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A305744 Decimal expansion of imaginary part of 9th nontrivial zero of Riemann zeta function. 12

%I #16 Nov 23 2018 10:12:46

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

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

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

%N Decimal expansion of imaginary part of 9th 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 * 48.0051508811671597279424727494275160416868440011444251...

%t RealDigits[Im[ZetaZero[9]], 10, 120][[1]] (* _Vaclav Kotesovec_, Jun 23 2018 *)

%o (PARI) lfunzeros(1,[48,49])[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), this sequence (k=9), A306004 (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 (example, link, cross-references) by _M. F. Hasler_, Nov 23 2018

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Last modified April 24 03:08 EDT 2024. Contains 371918 sequences. (Running on oeis4.)