Page 1

## Displaying 1 – 18 of 18

Showing per page

Acta Arithmetica

### Almost periodic sequences and functions with given values

Archivum Mathematicum

We present a method for constructing almost periodic sequences and functions with values in a metric space. Applying this method, we find almost periodic sequences and functions with prescribed values. Especially, for any totally bounded countable set $X$ in a metric space, it is proved the existence of an almost periodic sequence ${\left\{{\psi }_{k}\right\}}_{k\in ℤ}$ such that $\left\{{\psi }_{k};\phantom{\rule{0.166667em}{0ex}}k\in ℤ\right\}=X$ and ${\psi }_{k}={\psi }_{k+lq\left(k\right)}$, $l\in ℤ$ for all $k$ and some $q\left(k\right)\in ℕ$ which depends on $k$.

Acta Arithmetica

Acta Arithmetica

### Dirichlet series induced by the Riemann zeta-function

Studia Mathematica

The Riemann zeta-function ζ(s) extends to an outer function in ergodic Hardy spaces on ${}^{\omega }$, the infinite-dimensional torus indexed by primes p. This enables us to investigate collectively certain properties of Dirichlet series of the form $\left({a}_{p},s\right)={\prod }_{p}{\left(1-{a}_{p}{p}^{-s}\right)}^{-1}$ for ${a}_{p}$ in ${}^{\omega }$. Among other things, using the Haar measure on ${}^{\omega }$ for measuring the asymptotic behavior of ζ(s) in the critical strip, we shall prove, in a weak sense, the mean-value theorem for ζ(s), equivalent to the Lindelöf hypothesis.

### Distribution of values of a real function: Means, moments, and symmetry.

Manuscripta mathematica

Integers

Acta Arithmetica

### Le théorème ergodique le long d’une suite $q$-multiplicative

Compositio Mathematica

### Mesures spectrales associées à certaines suites arithmétiques

Bulletin de la Société Mathématique de France

### Od funkcí periodických ke skoroperiodickým

Pokroky matematiky, fyziky a astronomie

Semigroup forum

Acta Arithmetica

Acta Arithmetica

### Ramanujan sums and almost periodic functions

Studia Mathematica

### The multiplicative group of rationals generated by the shifted primes, I.

Journal für die reine und angewandte Mathematik

### Une classe d'ensembles d'unicité des séries trigonométriques

Séminaire Delange-Pisot-Poitou. Théorie des nombres

### Universal Spectra and Tijdeman's Conjecture on Factorization of Cyclic Groups.

The journal of Fourier analysis and applications [[Elektronische Ressource]]

Page 1