A305743 Decimal expansion of imaginary part of 8th nontrivial zero of Riemann zeta function.

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

Offset: 2

Author

Seiichi Manyama, Jun 23 2018

Keywords

• nonn
• cons

Examples

			The zero is at 1/2 + I*43.3270732809149995194961221654068... - _M. F. Hasler_, Nov 21 2018
		

Links

• Andrew M. Odlyzko, Tables of zeros of the Riemann zeta function
• OEIS index entries for sequences related to the zeta function.

Crossrefs

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

Cf. A002410 (rounded values: main entry), A013629 (floor), A092783 (ceiling).

Programs

Mathematica

RealDigits[Im[ZetaZero[8]], 10, 120][[1]] (* Vaclav Kotesovec, Jun 23 2018 *)

PARI

solve(X=43,44,imag(zeta(0.5+X*I))) \\ M. F. Hasler, Nov 21 2018

PARI

lfunzeros(1,[43,44])[1] \\ M. F. Hasler, Nov 23 2018