Quiz for:
Exploring Modular Forms and Q-Series

Question 1

What are modular forms humorously referred to as, according to Martin Eichler?

Question 2

What is a Q-analogue of the factorial in the Q-exponential function?

Question 3

What is Euler's q-series power series representation?

Question 4

How does Euler's partition function, P(n), operate?

Question 5

What mathematical function is highlighted concerning Ramanujan's work?

Question 6

What is intended as the outcome of studying modular forms according to the lecture?

Question 7

What inspired the lecture series on modular forms?

Question 8

What is an example of applying Q-series in combinatorics?

Question 9

Which mathematical identity did Jacobi introduce in 1829?

Question 10

What property is associated with the tau function discussed in class?

Question 11

In what areas does Q-philosophy have consequences?

Question 12

Why must Q > 1 for the Q-exponential function?

Question 13

What historical figure is credited with introducing Q-series?

Question 14

What is the Q-philosophy's new view of numbers?

Question 15

What transformation is used to prove Jacobi’s Triple Product Identity?