| Title: | On asymptotic behavior of Dirichlet inverse |
| Authors: | Baustian, Falko Bobkov, Vladimír |
| Citation: | BAUSTIAN, F., BOBKOV, V. On asymptotic behavior of Dirichlet inverse. International Journal of Number Theory, 2020, roč. 16, č. 6, s. 1337-1354. ISSN 1793-0421. |
| Issue Date: | 2020 |
| Publisher: | World Scientific Publishing |
| Document type: | článek article |
| URI: | 2-s2.0-85082101878 http://hdl.handle.net/11025/39869 |
| ISSN: | 1793-0421 |
| Keywords in different language: | Dirichlet inverse;Dirichlet convolution;asymptotics;ordered factorizations |
| Abstract in different language: | Let f(n) be an arithmetic function with f(1)≠0 and let f−1(n) be its reciprocal with respect to the Dirichlet convolution. We study the asymptotic behavior of ∣∣f−1(n)∣∣ with regard to the asymptotic behavior of |f(n)| assuming that the latter one grows or decays with at most polynomial or exponential speed. As a by-product, we obtain simple but constructive upper bounds for the number of ordered factorizations of n into k factors. |
| Rights: | © World Scientific Publishing Plný text není přístupný. |
| Appears in Collections: | Články / Articles (NTIS) OBD |
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