Modular equations and series for 1/π

Abstract:

In this talk, I will explain how to derive series for

1/π published by Ramanujan in his article ''Modular equations and approximations to π''. Modular forms, modular equations, hypergeometric series, as well as Hilbert class fields of imaginary quadratic fields all play an important role in these derivations.

Bio:

Chan Heng Huat (曾衡发)

He graduated from National University of Singapore in 1991 with a B.Sc., and obtained his PhD degree under the supervision of B.C. Berndt at the University of Illinois at Urbana-Champaign in 1995. He was a member at the Institute for Advanced Study at Princeton for nine months before joining Chung Cheng University in 1996. In August 1997, he returned to Singapore and began working at National University of Singapore.

Time: April 24, 2024 (Wednesday), 10:00-11:00

Venue: C702, Mingde Building, Shandong University, Jinan