Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Winston Heap
Affiliation:

London Metropolitan University/MPIM
Date:

Wed, 2019-12-11 14:30 - 15:30 We describe a possible alternative to the explicit formula and give two applications. The first relates the maximum of the Riemann zeta function on the one-line (and in the critical strip) to the maximum of S(t) - the remainder in the formula for the number of non-trivial zeros of height t. The second is concerned with cancellations of the Mobius function. In particular, we give new conditional upper bounds for partial sums of the Mobius function.

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/3444

[3] https://www.mpim-bonn.mpg.de/node/246