A note on Sándor type functions.
A note on some discrete valuation rings of arithmetical functions
The paper studies the structure of the ring A of arithmetical functions, where the multiplication is defined as the Dirichlet convolution. It is proven that A itself is not a discrete valuation ring, but a certain extension of it is constructed,this extension being a discrete valuation ring. Finally, the metric structure of the ring A is examined.
A note on the average order of the gcd-sum function.
A number-theoretic conjecture and its implication for set theory.
A problem involving simultaneous binary compositions
A property of the Euler -function concerning the integers which are regular modulo n
A property of the Unitary Analogue of Ramanujan's Sum.
A property of the unitary convolution
A property of the and functions
A rationality condition for the existence of odd perfect numbers.
A Remark on a Certain Class of Arithmetic Functions
A remark on a paper by A. Grytczuk.
A remark on the gamma function.
A result for the 'other' variable of Ramanujan's sum.
A survey of gcd-sum functions.
A Theorem on Totally Mulitplicative Functions.
A variation on perfect numbers.
Abundancy “outlaws” of the form .
Acknowledgment of priority: "On some problems of Mąkowski-Schinzel and Erdős concerning the arithmetical functions ϕ and σ" (Colloq. Math. 92 (2002), 111-130)
Affine invariants, relatively prime sets, and a phi function for subsets of .