Usha K. Sangale - A note on Hardy's theorem

hrj:2634 - Hardy-Ramanujan Journal, January 9, 2017, Volume 39 - 2016 - https://doi.org/10.46298/hrj.2017.2634
A note on Hardy's theorem

Authors: Usha K. Sangale

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.


Volume: Volume 39 - 2016
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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