Number Theory


On a Strengthened Hardy-Hilbert's Type Inequality

Authors: Guangsheng Chen

In this paper, by using the Euler-Maclaurin expansion for the zeta function and estimating the weight function effectively, we derive a strengthenment of a Hardy-Hilbert's type inequality proved by W.Y. Zhong. As applications, some particular results are considered. work.

Comments: 8 pages

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Submission history

[v1] 10 Nov 2011

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