Sommes courtes de certaines fonctions multiplicatives
| Autor: | O. Labihi, A. Raouj |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | International Journal of Number Theory. 18:1651-1668 |
| ISSN: | 1793-7310 1793-0421 |
| DOI: | 10.1142/s1793042122500841 |
| Popis: | The purpose of this paper is to establish upper bounds for some short sums of a class of multiplicative functions over integers with certain restrictions on the number of prime factors. More precisely, we consider sums expressed in the form [Formula: see text]; or more generally [Formula: see text] where f is a positive multiplicative function, G is a polynomial with integer coefficients, and as usual, [Formula: see text] denotes the number of distinct prime factors of the integer m. |
| Databáze: | OpenAIRE |
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