On an Asymptotic Property of Divisor τ-Function
- Autores: Hakobyan T.1, Vostokov S.1
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Afiliações:
- St. Petersburg State University
- Edição: Volume 39, Nº 1 (2018)
- Páginas: 77-83
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/200909
- DOI: https://doi.org/10.1134/S1995080218010134
- ID: 200909
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Resumo
In this paper for μ > 0 we study an asymptotic behavior of the sequence defined as Tn(μ) = (τ(n))−1\({\max _{1 \leqslant t \leqslant \left[ {{n^{1/\mu }}} \right]}}\) {τ(n + t)}, where τ(n) denotes the number of natural divisors of given positive integer n. The motivation of this observation is to explore whether τ-function oscillates rapidly.
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Sobre autores
T. Hakobyan
St. Petersburg State University
Autor responsável pela correspondência
Email: tigran19931026@gmail.com
Rússia, Universitetskaya nab. 7/9, St. Petersburg, 199034
S. Vostokov
St. Petersburg State University
Email: tigran19931026@gmail.com
Rússia, Universitetskaya nab. 7/9, St. Petersburg, 199034
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