A Generalization of the Gauss-Kuzmin-Wirsing constant
Abstract
We generalize the result of Wirsing on Gauss transformation to the generalized tranformation $T_p(x)=\{\cfrac{p}{x}\}$ for any positive integer $p$. We give an estimate for the generalized Gauss-Kuzmin-Wirsing constant.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2017
- DOI:
- arXiv:
- arXiv:1706.04565
- Bibcode:
- 2017arXiv170604565S
- Keywords:
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- Mathematics - Dynamical Systems;
- Mathematics - Number Theory;
- 11J70;
- 11K50;
- 37C30
- E-Print:
- 12 pages