| Tekijä(t): | Haukkanen, Pentti |
| Nimeke: | Some characterizations of specially multiplicative functions |
| Vuosi: | 2003 |
| Lehden nimi: | International Journal of Mathematics and Mathematical Sciences |
| Vol ja numero: |
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| Sivunumerot: | 2335-2344 |
| ISSN: | 1687-0425 |
| Tieteenala: | Matematiikka |
| Julkaisun tyyppi: | Artikkeli aikakauslehdessä |
| Kieli: | en |
| DOI: | http://dx.doi.org/10.1155/S0161171203301139 |
| URN: | urn:nbn:uta-3-736 |
| Tiivistelmä: | A multiplicative function f is said to be specially multiplicative if there is a completely multiplicative function
fA such that f(m)f(n)=∑d|(m,n)f(mn/d2)fA(d) for all m and n. For example, the divisor functions and Ramanujan's τ-function are specially multiplicative functions. Some characterizations of specially multiplicative functions are given in the literature. In this paper, we provide some further characterizations of specially multiplicative functions. |
| Lisätiedot: | Hindawi Open access |