论文信息 - Computational estimation of the order of zeta (1/2 + it)

Computational estimation of the order of zeta (1/2 + it)

The paper describes a search for increasingly large extrema (ILE) of |ζ(1 2 + it)| in the range 0 ≤ t ≤ 10 13 . For t < 10 6 , the complete set of ILE (57 of them) was determined. In total, 162 ILE were found, and they suggest that ζ(1 2 + it) = Ω(t 2/ √ log t log t ). There are several regular patterns in the location of ILE, and arguments for these regularities are presented. The paper concludes with a discussion of prospects for further computational progress.

Tadej Kotnik | T. Kotnik

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