Survey and additional properties on the transcendence order over Q p in C p.
Résumé
The paper is aimed at recalling the notion of transcendence order over l Q p and its main properties. Proofs are more detailed than in the paper published in Journal of Number Theory. The main results: the order always is ≥ 1 and we construct a number b that is of order 1 + for every > 0. If a is of order ≤ t and if b is transcendental over l Q p but algebraic over l Q p (a), then b is of order ≤ t too. Finally, numbers of infinite order are constructed. Introduction and results
Domaines
Théorie des nombres [math.NT]
Origine : Fichiers produits par l'(les) auteur(s)
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