COMPUTATIONAL ESTIMATION OF THE ORDER OF ζ ( 12 + it )
نویسنده
چکیده
The paper describes a search for increasingly large extrema (ILE) of ∣∣ζ( 1 2 + it) ∣∣ in the range 0 ≤ t ≤ 1013. For t ≤ 106, 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(t2/ √ log t log 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.
منابع مشابه
Computational estimation of the constant β(1) characterizing the order of ζ(1+it)
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