5 papers
Continued Fractions and Irrationality Measures for Chowla--Selberg Gamma Quotients
Henri Cohen, Wadim Zudilin
We give 39 rapidly convergent continued fractions for Chowla--Selberg gamma quotients, and deduce good irrationality measures for 20 of them, including for $\operatorname{CS}(-3)=(…
Continued Fractions of Polynomial Type: Theory and Encyclopedic Dictionary
Henri Cohen
After giving a number of properties of continued fractions of polynomial type, in particular focusing on convergence properties and Bauer-Muir-Apéry acceleration techniques, we gi…
A Database of Continued Fractions of Polynomial Type
Henri Cohen
We describe a database of 1883 continued fractions with polynomial coefficients, of which more than 1600 are new, both for interesting constants and for transcendental functions, a…
Variations on a theme of Apéry
Henri Cohen, Wadim Zudilin
Apéry's remarkable discovery of rapidly converging continued fractions with small coefficients for and has led to a flurry of important activity in an incredible v…
Polynomial Continued Fractions for Algebraic Numbers
Henri Cohen
Our main result is that any real cubic algebraic number has a continued fraction expansion with polynomial coefficients. Some generalizations are mentioned.