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Indices of records of minimal distance between successive Riemann zeta zeros.
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%I #30 Mar 29 2024 20:15:06

%S 1,2,4,7,9,13,19,24,27,34,63,71,91,135,159,186,212,298,315,363,453,

%T 693,922,1496,3777,4765,6709,18859,44555,73997,82552,87761,95248,

%U 354769,415587,420891,1115578,8546950

%N Indices of records of minimal distance between successive Riemann zeta zeros.

%C Lehmer phenonomena in Riemann zeta function occur when distances between successive zeros are small.

%H M. Kehoe, <a href="https://www.slideshare.net/MatthewKehoe1/riemanntex">Computational Methods for the Riemann Zeta function</a>, 2015.

%F a(n) = A254297(n+1)-1.

%t kk = 10; aa = {}; Do[ll = Im[N[ZetaZero[n + 1] - ZetaZero[n], 50]];

%t If[ll < kk, AppendTo[aa, n]; kk = ll], {n, 1, 1500}]; aa

%Y Cf. A114886, A254297.

%K nonn,more

%O 1,2

%A _Artur Jasinski_, Sep 12 2019