A065452 - OEIS

A065452

Decimal expansion of imaginary part of 3rd nontrivial zero of Riemann zeta function.

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

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OFFSET

2,1

COMMENTS

See A002410 and A058303 for more information.

REFERENCES

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 2.15.3, p. 138.

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 * 25.01085758014568876321379099256282181865954967...

MATHEMATICA

ZetaZero[3] // Im // RealDigits[#, 10, 99]& // First (* Jean-François Alcover, Mar 05 2013 *)

PROG

(PARI) solve(x=25, 25.1, real(zeta(1/2+x*I))) \\ Charles R Greathouse IV, Jun 30 2011

(PARI) lfunzeros(1, [25, 26])[1] \\ or: lfunzeros(1, 26)[3]. - M. F. Hasler, Nov 23 2018

CROSSREFS

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

Cf. A002410 (these values rounded to nearest integer), A013629 (floor), A092783 (ceiling).

Sequence in context: A249422 A100085 A159986 * A370541 A004598 A091086

Adjacent sequences: A065449 A065450 A065451 * A065453 A065454 A065455

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane, Nov 24 2001

EXTENSIONS

Minor edits by M. F. Hasler, Nov 23 2018

STATUS

approved