Quicklists
Javascript must be enabled

Asif Zaman : Moments of other random multiplicative functions

Random multiplicative functions naturally serve as models for number theoretic objects such as the Mobius function. After fixing a particular model, there are many interesting questions one can ask. For example, what is the distribution of their partial sums? Harper has recently made remarkable progress for partial sums of certain random multiplicative functions with values that lie on the complex unit circle. He settled the correct order of magnitude for their low moments and surprisingly established that one expects better than square-root cancellation in their partial sums. I will discuss an extension of Harper's analysis to a wider class of multiplicative functions such as those modeling the coefficients of automorphic $L$-functions.

Add to Favorites

Please select playlist name from following

Create new playlist

Report Video

Please select the category that most closely reflects your concern about the video, so that we can review it and determine whether it violates our Community Guidelines or isn’t appropriate for all viewers. Abusing this feature is also a violation of the Community Guidelines, so don’t do it.

0 Comments

Comments Disabled For This Video