TY - JOUR
T1 - The Mayer-Erdös phenomenon
AU - Zaharescu, Alexandru
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2006/3/27
Y1 - 2006/3/27
N2 - Two rational numbers r and r′ are said to be similarly ordered if r = a/q, r′ = a′/q′, gcd(a, q) = gcd(a′, q′) = 1, and (a - a′) (q - q′) ≥ 0. We investigate the problem of similar ordering of chains of consecutive Farey fractions.
AB - Two rational numbers r and r′ are said to be similarly ordered if r = a/q, r′ = a′/q′, gcd(a, q) = gcd(a′, q′) = 1, and (a - a′) (q - q′) ≥ 0. We investigate the problem of similar ordering of chains of consecutive Farey fractions.
KW - 11B57
KW - Farey fractions
KW - Similar ordering
UR - http://www.scopus.com/inward/record.url?scp=33746271100&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33746271100&partnerID=8YFLogxK
U2 - 10.1016/S0019-3577(06)80012-1
DO - 10.1016/S0019-3577(06)80012-1
M3 - Article
AN - SCOPUS:33746271100
VL - 17
SP - 147
EP - 156
JO - Indagationes Mathematicae
JF - Indagationes Mathematicae
SN - 0019-3577
IS - 1
ER -