1 citations · 1 across the 8 of their papers we have counts for
9 papers
A generalization of the Mordell integral
Dandan Chen, Rong Chen, Sander Zwegers
We find a generalization of the Mordell integral and we also establish a set of properties for a generalization of the Mordell integral similar to those in the third author's PhD t…
Congruences modulo powers of and for the crank and rank parity functions and related mock theta functions
Dandan Chen, Rong Chen, Frank Garvan
It is well known that Ramanujan conjectured congruences modulo powers of , and and for the partition function. These were subsequently proved by Watson (1938) and Atkin…
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…
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…
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…
On Decomposition of as the Sum of Lambert Series and Cusp forms
Dandan Chen, Rong Chen
Based on the values of the Weierstrass elliptic function at , and the theory of modular forms on the arithmetic group $Γ_0(2…