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A305742 Decimal expansion of imaginary part of 7th nontrivial zero of Riemann zeta function. 12

%I #14 Nov 23 2018 09:27:55

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

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

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

%N Decimal expansion of imaginary part of 7th 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>

%e The zero is at 1/2 + i * 40.918719012147495187398126914633254395726165962777...

%t RealDigits[Im[ZetaZero[7]], 10, 120][[1]] (* _Vaclav Kotesovec_, Jun 23 2018 *)

%o (PARI) lfunzeros(1,[40,41])[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), this sequence (k=7), A305743 (k=8), A305744 (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

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