A Remark on Kitaoka formal power series attached to local densities.
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Anisotropic forms modulo p²
Lekbir Chakri, El Mostafa Hanine (2003)
Acta Arithmetica
Binomial expansions modulo prime powers.
Haggard, Paul W., Kiltinen, John O. (1980)
International Journal of Mathematics and Mathematical Sciences
Diagonal equations of different degrees over p-adic fields
Michael P. Knapp (2007)
Acta Arithmetica
Diagonal forms of prime degree p in a P-adic ring
M. Bhaskaran (1972)
Acta Arithmetica
Formes cubiques sur les corps locaux
Yves Pourchet (1965/1966)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Forms over p-adic fields
P. Pleasants (1971)
Acta Arithmetica
Géométrie des nombres -adiques
Georges Rhin (1973/1974)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Gruppendeterminant
Michel Waldschmidt (1971)
Séminaire de théorie des nombres de Bordeaux
Integral representations over local fields and the number of genera of quadratic forms
O. Körner (1973)
Acta Arithmetica
Linear Spaces on the Intersection of Cubic Hypersurfaces.
D.J. Lewis, Rainer Schulze-Pillot (1984)
Monatshefte für Mathematik
Normes -adiques et extensions quadratiques
Christophe Cornut (2009)
Annales de l’institut Fourier
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.
Wolfgang M. Schmidt (1982)
Monatshefte für Mathematik
On Cubic Polynomials III. Systems of p-adic Equations.
Wolfgang M. Schmidt (1982)
Monatshefte für Mathematik
On self-similar subgroups in the sense of IFS
Mustafa Saltan (2018)
Communications in Mathematics
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
Sever Achimescu, Victor Alexandru, Corneliu Stelian Andronescu (2016)
Open Mathematics
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
Yismaw Alemu (1987)
Acta Arithmetica
On zeros of forms over local fields
Yismaw Alemu (1985)
Acta Arithmetica
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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