left-arrowleft-arrowright-arrowleft-arrowAsset 9
'
Loading Events

« All Events

  • This event has passed.

Continuous extensions of Ramanujan-expandable arithmetic functions (Matthew Fox, Perimeter Institute for Theoretical Physics and Chai Karamchedu, Sandia National Labs)

March 22, 2022 @ 12:30 pm - 1:20 pm

We describe a natural way to continuously extend arithmetic functions that admit a Ramanujan expansion and derive the conditions under which such an extension exists. In particular, we show that the absolute convergence of a Ramanujan expansion does not guarantee the convergence of its real variable generalization. We take the divisor function as a case study, and consider how to continuously extend it to the reals.

Details

Date:
March 22, 2022
Time:
12:30 pm - 1:20 pm
Event Category:

Venue

On Zoom