4 citations · 5 across the 6 of their papers we have counts for
6 papers
Generalized LCM matrices
Antal Bege
Let be an arithmetical function. The matrix given by the value of in least common multiple of , as its entry is ca…
Generalized GCD matrices
Antal Bege
Let be an arithmetical function. The matrix given by the value of in greatest common divisor of , as its entry is…
Generalized perfect numbers
Antal Bege, Kinga Fogarasi
In this paper some new ways of generalizing perfect numbers are investigated, numerical results are presented and some conjectures are established.
Coding objects related to Catalan numbers
Antal Bege, Zoltán Kása
A coding method using binary sequences is presented for different computation problems related to Catalan numbers. This method proves in a very easy way the equivalence of these pr…
Generalized Mobius-type functions and special set of k-free numbers
Antal Bege
In [3] Bege introduced the generalized Apostol's Mobius functions. In this paper we are presenting new properties of this functions. By introducing the special set of k-free number…
A generalization of Apostol's Möbius functions of order k
Antal Bege
Apostol's Mobius functions of order k are generalized to depend on a second integer parameter m. Asymptotic formulas are obtained for the partial sums of these generalized function…