On the transfinite density of sequences and its applications to Dirichlet series
For an increasing to $\infty$ sequence $(\lambda_n)$ of positive numbers let $\displaystyle n(t)=\sum\limits_{\lambda_n\le t}1,\ N(x)=\int\nolimits_{0}^{x}\dfrac{n(t)}{t}dt, \ L_k(t)=\sum\limits_{\lambda_n\le t}\prod\limits_{j=0}^{k-1}\dfrac{1}{\ln_j \lambda_n}$ for $k\ge 1$ and $t\ge t_k=\exp_k (0...
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| Format: | Article |
| Language: | deu |
| Published: |
Ivan Franko National University of Lviv
2025-06-01
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| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/ojs/index.php/matstud/article/view/641 |
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