Irreducible disjoint covering systems
Kennzeichnung von Mengen mit einer additiven Minimaleigenschaft.
Le p-pliage de papier
Minimal ideals and cancellation in ßN.
Necessary condition for the existence of an incongruent covering system with odd moduli
Non-repetitive tilings.
(Non-)weakly mixing operators and hypercyclicity sets
We study the frequency of hypercyclicity of hypercyclic, non–weakly mixing linear operators. In particular, we show that on the space , any sublinear frequency can be realized by a non–weakly mixing operator. A weaker but similar result is obtained for or , . Part of our results is related to some Sidon-type lacunarity properties for sequences of natural numbers.
Notiz über einen elementaren Algorithmus.
O řadách s nezápornými členy
On a certain class of arithmetic functions
A homothetic arithmetic function of ratio is a function such that for every . Periodic arithmetic funtions are always homothetic, while the converse is not true in general. In this paper we study homothetic and periodic arithmetic functions. In particular we give an upper bound for the number of elements of in terms of the period and the ratio of .
On a problem of Diophantus
On a problem of Erdös and Graham.
On a problem of R.L.Graham
On a theorem of Erdös and Fuchs
On covering systems on rings
On exactly covering systems of congruences having moduli occurring at most twice
On guessing whether a sequence has a certain property.
On integers with many small prime factors
On m times covering systems of congruences
On pseudoprimes having special forms and a solution of K. Szymiczek’s problem
We use the properties of -adic integrals and measures to obtain general congruences for Genocchi numbers and polynomials and tangent coefficients. These congruences are analogues of the usual Kummer congruences for Bernoulli numbers, generalize known congruences for Genocchi numbers, and provide new congruences systems for Genocchi polynomials and tangent coefficients.