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In recent years, starting with the paper [B-D-S], we have investigated the possibility of characterizing countable subgroups of the torus $T = R / Z$ by subsets of $Z$ . Here we consider new types of subgroups: let $K \subseteq T$ be a Kronecker set (a compact set on which every continuous function $f : K \to T$ can be uniformly approximated by characters of $T$ ), and $G$ the group generated by $K$ . We prove (Theorem 1) that $G$ can be characterized by a subset of $Z^{2}$ (instead of a subset of $Z$ ). If $K$ is finite, Theorem 1 implies our earlier result...

Comparing the distribution of (nα)-sequences

Christoph Baxa (2000)

Acta Arithmetica

Complex dimensions of self-similar fractal strings and Diophantine approximation.

Lapidus, Michel L., van Frankenhuysen, Machiel (2003)

Experimental Mathematics

Comportement local des fonctions à série de Fourier lacunaire

Michel Bruneau (1976)

Acta Arithmetica

Comportement local des fonctions et approximation sur le tore

Michel Bruneau (1974/1975)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Compound Nonlinear Congruential Pseudorandom Numbers.

J. Eichenauer-Herrmann (1994)

Monatshefte für Mathematik

Concentration function of additive functions on shifted twin primes

Simon Wong (1998)

Acta Arithmetica

Concentration function of additive functions on shifted twin primes

Simon Wong (1998)

Acta Arithmetica

0. Introduction. The content of this paper is part of the author's Ph.D. thesis. The two new theorems in this paper provide upper bounds on the concentration function of additive functions evaluated on shifted γ-twin prime, where γ is any positive even integers. Both results are generalizations of theorems due to I. Z. Ruzsa, N. M. Timofeev, and P. D. T. A. Elliott.

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$C$ -uniform distribution of entire functions

Calculation of improper integrals using uniformly distributed sequences

Cantor series constructions of sets of normal numbers

Capacity of Sets and Uniform Distribution of Sequences.

Caractérisation des ensembles normaux

Caractérisation des ensembles normaux

Caractérisation des ensembles normaux dans Z. Erratum

Caractérisation des ensembles normaux substitutifs.

Cesàro means related to the square of the divisor function

Characterizations of groups generated by Kronecker sets

Comparing the distribution of (nα)-sequences

Complex dimensions of self-similar fractal strings and Diophantine approximation.

Comportement local des fonctions à série de Fourier lacunaire

Comportement local des fonctions et approximation sur le tore

Compound Nonlinear Congruential Pseudorandom Numbers.

Concentration function of additive functions on shifted twin primes

Concentration function of additive functions on shifted twin primes

Connectedness of number theoretic tilings.

Construction d'une suite complètement équirépartie modulo 1. Applications

Construction of minimal bracketing covers for rectangles.

Currently displaying 1 – 20 of 39