Number Theory


On the Sums (See Paper) and Their Relation to the Riemann Hypothesis and the Riemannweil Formula

Authors: Jose Javier Garcia Moreta

We study the sums (see paper) evaluated over the zeros and the imaginary part of the zeros of the Riemann Zeta function by two methods, the first method involves the use of the Hadamard product formula for the Riemann Xi-function, the second one uses the Riemann-Weill explicit formula , which relates a sum over the imaginary part of the zeros with another sum over prime numbers , we have managed to prove that the sum (see paper)

Comments: 7 pages

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Submission history

[v1] 13 Oct 2011

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