Numbers with good factorization properties
Numbers with unique factorization in an algebraic number field
Distribution of values of multiplicative functions in residue classes.
Some Recent Developments in three Classical Problems of Number Theory.
Polynomial cycles in certain rings of rationals
It is shown that the methods established in [HKN3] can be effectively used to study polynomial cycles in certain rings. We shall consider the rings and shall describe polynomial cycles in the case when is either odd or twice a prime.
Reviews of the book ``The World of Mathematics and its Material Shadows'' by Józef Życiński
Are mathematical concepts just creations of the human mind, or are they a reflection of the real world? Do mathematicians create mathematical concepts and theories or do they discover them? We do not know the full answer to these questions, but many mathematicians are sympathetic to the view that mathematics describes a certain reality, independent of humankind. In the academic year 2006/2007, the recently deceased Archbishop of Lublin, the Rev. Prof. Józef Życiński gave a series of lectures entitled...
A theorem of H. Steinhaus and -dense sets of positive integers
Polynomial mappings defined by forms with a common factor
An addendum to the paper: “Arithmetic functions over rings with zero divisors” by Ruangsinsap, Laohakosol and P. Udomkavanich.
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