Gram's Law Fails a Positive Proportion of the Time

Details Gram's Law Fails a Positive Proportion of the Time Gram's Law Fails a Positive Proportion of the Time

2008-11-06

arxiv.org/abs/0811.0883v1

Mathematics

Number Theory

10 pages

Scientific paper

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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