his will be a broad talk on some of the recent bounds for objects related to the Riemann zeta-function and prime gaps via the use of Fourier analysis machinery. Certain very interesting Fourier optimization problems come into play, naturally related to our number theoretical entities.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246