Search
Search Results
-
Solution of a general version of Armacost's problem on topologically torsion elements
We consider an extended version of Armacost’s problem of “description of topologically torsion elements” of the circle group and describe...
-
Geometric progressions in syndetic sets
In order to investigate multiplicative structures in additively large sets, Beiglböck et al. raised a significant open question as to whether or not...
-
Van der Corput sets with respect to compact groups
We study the notion of van der Corput sets with respect to general compact groups.
-
Multiplicative properties of sets of positive integers
It is proved that every set of positive integers with upper Dirichlet density greater than 1/2 contains three distinct elements whose product is a...
-
On estimations of dispersion of ratio block sequences
Using new characteristics of an infinite subset of positive integers we give some estimations of the dispersion of the related block sequence.
-
On ratio block sequences with extreme distribution function
Distribution functions of ratio block sequences formed from sequences of positive integers are investigated in the paper. We characterize the case...
-
Note on the Permutations which Preserve Buck’s Measure Density
In the first part some conditions under which a permutation preserves Buck’s measure density, are derived. In the second part is constructed a...
-
Note on a subgroup of Levy’s group
In the paper, there are proved some properties of the asymptotic density using the permutations.
-
On calculation of generalized densities
In the paper continuous variants of densities of sets of positive integers are introduced, some of their properties are studied and formula for their...
-
N-graphs, Modular Sidon and Sum-Free Sets, and Partition Identities
Using a new graphical representation for partitions, the author obtains a family of partition identities associated with partitions into distinct...
-
Linear Forms in Finite Sets of Integers
Let A_1, ..., A_r be finite, nonempty sets of integers, and let h_1,..., h_r be positive integers. The linear formh_1A_1 + ··· + h_rA_r is the set of...
-
A Binary Additive Problem of Erdös and the Order of 2 mod p2
We show that the problem of representing every odd positive integer as the sum of a squarefree number and a power of 2, is strongly related to the...
-
-
-
-