Subconvexity for the Riemann zeta-function and the divisor problem

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138181A simple proof of the classical subconvexity bound $ζ(1/2+it) \ll_εt^{1/6+ε}$ for the Riemann zeta-function is given, and estimation by more refined techniques is discussed. The connections between the Dirichlet divisor problem and the mean square of $|ζ(1/2+it)|$ are analysed.18 pagesNumber Theory11M06, 11N37Subconvexity for the Riemann zeta-function and the divisor problemtext