login
Decimal expansion of imaginary part of 10th nontrivial zero of Riemann zeta function.
12

%I #21 Nov 23 2018 10:16:07

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

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

%U 5,1,1,6,1,1,5,1,5,7,3,9,2,7,8,7,3,2,7,0,7,5,0

%N Decimal expansion of imaginary part of 10th nontrivial zero of Riemann zeta function.

%H Andrew M. Odlyzko, <a href="http://www.dtc.umn.edu/~odlyzko/zeta_tables/index.html">Tables of zeros of the Riemann zeta function</a>

%H <a href="/index/Z#zeta_function">OEIS index entries for sequences related to the zeta function</a>.

%e The zero is at 1/2 + i * 49.77383247767230218191678467856372405772317829967666...

%t RealDigits[Im[ZetaZero[10]], 10, 120][[1]] (* _Vaclav Kotesovec_, Jun 23 2018 *)

%o (PARI) lfunzeros(1,[49,50])[1] \\ _M. F. Hasler_, Nov 23 2018

%Y 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), A305743 (k=8), A305744 (k=9), this sequence (k=10).

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

%K nonn,cons

%O 2,1

%A _Seiichi Manyama_, Jun 23 2018

%E Edited (added link, example, cross-reference) by _M. F. Hasler_, Nov 23 2018