**Number Theory Webinar**

Fast Computation of Half-integral Weight Modular Forms

Ilker Inam, Bilecik Şeyh Edebali University, Turkey

15 MAR 2023

17:30 - 19:00

Modular forms continue to attract attention for decades with many different application areas. To study statistical properties of modular forms, including for instance Sato-Tate like problems, it is essential to be able to compute a large number of Fourier coefficients. In this talk, we will show that this can be achieved in level 4 for a large range of half-integral weights by making use of one of three explicit bases, the elements of which can be calculated via fast power series operations.

This is joint work with Gabor Wiese (Luxembourg).

Zoom Meeting ID: 856 1386 0958

Passcode: 513992

ICS-File: https://researchseminars.org/seminar/FGC-IPM/ics