On A Divisor Sum Involving Pairwise Relatively Prime Positive Integers
| Autor: | Billal, Masum |
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| Přispěvatelé: | Independent Author, Billal, Masum |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Popis: | The number of tuples with positive integers pairwise relatively prime to each other with product at most $n$ is considered. A generalization of $\mu^{2}$ where $\mu$ is the M\"{o}bius function is used to formulate this divisor sum and establish some identities. One such identity is a weighted sum of reciprocal of square-free numbers not exceeding $n$. Some auxiliary number theoretic functions are introduced to formulate this sum. Comment: 10 pages |
| Databáze: | OpenAIRE |
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