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Displaying 41 – 60 of 101

A remark on primitive roots and ramitfication

victor S. Albis González (1973)

Revista colombiana de matematicas

A representation theorem for a class of rigid analytic functions

Victor Alexandru, Nicolae Popescu, Alexandru Zaharescu (2003)

Journal de théorie des nombres de Bordeaux

Let $p$ be a prime number, $ℚ_{p}$ the field of $p$ -adic numbers and $ℂ_{p}$ the completion of the algebraic closure of $ℚ_{p}$ . In this paper we obtain a representation theorem for rigid analytic functions on $𝐏^{1} (ℂ_{p}) ∖ C (t, ϵ)$ which are equivariant with respect to the Galois group $G = G a l_{c o n t} (ℂ_{p} / ℚ_{p})$ , where $t$ is a lipschitzian element of $ℂ_{p}$ and $C (t, ϵ)$ denotes the $ϵ$ -neighborhood of the $G$ -orbit of $t$ .

A study on the $p$ -adic integral representation on $ℤ_{p}$ associated with Bernstein and Bernoulli polynomials.

Jang, Lee-Chae, Kim, Won-Joo, Simsek, Yilmaz (2010)

Advances in Difference Equations [electronic only]

A study on the $p$ -adic $q$ -integral representation on $ℤ_{p}$ associated with the weighted $q$ -Bernstein and $q$ -Bernoulli polynomials.

Kim, T., Bayad, A., Kim, Y.-H. (2011)

Journal of Inequalities and Applications [electronic only]

A valuation criterion for normal basis generators of Hopf-Galois extensions in characteristic $p$

Nigel P. Byott (2011)

Journal de Théorie des Nombres de Bordeaux

Let $S / R$ be a finite extension of discrete valuation rings of characteristic $p > 0$ , and suppose that the corresponding extension $L / K$ of fields of fractions is separable and is $H$ -Galois for some $K$ -Hopf algebra $H$ . Let $𝔻_{S / R}$ be the different of $S / R$ . We show that if $S / R$ is totally ramified and its degree $n$ is a power of $p$ , then any element $ρ$ of $L$ with $v_{L} (ρ) \equiv - v_{L} (𝔻_{S / R}) - 1 (mod n)$ generates $L$ as an $H$ -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 $p$ -adic dynamical systems

Liang-Chung Hsia (1996)

Compositio Mathematica

Abelian extensions of an absolutely unramified local field with general residue field.

Masato Kurihara (1988)

Inventiones mathematicae

Abelian local p-class field theory.

Ivan B. Fesenko (1995)

Mathematische Annalen

Abelsche p-Erweiterungen ...-adischer Zahlkörper, über denen jedes Einbettungsproblem lösbar ist.

Volker Diekert (1981)

Journal für die reine und angewandte Mathematik

About $p$ -adic interpolation of continuous and differentiable functions

Stefaan Caenepeel (1981/1982)

Groupe de travail d'analyse ultramétrique

Absolute Galois Groups of p-Adically Maximal PpC Fields.

Ido Efrat (1991)

Forum mathematicum

Absolute norms of $p$ -primary units

Supriya Pisolkar (2009)

Journal de Théorie des Nombres de Bordeaux

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 $2$ -primary units. We also prove a similar statement about the absolute norms of $p$ -primary units, for all primes $p$ .

Abstract class field theory (formatting of modules).

Ershov, Yu.L. (2004)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Adeles and differential forms.

Reinhold Hübl (1996)

Journal für die reine und angewandte Mathematik

Adelic equidistribution, characterization of equidistribution, and a general equidistribution theorem in non-archimedean dynamics

Yûsuke Okuyama (2013)

Acta Arithmetica

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...

Currently displaying 41 – 60 of 101