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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.02598 |
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Table of Contents:
- 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.