The statistics of the continued fraction digit sum

DOI10.2140/pjm.2000.192.103zbMath1015.11038OpenAlexW2084930537MaRDI QIDQ1568912

Doug Hensley

Publication date: 22 June 2000

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2000.192.103

zbMATH Keywords

weak convergencearithmetic meanlimit theoremLebesgue measurepartial quotientstable distribution functionregular continued fraction expansion

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Metric theory of continued fractions (11K50)

Related Items (7)

Classical and almost sure local limit theorems ⋮ Marcinkiewicz laws with infinite moments ⋮ From infinite ergodic theory to number theory (and possibly back) ⋮ LARGE DEVIATION ASYMPTOTICS FOR CONTINUED FRACTION EXPANSIONS ⋮ A distributional limit law for the continued fraction digit sum ⋮ A LOCAL LIMIT THEOREM FOR CONTINUED FRACTIONS ⋮ Large deviation principle for arithmetic functions in continued fraction expansion

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