Hardy Ramanujan Journal |

Hardy's theorem for the Riemann zeta-function ζ(s) says that it admits infinitely many complex zeros on the line (s) = 1 2. In this note, we give a simple proof of this statement which, to the best of our knowledge, is new.

Source : oai:HAL:hal-01425570v1

Volume: Volume 39

Published on: January 9, 2017

Submitted on: January 9, 2017

Keywords: Riemann zeta-function,Hardy's theorem,Hardy's Z-function ,2010 Mathematics Subject Classification 11E45 (primary); 11M41 (secondary),[MATH] Mathematics [math]

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