization could be useful in the positive characteristic case. Based on a variational argument, we give a purely local proof of the adelic equidistribution theorem for possibly moving targets, which is due to Favre and...
Admissible -adic measures attached to triple products of elliptic cusp forms.
Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions.
Algebraic independence of elementary functions and its application to Masser's vanishing theorem.