$q$-analogues of Ramanujan's $1/\pi$-type formulasMPIM

by Kam Cheong Au (University of Cologne)

Wednesday Apr 22, 2026, 2:30 PM → 3:30 PM Europe/Berlin

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

Number theory lunch seminar

One of Ramanujan’s most impressive discoveries is a type of formulas for $1/\pi$ that comes from modular parametrization of some hypergeometric series. In this talk, we focus on finding $q$-analogues of these formulas. We will employ the combinatorial tool of Wilf-Zeilberger pairs, and provide several examples of such $q$-analogues, involving both ordinary modular forms and mock modular forms.