A356092 Decimal expansion of the imaginary part of the first nontrivial zero of zeta'.
2, 3, 2, 9, 8, 3, 2, 0, 4, 9, 2, 7, 6, 2, 8, 5, 7, 9, 0, 2, 0, 1, 0, 9, 6, 1, 6, 2, 6, 5, 9, 7, 8, 4, 7, 0, 5, 0, 5, 9, 5, 7, 6, 3, 9, 0, 0, 2, 8, 8, 3, 4, 9, 0, 2, 1, 4, 3, 0, 6, 9, 0, 4, 1, 0, 2, 8, 8, 6, 9, 2, 0, 7, 8, 2, 5, 0, 8, 9, 3, 9, 2, 6, 2, 4, 4, 5, 2, 4, 1, 3, 2, 4, 7, 0, 3, 5, 4, 3, 6, 6, 3, 2, 7, 8, 9, 8, 7, 7, 2, 1, 2, 1, 7, 7, 2, 7, 4, 5, 9, 5, 6, 3, 1, 6, 6, 1
Offset: 2
Links
- Benoit Cloitre, Picture of some nontrivial zeros of zeta'.
- Norman Levinson and Hugh L. Montgomery, Zeros of the derivatives of the Riemann zeta-function, Acta Mathematica, Vol. 133 (1974), pp. 49-65; alternative link.
Crossrefs
Cf. A356216.
Programs
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Mathematica
RealDigits[Im[x /. FindRoot[Derivative[1][Zeta][x], {x, 2 + 23*I}, WorkingPrecision -> 100]]][[1]] (* Amiram Eldar, Aug 14 2022 *)
Comments