4 papers
A -microscope for mock-theta denominator patterns
Mohamed El Bachraoui
We give a systematic creative-microscoping treatment of truncated basic hypergeometric sums attached to three classical third-order mock theta denominator patterns, represented by…
Weighted partitions with interval restrictions: exact formulas and a bivariate master identity
George E. Andrews, Mohamed El Bachraoui, Aritram Dhar +2
Let and be the signed partition functions introduced by Andrews and El Bachraoui for interval-restricted partitions whose parts greater than are controlle…
Solutions for Hecke Sum Questions of Banerjee and Bringmann
George E. Andrews, Mohamed El Bachraoui
The present authors introduced a two-color partition series and conjectured a Hecke-type formula for the even part of . Banerjee and Bringmann proved…
Two-color partitions with evens in one color
George E. Andrews, Mohamed El Bachraoui
We consider sequences counting integer partitions in two colors (red and blue) in which the even parts occur only in blue color. We focus on subsequences defined by constraints on…