Open AccessOn a Property of Non Liouville Numbers
Author(s) -
Jean–Marie De Koninck,
Imre Kátai
Publication year - 2015
Publication title -
acta cybernetica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.143
H-Index - 18
eISSN - 2676-993X
pISSN - 0324-721X
DOI - 10.14232/actacyb.22.2.2015.6
Subject(s) - modulo , mathematics , sequence (biology) , combinatorics , polynomial , property (philosophy) , degree (music) , real number , discrete mathematics , mathematical analysis , physics , chemistry , philosophy , epistemology , biochemistry , acoustics
Let α be a non Liouville number and let fx=α xr +ar-1xr-1 + ... + a1x+a0 ∈ℝ[x] be a polynomial ofpositive degree r. We consider the sequence ynn≧1 definedby yn=fhn, where h belongs to a certain family of arithmeticfunctions and show that ynn≧1 is uniformly distributedmodulo 1.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom