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has been cited by the following article:

• TITLE: Symmetric Identities from an Invariant in Partition Conjugation and Their Applications in q-Series

  AUTHORS: Sandy H. L. Chen

  KEYWORDS: Integer Partitions, Conjugation, Invariant, -Series, Symmetric Identities

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.4 No.2, April 15, 2014

  ABSTRACT: For every partition and its conjugation , there is an important invariant , which denotes the number of different parts. That is , . We will derive a series of symmetric q-identities from the invariant in partition conjugation by studying modified Durfee rectangles. The extensive applications of the several symmetric q-identities in q-series [1] will also be discussed. Without too much effort one can obtain much well-known knowledge as well as new formulas by proper substitutions and elementary calculations, such as symmetric identities, mock theta functions, a two-variable reciprocity theorem, identities from Ramanujan’s Lost Notebook and so on.