On the order of<i>ζ</i>(12+<i>it</i>) and Δ(<i>R</i>)
On the order of<i>ζ</i>(12+<i>it</i>) and Δ(<i>R</i>)
In this paper we obtain new estimates of ζ(l/2+iί), the value of the Riemann zeta-function on the critical line, and Δ{R), the remainder in the Dirichlet divisor problem.The estimates are d-+ it) « t 35/216+ε for any ε > 0 and Δ(R) « # 35/108+εfor any ε > 0 , …