- Journal Details
- Format
- Journal
- eISSN
- 2309-5377
- First Published
- 30 Dec 2013
- Publication timeframe
- 2 times per year
- Languages
- English

#### Search

- Open Access

The Seventh International Conference on Uniform Distribution Theory (UDT 2021)

Published Online: 31 May 2022Page range: i - ii

#### Abstract

- Open Access

Bounds on the size of Progression-Free Sets in ℤ_{m}^{n}

_{m}

^{n}

Page range: 1 - 10

#### Abstract

In this note we give an overview of the currently known best lower and upper bounds on the size of a subset of ℤ^{n}_{m}

#### Keywords

- progression-free sets
- cap set problem
- polynomial method

#### MSC 2010

- 11B25
- 05D99

- Open Access

Products of Integers with Few Nonzero Digits

Page range: 11 - 28

#### Abstract

Let

in odd integer variables

#### Keywords

- sum of digits
- digital expansion
- factors

#### MSC 2010

- Primary: 11A63
- Secondary: 11B83

- Open Access

On a Class of Lacunary Almost Newman Polynomials Modulo P and Density Theorems

Page range: 29 - 54

#### Abstract

The reduction modulo _{β}_{p}_{p}

#### Keywords

- lacunary integer polynomial
- zeroes
- factorization
- Lehmer’s problem
- Chebotarev density theorem
- Frobenius density theorem
- number of zeroes modulo

#### MSC 2010

- 11C08
- 11R09
- 11R45
- 12E05
- 13P05

#### Abstract

Defined by Borel, a real number is normal to an integer base

#### Keywords

- normal numbers
- de Bruijn sequences
- combinatorics on words

#### MSC 2010

- 11K16
- 05C45
- 68R15

#### Abstract

Fix a positive integer _{i}_{i}_{n}

#### Keywords

- normal numbers
- digit frequencies
- regular linear transformations

#### MSC 2010

- 11K16

- Open Access

On Some Properties of Irrational Subspaces

Page range: 89 - 104

#### Abstract

In this paper, we discuss some properties of completely irrational subspaces. We prove that there exist completely irrational subspaces that are badly approximable and, moreover, sets of such subspaces are winning in different senses. We get some bounds for Diophantine exponents of vectors that lie in badly approximable subspaces that are completely irrational; in particular, for any vector ^{d}

#### Keywords

- badly approximable matrices
- completely irrational subspaces
- ()-games

#### MSC 2010

- 11J13

- Open Access

Density of Oscillating Sequences in the Real Line

Page range: 105 - 130

#### Abstract

In this paper we study the density in the real line of oscillating sequences of the form

More precisely, when

#### Keywords

- Diophantine approximation
- oscillating sequences
- irrationality measure
- continued fractions
- Ostrowski expansion

#### MSC 2010

- 11J70
- 11J82
- 11B05