The authors prove that the generating function for certain two-color partitions equals a Hecke double sum by applying Zwegers' indefinite theta functions and mock theta modular transformations.
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5 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 5representative citing papers
Andrews and El Bachraoui establish modulo-4 criteria for Ramanujan-type progressions in S1(q), overpartition counts for the even companion, and quintic self-similarity plus quadratic form conditions for the odd companion's coefficients.
Andrews and El Bachraoui prove a two-variable generalization of the Hecke sum identity for S(q) via Bailey pairs, recovering the even and odd cases as corollaries when a=1.
Derives generating function formulas for two-color partitions with even parts restricted to blue and deduces associated partition identities.
This paper proves the Banerjee-Bringmann-Bachraoui conjecture on infinite families of congruences for the limiting sequence of certain restricted two-color partitions.
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Two-color partitions with evens in one color
Derives generating function formulas for two-color partitions with even parts restricted to blue and deduces associated partition identities.