A GENERALIZATION OF GAUSS-KUZMIN-LÉVY THEOREM

doi:10.1016/S0252-9602(18)30796-3

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (3): 965-972.doi: 10.1016/S0252-9602(18)30796-3

A GENERALIZATION OF GAUSS-KUZMIN-LÉVY THEOREM

孙鹏

China Economics and Management Academy, Central University of Finance and Economics, Beijing 100081, China

收稿日期:2017-05-27 修回日期:2017-08-15 出版日期:2018-06-25 发布日期:2018-06-25
作者简介:Peng SUN,E-mail:sunpeng@cufe.edu.cn
基金资助:
Peng Sun is supported by NSFC (11571387).

A GENERALIZATION OF GAUSS-KUZMIN-LÉVY THEOREM

Peng SUN

China Economics and Management Academy, Central University of Finance and Economics, Beijing 100081, China

Received:2017-05-27 Revised:2017-08-15 Online:2018-06-25 Published:2018-06-25
Supported by:
Peng Sun is supported by NSFC (11571387).

摘要/Abstract

摘要：

We prove a generalized Gauss-Kuzmin-Lévy theorem for the generalized Gauss transformation
T_p (x)={p/x}.
In addition, we give an estimate for the constant that appears in the theorem.

关键词: Gauss transformation, transfer operator, Gauss' problem, Hurwitz zeta function

Abstract:

We prove a generalized Gauss-Kuzmin-Lévy theorem for the generalized Gauss transformation
T_p (x)={p/x}.
In addition, we give an estimate for the constant that appears in the theorem.

Key words: Gauss transformation, transfer operator, Gauss' problem, Hurwitz zeta function

孙鹏. A GENERALIZATION OF GAUSS-KUZMIN-LÉVY THEOREM[J]. 数学物理学报(英文版), 2018, 38(3): 965-972.

Peng SUN. A GENERALIZATION OF GAUSS-KUZMIN-LÉVY THEOREM[J]. Acta mathematica scientia,Series B, 2018, 38(3): 965-972.

A GENERALIZATION OF GAUSS-KUZMIN-LÉVY THEOREM

A GENERALIZATION OF GAUSS-KUZMIN-LÉVY THEOREM

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