User mike battaglia - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T11:14:16Z http://mathoverflow.net/feeds/user/14387 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/50245/the-hardy-z-function-and-failure-of-the-riemann-hypothesis/61702#61702 Answer by Mike Battaglia for The Hardy Z-function and failure of the Riemann hypothesis Mike Battaglia 2011-04-14T14:17:19Z 2011-04-14T14:17:19Z <p>Is it worth anything that since the prime-indicator function will only spike at integer values, that its Fourier transform is periodic? Think about how the prime-indicator and prime-counting functions are related, and how the Fourier and Mellin transforms are related.</p>