Course description
q-analysis is the study of identities arising from q-factorials — a generalisation of the usual factorial — and q-binomial coefficients, a subject consisting primarily of identities between certain kinds of series and products. A major source of inspiration comes from number theory and combinatorics, where both appear naturally via generating functions.
In this course we study integer partitions through the lens of q-analysis. Classical results due to Euler, Jacobi, Cauchy, Sylvester, Rogers, and Ramanujan form the bedrock, and we go on to more modern developments due to Bailey and Andrews.
Lectures
No lecture log was kept for this run of the course.