ТАУБЕРОВЫ ТЕОРЕМЫ С МЕДЛЕННО МЕНЯЮЩИМИСЯ С ОСТАТКОМ ФУНКЦИЯМИ И ИХ ПРИЛОЖЕНИЯ
E. Wirsing setted up a problem in 1967 year: Is it possible to reduce the estimation ∑n≤xf(n)=o(xlogx∑n≤xf(n)n),x→∞\eqno(1) from the estimation ∑p≤xf(p)logpp=o(logx),x→∞.\eqno(2) Here n is a positive enteger, p is a prime number. Let us denote the right-side sum in formula (2) by m(x). B. V. Levin a...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2012-01-01
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| Series: | Проблемы анализа |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1723 |