Proceedings of the 8th General Meeting (EWM’97) held in Trieste, December 12–17, 1997.This is an expository article on p-adic fields. It contains a historical introduction and a construction of the p-adic number field by completion for the p-adic distance overQ. The paper concludes with the Hasse-Minkowski theorem for quadratic forms and the definition of Henselian fields.Depto. de Álgebra, Geometría y TopologíaFac. de Ciencias MatemáticasTRUEpu
In 1928, the Artin-Hasse Exponential E(x) was created and it’s considered an analogue of the exponen...
Abstract. The authors have shown recently that the canonical p-henselian valuation is uniformly ∅-de...
This thesis is concerned with algorithmic investigations in p-adically closed fields, of which Hens...
The p-adic numbers were introduced by K. Hensel [1] in connection with number theory. The absolute ...
Univerzita Karlova v Praze Matematicko-fyzikální fakulta BAKALÁŘSKÁ PRÁCE Richard Dubiel p-adická čí...
This paper will provide an introduction to p-adic numbers and the Hasse Principle. The main topics i...
Absolute values and their completions - like the p-adic number fields- play an important role in num...
Metric properties of some special p-adic series expansions by Arnold Knopfmacher and John Knopfmache...
The field of real numbers is usually constructed using Dedekind cuts. In these thesis we focus on th...
Let k be a non-archimedean field: a field that is complete with respect to a specified nontrivial no...
The Hasse-Minkowski theorem concerns the classification of quadratic forms over global fields (i.e.,...
This thesis gives an account of algebraic and analytic results in the geometric theory of valued fie...
U ovom smo se radu bavili proučavanjem p-adskih brojeva koje je prvi puta opisao njemački matematiča...
The Hasse-Minkowski theorem concerns the classification of quadratic forms over global fields (i.e.,...
Completing Q with respect to this absolute value results in the field of p-adic numbers, denoted Q p...
In 1928, the Artin-Hasse Exponential E(x) was created and it’s considered an analogue of the exponen...
Abstract. The authors have shown recently that the canonical p-henselian valuation is uniformly ∅-de...
This thesis is concerned with algorithmic investigations in p-adically closed fields, of which Hens...
The p-adic numbers were introduced by K. Hensel [1] in connection with number theory. The absolute ...
Univerzita Karlova v Praze Matematicko-fyzikální fakulta BAKALÁŘSKÁ PRÁCE Richard Dubiel p-adická čí...
This paper will provide an introduction to p-adic numbers and the Hasse Principle. The main topics i...
Absolute values and their completions - like the p-adic number fields- play an important role in num...
Metric properties of some special p-adic series expansions by Arnold Knopfmacher and John Knopfmache...
The field of real numbers is usually constructed using Dedekind cuts. In these thesis we focus on th...
Let k be a non-archimedean field: a field that is complete with respect to a specified nontrivial no...
The Hasse-Minkowski theorem concerns the classification of quadratic forms over global fields (i.e.,...
This thesis gives an account of algebraic and analytic results in the geometric theory of valued fie...
U ovom smo se radu bavili proučavanjem p-adskih brojeva koje je prvi puta opisao njemački matematiča...
The Hasse-Minkowski theorem concerns the classification of quadratic forms over global fields (i.e.,...
Completing Q with respect to this absolute value results in the field of p-adic numbers, denoted Q p...
In 1928, the Artin-Hasse Exponential E(x) was created and it’s considered an analogue of the exponen...
Abstract. The authors have shown recently that the canonical p-henselian valuation is uniformly ∅-de...
This thesis is concerned with algorithmic investigations in p-adically closed fields, of which Hens...