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math.NT2021
Congruence modulo 4 for Andrews' integer partition with even parts below odd parts
Dandan Chen, Rong Chen
We find and prove a class of congruences modulo 4 for Andrews' partition with certain ternary quadratic form. We also discuss distribution of and furth…
math.NT2021
Generating Functions of the Hurwitz Class Numbers Associated with Certain Mock Theta Functions
Dandan Chen, Rong Chen
We find the Hecke-Rogers type series representations of generating functions of the Hurwitz class numbers which is very close to certain mock theta functions. We also prove two com…
math.NT2021★ 1 cited
Congruences modulo powers of 5 for the rank parity function
Dandan Chen, Rong Chen, Frank Garvan
It is well known that Ramanujan conjectured congruences modulo powers of 5, 7 and and 11 for the partition function. These were subsequently proved by Watson (1938) and Atkin (1967…