How do I use the Euler-Maclaurin Summation to find the zeros of the Riemann-Zeta function?

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I read this paper which describes Euler-Maclaurin Summation as a method for evaluating sums in terms of an integral. I also read from this Quora answer that Euler-Maclaurin summation is one method to find zeros on the critical strip.

However, it isn't obvious to me how to use this formula in order to find zeros. Can someone please explain it in terms a not-so-bright undergraduate can understand?