New estimates of the remainder in an asymptotic formula in the multidimensional Dirichlet divisor problem

被引：0
作者：
O. V. Kolpakova
机构：
[1] Moscow State University,
来源：
Mathematical Notes | 2011年 / 89卷
关键词：
Dirichlet divisor problem; Riemann zeta function; Karatsuba constant; Carleson exponent; Dirichlet series;
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摘要：
We obtain a new value of the Karatsuba constant in the multidimensional Dirichlet divisor problem. We also find a new value of the exponent of the main parameter in the estimate of the mean value of the remainder in a given asymptotics. The proof of the main statements is based on the derivation of a new estimate of the Carleson abscissa in the theory of the Riemann zeta function.
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页码：504 / 518
页数：14
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