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math.NT2026
Correspondence among congruence families for generalized Frobenius partitions via modular permutations
Rong Chen, Xiao-Jie Zhu
In 2024, Garvan, Sellers and Smoot discovered a remarkable symmetry in the families of congruences for generalized Frobenius partitions and . They also empha…
math.NT2024
Transformation properties of Andrews-Beck functions and generalized Appell-Lerch series
Rong Chen, Xiao-Jie Zhu
In 2021, Andrews mentioned that George Beck introduced a partition statistic which is related to Dyson's rank statistic. Motivated by Andrews's work, scholars have esta…