Add to ORKGWe investigate an old number-theoretical problem by Mahler. Using beta-expansions and p-adic valuations we obtain some new results. An important extension on a theorem on periodicity concerning expansions with algebraic base is proven.Applied mathematicsElectrical Engineering, Mathematics and Computer Scienc
$p$-adic continued fractions, as an extension of the classical concept of classical continued fracti...
AbstractWe study α-adic expansions of numbers, that is to say, left infinite representations of numb...
In chapter 1 we will give a brief intorduction to continued fractions, and scetch the prove of why q...
AbstractIn 1940, K. Mahler presented a geometric algorithm which, for any P-adic integer ζ, yields a...
Approximation lattices occur in a natural way in the study of rational approximations to p-adic numb...
AbstractApproximation lattices occur in a natural way in the study of rational approximations to p-a...
A problem of Mahler on farctional parts of powers of an algebraic number is solved, namely a classif...
The theory of continued fractions has been generalized to $ \ell $-adic numbers by several authors a...
Abstract. For a prime p and an integer x, the p-adic valuation of x is denoted by νp(x). For a polyn...
The theory of continued fractions has been generalized to ℓ-adic numbers by several authors and pres...
Głównym tematem pracy są liczby p-adyczne oraz charakteryzacja okresowości/nieograniczoności ciągu w...
AbstractTo count the number of periodic points ofu(x) brings in very delicate questions about automo...
The arithmetic partial derivative (with respect to a prime $p$) is a function from the set of intege...
summary:We study a family of quasi periodic $p$-adic Ruban continued fractions in the $p$-adic field...
The classical theory of continued fractions has been widely studied for centuries for its important ...
$p$-adic continued fractions, as an extension of the classical concept of classical continued fracti...
AbstractWe study α-adic expansions of numbers, that is to say, left infinite representations of numb...
In chapter 1 we will give a brief intorduction to continued fractions, and scetch the prove of why q...
AbstractIn 1940, K. Mahler presented a geometric algorithm which, for any P-adic integer ζ, yields a...
Approximation lattices occur in a natural way in the study of rational approximations to p-adic numb...
AbstractApproximation lattices occur in a natural way in the study of rational approximations to p-a...
A problem of Mahler on farctional parts of powers of an algebraic number is solved, namely a classif...
The theory of continued fractions has been generalized to $ \ell $-adic numbers by several authors a...
Abstract. For a prime p and an integer x, the p-adic valuation of x is denoted by νp(x). For a polyn...
The theory of continued fractions has been generalized to ℓ-adic numbers by several authors and pres...
Głównym tematem pracy są liczby p-adyczne oraz charakteryzacja okresowości/nieograniczoności ciągu w...
AbstractTo count the number of periodic points ofu(x) brings in very delicate questions about automo...
The arithmetic partial derivative (with respect to a prime $p$) is a function from the set of intege...
summary:We study a family of quasi periodic $p$-adic Ruban continued fractions in the $p$-adic field...
The classical theory of continued fractions has been widely studied for centuries for its important ...
$p$-adic continued fractions, as an extension of the classical concept of classical continued fracti...
AbstractWe study α-adic expansions of numbers, that is to say, left infinite representations of numb...
In chapter 1 we will give a brief intorduction to continued fractions, and scetch the prove of why q...