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 A326891 Successive negative minima of Gram's points g(n) of the Zeta Riemann function. 5
 126, 134, 777, 1165, 2808, 3782, 12174, 14374, 23149, 60780, 117807, 126085 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This sequence is subset of A114856. Gram's points occur when the imaginary part of Riemann Zeta function is zero but the real part isn't zero. For very small values of Gram's points, the distance between nearest zero of Riemann Zeta function is very small. For successive positive minima of Gram's points g(n) of the Zeta Riemann function see A326890. LINKS M. A. Korolev, On small values of the Riemann zeta-function at Gram points, Mat. Sb., 2014, Volume 205, Number 1, 67-86. In Russian. EXAMPLE n |  a(n)  | g(a(n)) = Zeta value   ---+--------+---------------------    1 |    126 | -0.02762949885719994    2 |    134 | -0.01690039090339079    3 |    777 | -0.00964626429746985    4 |   1165 | -0.008575843736423    5 |   2808 | -0.005747300941326    6 |   3782 | -0.000760294730822    7 |  12174 | -0.00045763304501    8 |  14374 | -0.00027891005688    9 |  23149 | -0.00007068683846   10 |  60780 | -0.0000398945276   11 | 117807 | -0.0000229487717   12 | 126085 | -0.0000077126884 MATHEMATICA ee = 10; cc = {}; Do[kk = Re[Zeta[1/2 + I N[InverseFunction[ RiemannSiegelTheta][n Pi], 10]]]; If[(kk < 0) && (Abs[kk] < ee), AppendTo[cc, n]; ee = Abs[kk]], {n, 1, 1000000}]; aa CROSSREFS Cf. A114856, A326890. Sequence in context: A045167 A216063 A114856 * A165019 A025388 A025389 Adjacent sequences:  A326888 A326889 A326890 * A326892 A326893 A326894 KEYWORD nonn,more AUTHOR Artur Jasinski, Sep 13 2019 STATUS approved

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Last modified August 11 23:45 EDT 2020. Contains 336434 sequences. (Running on oeis4.)