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

Event Type
Seminar/Symposium
Sponsor
n/a
Location
241 Altgeld Hall
Date
Sep 21, 2021   11:00 am  
Speaker
Soon-Yi Kang, Kangwon National University, Korea
Contact
Bruce Berndt
E-Mail
berndt@illinois.edu
Views
16

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.

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