A114886 -id:A114886

Search: a114886 -id:a114886

Displaying 1-1 of 1 result found.

page 1

A326502

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

+10
10

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

(list; graph; refs; listen; history; text; internal format)

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.

KEYWORD

nonn,more

AUTHOR

Artur Jasinski, Sep 12 2019

STATUS

approved

page 1

Search completed in 0.005 seconds