On the Mean Value of the Product of Multiplicative Functions with Shifted Argument

• Autores: Jonas Siaulys, Gediminas Stepanauskas
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 150, Nº 4, 2007, págs. 343-351
• Idioma: inglés
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• Resumen

  • In this paper, we consider the mean value of the product of multiplicative arithmetic functions with shifted argument. The investigated functions have to satisfy the following conditions: their moduli do not exceed 1; the values on the set of primes are close to 1 for one of the functions and close to a fixed complex number for the other function. Some consequences for the classical functions are given.