These are notes from the minicourse given by Umberto Zannier (Scuola Normale Superiore di Pisa). The notes were worked out by Laura Capuano, Peter Jossen,1 Christina Karolus, and Francesco Veneziano. Most of the material of these lectures, except for the numerical examples which were added by us, is already available in [45], The authors wish to thank Umberto Zannier for the lively discussions in Alpbach, and Olaf Merkert for providing computations of the examples 3.17, 3.28, 3.29, 3.33, and 3.25
This thesis consists of two parts. In the first part an elliptic generalisation of the Bernoulli pol...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
English translation of the paper: "De Fractionibus Continuis Dissertatio" by Leonhard Euler.Article ...
These are notes from the minicourse given by Umberto Zannier (Scuola Normale Superiore di Pisa). The...
These are notes from the minicourse given by Umberto Zannier (Scuola Normale Superiore di Pisa). Th...
For a complex polynomial D(t) of even degree, one may define the continued fraction of D(t). This wa...
Rational approximations to a square root $\sqrt{k}$ can be produced by iterating the transformation ...
Includes bibliographical references.The Diophantine equation, x² - Dy² = N, where D and N are known ...
350 years ago in Spring of 1655 Sir William Brouncker on a request by John Wallis obtained a beautif...
The topic of Pell’s Equation and Continued Fractions has a long history spanning thou-sands of years...
AbstractWe show that the universal continued fraction of the Stieltjes-Jacobi type is equivalent to ...
We study a generalization of Pell's equation, whose coefficients are certain algebraic integers. Let...
The purpose of this thesis is to show that the Pellian sequence possesses a great deal of symmetry a...
The classical theory of real continued fractions has a nearly perfect analogue in the function field...
ABSTRACT. When Euler first worked with continued fractions, by 1731, the subject consisted of a few ...
This thesis consists of two parts. In the first part an elliptic generalisation of the Bernoulli pol...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
English translation of the paper: "De Fractionibus Continuis Dissertatio" by Leonhard Euler.Article ...
These are notes from the minicourse given by Umberto Zannier (Scuola Normale Superiore di Pisa). The...
These are notes from the minicourse given by Umberto Zannier (Scuola Normale Superiore di Pisa). Th...
For a complex polynomial D(t) of even degree, one may define the continued fraction of D(t). This wa...
Rational approximations to a square root $\sqrt{k}$ can be produced by iterating the transformation ...
Includes bibliographical references.The Diophantine equation, x² - Dy² = N, where D and N are known ...
350 years ago in Spring of 1655 Sir William Brouncker on a request by John Wallis obtained a beautif...
The topic of Pell’s Equation and Continued Fractions has a long history spanning thou-sands of years...
AbstractWe show that the universal continued fraction of the Stieltjes-Jacobi type is equivalent to ...
We study a generalization of Pell's equation, whose coefficients are certain algebraic integers. Let...
The purpose of this thesis is to show that the Pellian sequence possesses a great deal of symmetry a...
The classical theory of real continued fractions has a nearly perfect analogue in the function field...
ABSTRACT. When Euler first worked with continued fractions, by 1731, the subject consisted of a few ...
This thesis consists of two parts. In the first part an elliptic generalisation of the Bernoulli pol...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
English translation of the paper: "De Fractionibus Continuis Dissertatio" by Leonhard Euler.Article ...