A disproof of the Riemann Hypothesis via the Nicolas Criterion
Abstract
The achievement of this paper is a confutation of the inequality addressed by the Nicolas criterion for the Riemann Hypothesis, carried out after establishing properties of two related sequences. One of them is the product Πk=1n(1-1/pk), rewritten as an alternating sum. The disproof is by contradiction: assuming the Nicolas inequality is always true, we reach an absurdity exploiting the aforementioned properties and a general lemma.
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