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

1,2

Comments

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

Links

Table of n, a(n) for n=1..38.

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

Formula

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

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

Crossrefs

Cf. A114886, A254297.

Sequence in context: A280417 A099847 A014817 * A090893 A100486 A139533

Adjacent sequences: A326499 A326500 A326501 * A326503 A326504 A326505

Keyword

nonn,more

Author

Artur Jasinski, Sep 12 2019

Status

approved