Contributions to Ramanujan's Theories of Modular Equations, Ramanujan-Type Series for 1/pi, and Partitions

92 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.In his Lost Notebook, Ramanujan recorded many important identities related to the generating function for the crank of partitions. In our last chapter, we explain the monotonicity of the coefficients for certain such generating functions and discuss their dissections.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD