Bareikis, Gintautas; Mačiulis, Algirdas On the number of divisors in arithmetical semigroups. (English) Zbl 1274.11149 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 35-44 (2013). Summary: The generalized divisor function, defined on an arithmetical semigroup, is considered. The asymptotic formula for its mean value is obtained. Cited in 1 Document MSC: 11N45 Asymptotic results on counting functions for algebraic and topological structures 11N80 Generalized primes and integers 11K65 Arithmetic functions in probabilistic number theory Keywords:arithmetical semigroup; multiplicative function; divisor function PDFBibTeX XMLCite \textit{G. Bareikis} and \textit{A. Mačiulis}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 39, 35--44 (2013; Zbl 1274.11149)