Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
Explore the partition function through a fresh mathematical perspective in this conference talk delivered at the International Centre for Theoretical Sciences. Delve into advanced number theory concepts as part of a comprehensive discussion meeting on Harmonic Maass Forms, Mock Modular Forms and Their Applications. Examine how partition functions connect to the broader framework of modular forms and their generalizations, building upon the foundational work that traces back to Ramanujan's mysterious mock theta functions described in his 1920 deathbed letter to G.H. Hardy. Discover the mathematical developments that emerged from Zwegers, Bruinier, and Funke's groundbreaking work in establishing the correct framework for understanding these "modular-like" functions. Learn how partition theory intersects with harmonic Maass forms and mock modular forms, which have found applications across diverse mathematical areas including elliptic curves, black hole physics, and representation theory. Gain insights into current research directions in this active field that has flourished over the past 25 years, connecting classical number theory with modern mathematical physics and representation theory.
