Department of Mathematics Calendar

Back to Listing

The Department of Mathematics Calendar has moved to Webtools. Anyone may submit an event by clicking the "+" button (upper right). Note: the Sponsor field is required. Just type "n/a"

All events will be reviewed before acceptance. Please email Shelby Koehne if you have any questions about submitting an event.

Note: you may search past and future events by clicking on the magnifying glass icon on the main Calendar page.

For an archive of past events:

Number Theory Seminar: Arithmetic properties of weakly holomorphic modular functions of arbitrary level

Event Type
241 Altgeld Hall
Sep 21, 2021   11:00 am  
Soon-Yi Kang, Kangwon National University, Korea
Bruce Berndt

Abstract: The canonical basis of the space of modular functions on the modular group of genus zero form a Hecke system.  From this fact, many important properties of modular functions were derived. Recently, we have proved that the Niebur-Poincare basis of the space of Harmonic Maass functions also forms a Hecke system. In this talk, we show its applications, including divisibility of Fourier coefficients of modular functions of arbitrary level, higher genus replicability, and values of modular functions on divisors of modular forms.

link for robots only