The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series

Basic facts Integer weight modular forms Half-integral weight modular forms Product expansions of modular forms on $\mathrm{SL}_2(\mathbb{Z})$ Partitions Weierstrass points on modular curves Traces of singular moduli and class equations Class numbers of quadratic fields Central values of modular $L$-functions and applications Basic hypergeometric generating functions for $L$-values Gaussian hypergeometric functions Bibliography Index.