A study on q-series and partitions

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dc.contributor.authorShit, Sabuj Baran
dc.date.accessioned2026-11-05T07:15:17Z
dc.date.available2026-11-05T07:15:17Z
dc.date.issued2025
dc.description.abstractThis Thesis explores the rich field of the q-series, highlighting how it interacts with three important mathematical theorems: Euler’s identity, the Jacobi triple product and the Pentagonal number Theorem, Ramnujan’s Partition Congruences. A foundation for comprehending the structure of q-series and their generating functions is provided by Euler’s identity. The depth of q-series is further demonstrated by the Pentagonal Number Theorem, which relates to combinatorics and integer partitions. Together, these results illustrate the profound coherence of the q− series within mathematics.
dc.identifier.urihttp://nits.ndl.gov.in/handle/123456789/277
dc.language.isoen
dc.publisherDepartment of Mathematics, NITS
dc.relation.ispartofseriesD2415
dc.titleA study on q-series and partitions
dc.typeThesis
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