George E. Andrews

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20242026

most citedCongruences for two-color partitions with odd smallest part

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math.NT2025

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…

math.NT2025

Certain positive $q$ -series and inequalities for two-color partitions

George E. Andrews, Mohamed El Bachraoui

We consider some $q$ -series which depend on a pair of positive integers $(k, m)$ . While positivity of these series holds for the first few values of $(k, m)$ , the situation is quite…

math.NT2025

Positive Weighted Partitions Generated by Double Series

George E. Andrews, Mohamed El Bachraoui

We investigate some weighted integer partitions whose generating functions are double-series. We will establish closed formulas for these $q$ -double series and deduce that their co…

Two-color partitions with evens in one color

Certain positive q-series and inequalities for two-color partitions

Positive Weighted Partitions Generated by Double Series

Certain positive $q$ -series and inequalities for two-color partitions