A271856 - OEIS

A271856

Decimal expansion of the first local extremum value of the Riemann function zeta(x) along the negative real axis; zeta(A271855).

9, 1, 5, 9, 8, 9, 0, 1, 1, 9, 9, 0, 3, 4, 6, 1, 8, 4, 0, 0, 5, 6, 0, 3, 8, 7, 2, 8, 6, 4, 3, 9, 2, 7, 2, 3, 2, 6, 8, 4, 5, 0, 2, 7, 3, 3, 9, 4, 5, 7, 1, 7, 8, 8, 7, 7, 9, 4, 9, 0, 5, 4, 8, 6, 7, 3, 0, 0, 2, 3, 7, 1, 6, 1, 4, 5, 3, 9, 2, 8, 7, 8, 1, 5, 2, 4, 9, 0, 0, 2, 9, 8, 6, 1, 2, 8, 2, 2, 1, 4, 6, 1, 0, 3, 1

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OFFSET

-2,1

COMMENTS

The first local extremum is a maximum; for a detailed description, see A271855, which defines its location.

LINKS

Stanislav Sykora, Table of n, a(n) for n = -2..2000

Eric Weisstein's World of Mathematics, Riemann Zeta Function.

EXAMPLE

0.009159890119903461840056038728643927232684502733945717887794905486...

MATHEMATICA

RealDigits[Zeta[x /. FindRoot[Zeta'[x] == 0, {x, 0}, WorkingPrecision -> 120]]][[1]] (* Amiram Eldar, Apr 11 2026 *)