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Normes p -adiques et extensions quadratiques

Christophe Cornut (2009)

Annales de l’institut Fourier

On classifie les orbites de H sur l’immeuble de Bruhat-Tits de G pour trois paires sphériques ( G , H ) de groupes p -adiques classiques.

On the closed subfields of [...] Q ¯   p Q ¯ ˜ p

Sever Achimescu, Victor Alexandru, Corneliu Stelian Andronescu (2016)

Open Mathematics

Let p be a prime number, and let [...] Q¯ p Q ¯ ˜ 𝐩 be the completion of Q with respect to the pseudovaluation w which extends the p-adic valuation vp. In this paper our goal is to give a characterization of closed subfields of [...] Q¯ p Q ¯ ˜ 𝐩 , the completion of Q with respect w, i.e. the spectral extension of the p-adic valuation vp on Q.

Rational base number systems for p-adic numbers

Christiane Frougny, Karel Klouda (2012)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

This paper deals with rational base number systems for p-adic numbers. We mainly focus on the system proposed by Akiyama et al. in 2008, but we also show that this system is in some sense isomorphic to some other rational base number systems by means of finite transducers. We identify the numbers with finite and eventually periodic representations and we also determine the number of representations of a given p-adic number.

Rational base number systems for p-adic numbers

Christiane Frougny, Karel Klouda (2012)

RAIRO - Theoretical Informatics and Applications

This paper deals with rational base number systems for p-adic numbers. We mainly focus on the system proposed by Akiyama et al. in 2008, but we also show that this system is in some sense isomorphic to some other rational base number systems by means of finite transducers. We identify the numbers with finite and eventually periodic representations and we also determine the number of representations of a given p-adic number.

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