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**ABEL SUMMATION: The Continuous Version of the Summation by Parts Formula**

Let , and suppose that is a continuously differentiable function on . Then:One of the many applications of this theorem is using it to show that:

by writing

where denotes the greatest integer part of x, and is the Euler-Mascheroni constant.*Last edited by zetafunc (2015-10-27 07:22:34)*

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