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arXiv · 0811.0883

Gram's Law Fails a Positive Proportion of the Time

Timothy Trudgian
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Abstract

This paper extends the work done by Titchmarsh on Gram's Law (an attempt to locate the zeroes of the zeta-function on the critical line). Herewith it is shown that a positive proportion of Gram intervals violate Gram's Law; and also that a weaker notion of Gram's Law is valid over a positive proportion of intervals.

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Timothy Trudgian. 2008-11-06. Gram's Law Fails a Positive Proportion of the Time. https://arxiv.org/abs/0811.0883

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