Subconvexity for the Riemann Zeta-function and the Divisor Problem
نویسندگان
چکیده
A simple proof of the classical subconvexity bound ζ( 1 2 + it) ≪ε t1/6+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. 1. Convexity for the Riemann zeta-function Let as usual (1.1) ζ(s) = ∞
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