- Dettagli della rivista
- Formato
- Rivista
- eISSN
- 2309-5377
- Pubblicato per la prima volta
- 30 Dec 2013
- Periodo di pubblicazione
- 2 volte all'anno
- Lingue
- Inglese

#### Cerca

- Open Access

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

Pubblicato online: 31 May 2022Pagine: i - ii

#### Astratto

- Open Access

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

_{m}

^{n}

Pagine: 1 - 10

#### Astratto

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}

#### Parole chiave

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

#### MSC 2010

- 11B25
- 05D99

- Open Access

#### Products of Integers with Few Nonzero Digits

Pagine: 11 - 28

#### Astratto

Let

in odd integer variables

#### Parole chiave

- 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

Pagine: 29 - 54

#### Astratto

The reduction modulo _{β}_{p}_{p}

#### Parole chiave

- 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

#### Astratto

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

#### Parole chiave

- normal numbers
- de Bruijn sequences
- combinatorics on words

#### MSC 2010

- 11K16
- 05C45
- 68R15

#### Astratto

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

#### Parole chiave

- normal numbers
- digit frequencies
- regular linear transformations

#### MSC 2010

- 11K16

#### Astratto

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}

#### Parole chiave

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

#### MSC 2010

- 11J13

- Open Access

#### Density of Oscillating Sequences in the Real Line

Pagine: 105 - 130

#### Astratto

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

More precisely, when

#### Parole chiave

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

#### MSC 2010

- 11J70
- 11J82
- 11B05