A326502 Indices of records of minimal distance between successive Riemann zeta zeros.

1, 2, 4, 7, 9, 13, 19, 24, 27, 34, 63, 71, 91, 135, 159, 186, 212, 298, 315, 363, 453, 693, 922, 1496, 3777, 4765, 6709, 18859, 44555, 73997, 82552, 87761, 95248, 354769, 415587, 420891, 1115578, 8546950

Offset: 1

Author

Artur Jasinski, Sep 12 2019

Keywords

• nonn
• more

Comments

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

Links

• M. Kehoe, Computational Methods for the Riemann Zeta function, 2015.

Crossrefs

Cf. A114886, A254297.

Programs

Mathematica

kk = 10; aa = {}; Do[ll = Im[N[ZetaZero[n + 1] - ZetaZero[n], 50]];
If[ll < kk, AppendTo[aa, n]; kk = ll], {n, 1, 1500}]; aa

Formula

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