Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2502.02598 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
Sommario:
- In this paper, we study the distribution of the sequence of integers $2^{ω(n)}$ under the assumption of the strong Riemann hypothesis, where $ω(n)$ denotes the number of distinct prime divisors of $n$. We provide an asymptotic formula for the sum $\displaystyle\sum_{n\leq x}2^{ω(n)}$ under this assumption. We study the sum $\displaystyle\sum_{n\leq x}2^{ω(n)}$ unconditionally too.