On the average orders of the error term in the Dirichlet divisor problem
On the average orders of the error term in the Dirichlet divisor problem
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DOI：
10.1016/j.jnt.2004.07.007
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发表时间：
2005-11
影响因子：
0.7
通讯作者：
J. Furuya
中科院分区：
文献类型：
--
作者：
J. Furuya
设Δ(X)是Dirichlet除数问题中的误差项。本文研究了Δ(X)的两种中值公式，即∫1xΔ(U)kDu和∑n⩽xΔ(N)k与自然数k的差别，特别是k=2和3的情况。
Let Δ(x) be the error term in the Dirichlet divisor problem. The purpose of this paper is to study the difference between two kinds of mean value formulas of Δ(x), that is, the mean value formulas ∫1xΔ(u)kdu and ∑n⩽xΔ(n)kwith a natural number k. In particular we study the case k=2 and 3 in detail.