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math.NT2026
A Generalization of the Amdeberhan-Andrews-Ballantine Conjecture
Rong Chen, Tianjian Xu
In this paper, we prove a generalization of a conjecture of Amdeberhan, Andrews, and Ballantine on double Lambert series. Motivated by a question raised by Cui, Kumar, and Singh co…
math.NT2025
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…
math.NT2024
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…