OFFSET
1,1
COMMENTS
Conjecture 2: The zeta zeros whose indices are terms of this sequence are the locations where the zeta zero counting function, (RiemannSiegelTheta(t) + Im(log(zeta(1/2 + i*t))))/Pi + 1, undercounts the zeta zeros on the critical line.
Conjecture 3: This sequence consists of the numbers k such that sign(Im(zetazero(k)) - 2*Pi*e*exp(LambertW((k - 15/8)/e))) = -1. Verified for the first 100000 zeta zeros.
MATHEMATICA
(* Definition: *)
Monitor[Flatten[Position[Table[Floor[Im[ZetaZero[n]]/(2*Pi)*Log[Im[ZetaZero[n]]/(2*Pi*Exp[1])] + 7/8] - n + 1, {n, 1, 1500}], -1]], n]
CROSSREFS
KEYWORD
nonn
AUTHOR
Mats Granvik, Feb 21 2017
STATUS
approved