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Article Dans Une Revue p-Adic Numbers, Ultrametric Analysis and Applications Année : 2015

Survey and additional properties on the transcendence order over Q p in C p.

Alain Escassut
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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
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Dates et versions

hal-01918228 , version 1 (10-11-2018)

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  • HAL Id : hal-01918228 , version 1

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Alain Escassut. Survey and additional properties on the transcendence order over Q p in C p.. p-Adic Numbers, Ultrametric Analysis and Applications, 2015. ⟨hal-01918228⟩
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