[图书][B] Distribution modulo one and Diophantine approximation
Y Bugeaud - 2012 - books.google.com
This book presents state-of-the-art research on the distribution modulo one of sequences of
integral powers of real numbers and related topics. Most of the results have never before …
integral powers of real numbers and related topics. Most of the results have never before …
On a problem on normal numbers raised by Igor Shparlinski
JM De Koninck, I Katai - Bulletin of the Australian Mathematical …, 2011 - cambridge.org
Given an integer d≥ 2, a d-normal number, or simply a normal number, is an irrational
number whosed-ary expansion is such that any preassigned sequence, of length k≥ 1 …
number whosed-ary expansion is such that any preassigned sequence, of length k≥ 1 …
Construction of -normal sequences
MG Madritsch, B Mance - Monatshefte für Mathematik, 2016 - Springer
In the present paper we extend Champernowne's construction of normal numbers to provide
sequences which are generic for a given invariant probability measure, which need not be …
sequences which are generic for a given invariant probability measure, which need not be …
Computable absolutely Pisot normal numbers
MG Madritsch, AM Scheerer, RF Tichy - arXiv preprint arXiv:1610.06388, 2016 - arxiv.org
arXiv:1610.06388v1 [math.NT] 20 Oct 2016 Page 1 arXiv:1610.06388v1 [math.NT] 20 Oct
2016 COMPUTABLE ABSOLUTELY PISOT NORMAL NUMBERS MANFRED G. MADRITSCH …
2016 COMPUTABLE ABSOLUTELY PISOT NORMAL NUMBERS MANFRED G. MADRITSCH …
Lacunary sequences in analysis, probability and number theory
C Aistleitner, I Berkes, R Tichy - arXiv preprint arXiv:2301.05561, 2023 - arxiv.org
In this paper we present the theory of lacunary trigonometric sums and lacunary sums of
dilated functions, from the origins of the subject up to recent developments. We describe the …
dilated functions, from the origins of the subject up to recent developments. We describe the …
[图书][B] Distribution of Sequences: A Theory
O Strauch - 2019 - musavsrv.mat.savba.sk
DISTRIBUTION OF SEQUENCES: A THEORY Page 1 DISTRIBUTION OF SEQUENCES: A
THEORY Oto Strauch Mathematical Institute of the Slovak Academy of Sciences Štefánikova 49 …
THEORY Oto Strauch Mathematical Institute of the Slovak Academy of Sciences Štefánikova 49 …
Construction of normal numbers by classified prime divisors of integers
JM De Koninck, I Kátai - Functiones et Approximatio Commentarii …, 2011 - projecteuclid.org
Given an integer $ d\ge 2$, a $ d $-{\it normal number}, or simply a {\it normal number}, is a
real number whose $ d $-ary expansion is such that any preassigned sequence, of length …
real number whose $ d $-ary expansion is such that any preassigned sequence, of length …
Some normal numbers generated by arithmetic functions
P Pollack, J Vandehey - Canadian Mathematical Bulletin, 2015 - cambridge.org
Some Normal Numbers Generated by Arithmetic Functions Page 1 Canad. Math. Bull. Vol. 58
(1), 2015 pp. 160–173 http://dx.doi.org/10.4153/CMB-2014-047-2 c Canadian Mathematical …
(1), 2015 pp. 160–173 http://dx.doi.org/10.4153/CMB-2014-047-2 c Canadian Mathematical …
The normality of digits in almost constant additive functions
J Vandehey - Monatshefte für Mathematik, 2013 - Springer
We consider numbers formed by concatenating some of the base b digits from additive
functions f (n) that closely resemble the prime divisor counting function Ω (n). If we …
functions f (n) that closely resemble the prime divisor counting function Ω (n). If we …