Large and Moderate Deviation Principles for Engel Continued Fractions

Lulu Fang (), Min Wu () and Lei Shang ()
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Lulu Fang: South China University of Technology
Min Wu: South China University of Technology
Lei Shang: Anhui University

Journal of Theoretical Probability, 2018, vol. 31, issue 1, 294-318

Abstract: Abstract Large and moderate deviation principles are proved for Engel continued fractions, a new type of continued fraction expansion with non-decreasing partial quotients in number theory.

Keywords: Engel continued fractions; Large deviation; Moderate deviation; 11A55; 60F10 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10959-016-0715-3

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