1. Analytic and Combinatorial Aspects of Certain Identities and Congruences in Partition Theory Open Access Author: Bandyopadhyay, Shreejit Title: Analytic and Combinatorial Aspects of Certain Identities and Congruences in Partition Theory Graduate Program: Mathematics (PHD) Keywords: Partition crankWeighted partitionsCrank congruencesCombinatoricsHypergeometric seriesk-colored partitionsOverpartitionsOverpartition identitiesRogers-Ramanujan type identities File: Download Dissertation_Shreejit.pdf Committee Members: Donald Richards, Outside Unit, Field & Minor MemberAlexei Novikov, Professor in Charge/Director of Graduate StudiesGeorge Andrews, Co-Chair & Dissertation AdvisorAe Ja Yee, Co-Chair & Dissertation AdvisorWen-Ching Li, Major Field Member