The law of large numbers for the sum of the partial quotients of a rational number with fixed denominator

DOI10.1134/S0001434611090100zbMath1283.11143OpenAlexW1988541144MaRDI QIDQ2435788

M. G. Rukavishnikova

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611090100

zbMATH Keywords

Riemann zeta functionMöbius functionlaw of large numberscontinued fractionEuler functionpartial quotientrational number

Mathematics Subject Classification ID

Continued fractions (11A55) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Arithmetic functions in probabilistic number theory (11K65)

Related Items

A probability estimate for the discrepancy of Korobov lattice points ⋮ Finding binary words with a given number of subsequences ⋮ On the distribution of partial quotients of reduced fractions with fixed denominator ⋮ Popular products and continued fractions

Cites Work

• On the statistical properties of finite continued fractions
• Analysis of the subtractive algorithm for greatest common divisors
• Unnamed Item
• Unnamed Item
• Unnamed Item