An Analogue of the Dedekind Eta Function for Hecke GroupsMPIM

by Debmalya Basak (MPIM)

Thursday Aug 6, 2026, 3:00 PM → 4:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPI-Oberseminar

Let D ≡ 1 mod 4 be a fundamental discriminant of a real quadratic field. We will construct an analogue of the classical Dedekind eta function for Hecke groups, giving rise to a family of holomorphic modular functions that vanish at the cusp at infinity. If time permits, we will discuss the asymptotic growth and sign patterns of the Fourier coefficients of these modular functions.