Authors: Khalid M Ibrahim
In this paper, we introduced a method to modify the Dirichlet series over the Mobius function by progressively eliminating the numbers that first have a prime factor 2, then 3, then 5, ..up to the prime pr. The properties of the new series are analyzed as pr approaches infinity and its relationship to the function and the partial Euler product is established and then used to examine the validity of the Riemann Hypothesis.
Comments: 62 Pages.
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[v1] 2012-12-27 20:55:23 (removed)
[v2] 2013-01-14 06:04:14 (removed)
[v3] 2013-02-12 22:41:39 (removed)
[v4] 2013-04-05 21:33:30 (removed)
[v5] 2013-07-30 22:27:36
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