The web of modularity : arithmetic of the coefficients of modular forms and q-series

  title={The web of modularity : arithmetic of the coefficients of modular forms and q-series},
  author={Ken Ono},
  • K. Ono
  • Published 22 December 2003
  • Mathematics
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. 
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