A065453 Decimal expansion of imaginary part of 4th nontrivial zero of Riemann zeta function.

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

Offset

2,1

Comments

See A002410 and A058303 for more information.

Links

G. C. Greubel, Table of n, a(n) for n = 2..10000

Andrew M. Odlyzko, The first 100 (non trivial) zeros of the Riemann Zeta function, to over 1000 decimal digits each, AT&T Labs - Research.

Andrew M. Odlyzko, Tables of zeros of the Riemann zeta function

Index entries for zeta function.

Example

The zero is at 1/2 + i * 30.42487612585951321031189753058409132...

Mathematica

RealDigits[ Im[ ZetaZero[4]], 10, 99] // First (* Jean-François Alcover, Mar 07 2013 *)

Prog

(PARI) solve(x=30, 31, real(zeta(1/2+x*I))) \\ Charles R Greathouse IV, Mar 10 2016
(PARI) lfunzeros(lzeta, [30, 31])[1] \\ Charles R Greathouse IV, Mar 10 2016

Crossrefs

Imaginary part of k-th nontrivial zero of Riemann zeta function: A058303 (k=1), A065434 (k=2), A065452 (k=3), A065453 (k=4: this), A192492 (k=5), A305741 (k=6), A305742 (k=7), A305743 (k=8), A305744 (k=9), A306004 (k=10).

Cf. A002410 (round), A013629 (floor), A092783 (ceiling).

Sequence in context: A201291 A272192 A077150 * A152770 A098601 A113486

Adjacent sequences: A065450 A065451 A065452 * A065454 A065455 A065456

Keyword

nonn,cons

Author

N. J. A. Sloane, Nov 24 2001

Status

approved