Powerful amicable numbers
Poznámka arithmerická
Poznámka o číslech spřízněných
Poznámky arithmetické. [I.]
Poznámky arithmetické. [II.]
Prime numbers such that the sums of the divisors of their powers are perfect power numbers
Prime numbers such that the sums of the divisors of their powers are perfect squares
Primes in classes of the iterated totient function.
Primitive free quartics with specified norm and trace
Problèmes sur quelques fonctions numériques
Properties of rational arithmetic functions.
Properties of the function .
Quasi-amicable numbers are rare.
Quasiperfect numbers
Ramanujan sums and almost periodic functions
Ramanujan-Entwicklungen stark multiplikativer zahlentheoretischer Funktionen
Rational arithmetical functions of order (2,1) with respect to regular convolutions.
Regular arithmetical convolutions
Regular arithmetical convolutions and the solutions of linear congruences
Relations among arithmetical functions, automatic sequences, and sum of digits functions induced by certain Gray codes
In the study of the -adic sum of digits function , the arithmetical function and for plays a very important role. In this paper, we firstly generalize the relation between and to a bijective relation between arithmetical functions. And as an application, we investigate some aspects of the sum of digits functions induced by binary infinite Gray codes . We can show that the difference of the sum of digits function, , is realized by an automaton. And the summation formula of the sum...