Small values of the Riemann zeta function on the critical line
Volume 169 / 2015
Acta Arithmetica 169 (2015), 201-220
MSC: Primary 11M06.
DOI: 10.4064/aa169-3-1
Abstract
We investigate real values of the Riemann zeta function on the critical line. We show that if Gram's points do not intersect with the ordinates of the nontrivial zeros of the Riemann zeta function then the Riemann zeta function takes arbitrarily small real values on the critical line.
