A Generalization of the Gauss-Kuzmin-Wirsing constant

Abstract

We generalize the result of Wirsing on Gauss transformation to the generalized tranformation $T_p(x)=\{\frac{p}{x}\}$ for any positive integer $p$. We give an estimate for the generalized Gauss-Kuzmin-Wirsing constant.

arXiv comment12 pages

References in corpus (2)

• Transfer operator for the Gauss' continued fraction map. I. Structure of the eigenvalues and trace formulas
• A Generalization of Gauss-Kuzmin-Lévy Theorem

Cited by in corpus (1)

• Errata and Addenda to Mathematical Constants