Continued fractions and Catalan problems.
Continued fractions and class number two.
Continued fractions and density results for Dedekind sums.
Continued fractions and the Gauss map.
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 and transformations of integer sequences.
Continued fractions, Fibonacci numbers, and some classes of irrational numbers.
Continued fractions for finite sums
Continued fractions for some algebraic numbers.
Continued Fractions for Some Alternating Series.
Continued fractions, multidimensional diophantine approximations and applications
This paper is a brief review of some general Diophantine results, best approximations and their applications to the theory of uniform distribution.
Continued fractions of Laurent series with partial quotients from a given set
Continued fractions of period five and real quadratic fields of class number one
Continued Fractions of Transcendental Numbers
Continued fractions on the Heisenberg group
We provide a generalization of continued fractions to the Heisenberg group. We prove an explicit estimate on the rate of convergence of the infinite continued fraction and several surprising analogs of classical formulas about continued fractions.
Continued fractions with sequences of partial quotients over the field of Laurent series
Continuity Properties of Voronoi Domains.
Continuous Cohomology and p-Adic Galois Representations.
Continuous fractions and reduced algebraic formal power series. (Fractions continues et séries formelles algébriques réduites.)
Continuous functions on compact subsets of local fields