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...
Remark on multiplicative functions.
Remarks on arithmetical functions .
Remarks on generalized Ramanujan sums and even functions.
Remarks on maximum and minimum exponents in factoring
Remarks on number theory I. On primitive α-abundant numbers
Remarks on number theory II. Some problems on the σ function
Remarks on some number-theoretical functional equations.
Remarks to the paper of the E. Cohen "Arithmetical functions associated with arbitrary sets of integers"
Remarque au sujet de la fonction qui exprime la somme des diviseurs de .
Répartition des valeurs d'une classe de fonctions multiplicatives
Représentation multiplicative des entiers à l'aide de l'ensemble P + 1
Représentation multiplicative des entiers et fonctions multiplicatives
Representation numbers of five sextenary quadratic forms
For nonnegative integers a, b, c and positive integer n, let N(a,b,c;n) denote the number of representations of n by the form . Explicit formulas for N(a,b,c;n) for some small values were determined by Alaca, Alaca and Williams, by Chan and Cooper, by Köklüce, and by Lomadze. We establish formulas for N(2,1,0;n), N(2,0,1;n), N(1,2,0;n), N(1,0,2;n) and N(1,1,1;n) by employing the (p, k)-parametrization of three 2-dimensional theta functions due to Alaca, Alaca and Williams.
Representation numbers of stars.