Daniel R. Johnston

A round of Pintz to celebrate oscillations in sums

Abstract We explore a method, going back to Landau and developed by Pintz, for connecting sums of arithmetic functions with zero-free regions for $$L$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>L</mml:mi> </mml:math> -functions. In particular, we make expl...