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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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.
citing papers explorer
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Proof of a conjecture of Andrews and Bachraoui on a Hecke sum
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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Solutions for Hecke Sum Questions of Banerjee and Bringmann
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.
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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.
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Proof of a conjecture of Banerjee,Bringmann and Bachraoui on infinite families of congruences
This paper proves the Banerjee-Bringmann-Bachraoui conjecture on infinite families of congruences for the limiting sequence of certain restricted two-color partitions.