http://dspace.bsu.edu.ru/handle/123456789/1976| Title: | On a problem of Karatsuba |
| Authors: | Gritsenko, S. A. |
| Keywords: | science mathematics Karatsuba problem Hardy function Dirichlet character Euler function Stirling’s formula Cauchy’s theorem |
| Issue Date: | 2010 |
| Citation: | Gritsenko, S.A. On a problem of Karatsuba / S.A. Gritsenko ; BSU // Mathematical Notes. - 2010. - Vol.88, №4.-P. 492-502. - doi: 10.1134/S000143461009021X. |
| Abstract: | We obtain lower bounds for the fractional moments of linear combinations of analogs of the Hardy function. In addition, we apply these estimates to the Karatsuba problem of finding a lower bound for the number of zeros of the linear combination of analogs of Hardy functions on the interval (0, T ] |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/1976 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Gritsenko S.A._On_a_problem.pdf | 222.56 kB | Adobe PDF | View/Open |
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