Lecture

Theta function (continued) and Combinatorics properties of modular forms

See also:

Last year's lecture was devoted to the study of theta series associated with positive definite (classical case) and indefinite quadratic forms. In this second part, it's the purely Combinatorics aspects of modular forms that will be studied first and foremost. Theta series won't always be visible, but it's they that in fact determine all the structures we discover.