A Remark on Kitaoka formal power series attached to local densities.
Anisotropic forms modulo p²
Binomial expansions modulo prime powers.
Diagonal equations of different degrees over p-adic fields
Diagonal forms of prime degree p in a P-adic ring
Formes cubiques sur les corps locaux
Forms over p-adic fields
Géométrie des nombres -adiques
Gruppendeterminant
Integral representations over local fields and the number of genera of quadratic forms
Linear Spaces on the Intersection of Cubic Hypersurfaces.
Normes -adiques et extensions quadratiques
On classifie les orbites de sur l’immeuble de Bruhat-Tits de pour trois paires sphériques de groupes -adiques classiques.
On Cubic Polynomials II. Multiple Exponential Sums.
On Cubic Polynomials III. Systems of p-adic Equations.
On self-similar subgroups in the sense of IFS
In this paper, we first give several properties with respect to subgroups of self-similar groups in the sense of iterated function system (IFS). We then prove that some subgroups of -adic numbers are strong self-similar in the sense of IFS.
On the closed subfields of [...] Q ¯ p
Let p be a prime number, and let [...] 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 , the completion of Q with respect w, i.e. the spectral extension of the p-adic valuation vp on Q.
On zeros of diagonal forms over p-adic fields
On zeros of forms over local fields
Rational base number systems for p-adic numbers
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
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.