More on inhomogeneous diophantine approximation
For an irrational real number and real number we consider the inhomogeneous approximation constantvia the semi-regular negative continued fraction expansion of
Motzkin paths and powers of continued fractions.
Multi-continued fraction algorithm on multi-formal Laurent series
Multidimensional Euclidean algorithms.
Multidimensional Gauss reduction theory for conjugacy classes of
In this paper we describe the set of conjugacy classes in the group . We expand geometric Gauss Reduction Theory that solves the problem for to the multidimensional case, where -reduced Hessenberg matrices play the role of reduced matrices. Further we find complete invariants of conjugacy classes in in terms of multidimensional Klein-Voronoi continued fractions.
Multiplication par un entier d'une fraction continue périodique
Multiplication par un entier d'une fraction continue périodique
Newton's formula and the continued fraction expansion of .
Non-converging continued fractions related to the Stern diatomic sequence
Note on a theorem of Rockett and Szusz on a diophantine equation x² - dy² = N
Notes on generalized Dedekind sums
On a problem of Alfréd Rényi
On a quantitative refinement of the Lagrange spectrum
On a theorem of Legendre in the theory of continued fractions
On a theorem of Segre
On an extension of Euler numbers and records of alternating permutations. (Sur une extension des nombres d'Euler et les records des permutations alternantes.)
On approximation by Lüroth series
Let and be its sequence of Lüroth Series convergents. Define the approximation coefficients by . In [BBDK] the limiting distribution of the sequence was obtained for a.e. using the natural extension of the ergodic system underlying the Lüroth Series expansion. Here we show that this can be done without the natural extension. In fact we will prove that for each is already distributed according to the limiting distribution. Using the natural extension we will study the distribution for...
On arithmetic properties of the convergents of Euler's number
On Best Two-Dimensional Dirichlet-Approximations and their Algorithmic Calculation.
On continued fractions and diophantine approximation in power series fields