Concatenations with binary recurrent sequences.
Concordant sequences and integral-valued entire functions
A classic theorem of Pólya shows that the function is the “smallest” integral-valued entire transcendental function. A variant due to Gel’fond applies to entire functions taking integral values on a geometric progression of integers, and Bézivin has given a generalization of both results. We give a sharp formulation of Bézivin’s result together with a further generalization.
Conditions for algebraic independence of certain power series of algebraic numbers
Conditions suffisantes d’équirépartition modulo 1 de suites et
Conditions suffisantes d'équirépartition modulo 1 . Problème de Waring-Golbach pour f (x) == Xc , c non entier.
Conditions suffisantes d’équirépartition modulo . Problème de Waring-Goldbach pour , non entier
Congruence and uniqueness of certain Markoff numbers
Conjecture de Littlewood et récurrences linéaires
Ce travail est essentiellement consacré à la construction d’exemples effectifs de couples de nombres réels à constantes de Markov finies, tels que et soient -linéairement indépendants, et satisfaisant à la conjecture de Littlewood.
Conjecture de Minkowski et la décomposition des matrices
Conjecture de Minkowski sur le corps des complexes
Conjecture de Schanuel sur la transcendance d'exponentielles
Constants for lower bounds for linear forms in the logarithms of algebraic numbers II. The homogeneous rational case
Constants for lower bounds for linear forms in the logarithms of algebraic numbers I. The general case
Construction d'une suite complètement équirépartie modulo 1. Applications
Constructive and non-constructive methods of proofs of irrationality and transcendency and algebraic independence of periods of abelian varieties
Continuants with Bounded Digits - III.
Continued fraction expansions for complex numbers-a general approach
We introduce a general framework for studying continued fraction expansions for complex numbers, and establish some results on the convergence of the corresponding sequence of convergents. For continued fraction expansions with partial quotients in a discrete subring of ℂ an analogue of the classical Lagrange theorem, characterising quadratic surds as numbers with eventually periodic continued fraction expansions, is proved. Monotonicity and exponential growth are established for the absolute values...
Continued fractions and transcendental numbers
The main purpose of this work is to present new families of transcendental continued fractions with bounded partial quotients. Our results are derived thanks to combinatorial transcendence criteria recently obtained by the first two authors in [3].
Continued fractions for some algebraic numbers.
Continued Fractions for Some Alternating Series.