Research Article

A New Unconditional Result about Large Spaces Between Zeta Zeros

Professor R. R. Halla1

a1 Mathematics Department, York University, York YO10 5DD United Kingdom.

Suppose that {tn} is the sequence of positive roots of ζ (½ + it) counted according to multiplicity and arranged in non-decreasing order; in my paper [6] I proved that

and my main objective here is to improve this bound.

(Received July 14 2005)

MSC (2000)

  • Primary, 11M26