AbstractExplicit formulae are given relating continued fractions with almost periodic or almost symmetric patterns in their partial quotients, and infinite series whose terms satisfy certain recurrence relations. For quadratic irrationals, the continued fraction expansions for successive approximations given by Newton′s method are described
In the regular case, the continued fraction expansion of a number x is (eventually) periodic if and ...
In this dissertation we investigate prior definitions for p-adic continued fractions and introduce s...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
Continued fractions in mathematics are mainly known due to the need for a more detailed presentation...
This study is an exposition of Section 11.1 to 11.5 of Chapter 11, Continued Fractions of the book N...
In chapter 1 we will give a brief intorduction to continued fractions, and scetch the prove of why q...
Abstract: We propose a new twodimensional generalization of the algorithm for expansion of...
This thesis concerns continued fractions of quadratic irrationals. Their basic properties are shown,...
We explore methods for determining the underlying structure of certain classes of continued fraction...
ABSTRACT. We derive closed form expressions for the continued fractions of powers of certain qua-dra...
Expansion theorem. Every power series (1 · 10) C0 + C1x + C2x2+&ldots;,+Cn xn determines u...
The study of arithmetical continued fractions has been restricted, for the most part, to the investi...
It is widely believed that the continued fraction expansion of every irrational algebraic number $\a...
In this paper, we will first summarize known results concerning contin-ued fractions. Then we will l...
Rational approximations to real numbers have been used from ancient times, either for convenience in...
In the regular case, the continued fraction expansion of a number x is (eventually) periodic if and ...
In this dissertation we investigate prior definitions for p-adic continued fractions and introduce s...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
Continued fractions in mathematics are mainly known due to the need for a more detailed presentation...
This study is an exposition of Section 11.1 to 11.5 of Chapter 11, Continued Fractions of the book N...
In chapter 1 we will give a brief intorduction to continued fractions, and scetch the prove of why q...
Abstract: We propose a new twodimensional generalization of the algorithm for expansion of...
This thesis concerns continued fractions of quadratic irrationals. Their basic properties are shown,...
We explore methods for determining the underlying structure of certain classes of continued fraction...
ABSTRACT. We derive closed form expressions for the continued fractions of powers of certain qua-dra...
Expansion theorem. Every power series (1 · 10) C0 + C1x + C2x2+&ldots;,+Cn xn determines u...
The study of arithmetical continued fractions has been restricted, for the most part, to the investi...
It is widely believed that the continued fraction expansion of every irrational algebraic number $\a...
In this paper, we will first summarize known results concerning contin-ued fractions. Then we will l...
Rational approximations to real numbers have been used from ancient times, either for convenience in...
In the regular case, the continued fraction expansion of a number x is (eventually) periodic if and ...
In this dissertation we investigate prior definitions for p-adic continued fractions and introduce s...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
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