Irrationality measures for continued fractions with arithmetic functions

Let f(n) or the base-2 logarithm of f(n) be either d(n) (the divisor function), ?(n) (the divisor-sum function), ?(n) (the Euler totient function), ?(n) (the number of distinct prime factors of n) or ?(n) (the total number of prime factors of n). We present good lower bounds for |M/N ? ?| in terms o...

Full description

Saved in:
Bibliographic Details
Published inPublications de l'Institut mathématique (Belgrade) Vol. 97; no. 111; pp. 139 - 148
Main Authors Hancl, Jaroslav, Leppälä, Kalle
Format Journal Article
LanguageEnglish
Published 2015
Online AccessGet full text

Cover

More Information
Summary:Let f(n) or the base-2 logarithm of f(n) be either d(n) (the divisor function), ?(n) (the divisor-sum function), ?(n) (the Euler totient function), ?(n) (the number of distinct prime factors of n) or ?(n) (the total number of prime factors of n). We present good lower bounds for |M/N ? ?| in terms of N, where ? = [0; f(1), f(2),...]. nema
ISSN:0350-1302
1820-7405
DOI:10.2298/PIM140618001H