陈旦旦｜上海大学｜学者主页

期刊论文

2025

Combinatorial Proofs for Overpartitions and Two-Colored Partitions II

Dandan Chen, Jiahao Liu

Electronic Journal of Combinatorics

DOI

2025

COMBINATORIAL PROOFS FOR TWO-COLOUR PARTITIONS

Dandan Chen, Ziyin Zou

Bulletin of the Australian Mathematical Society

DOI

2024

Combinatorial proof of identities involving partitions with distinct even parts and 4-regular partitions

Dandan Chen, Ziyin Zou

Proceedings of the Romanian Academy. Series A Mathematics, Physics, Technical Sciences, Information Science

DOI

2024

Congruences modulo powers of 5 and 7 for the crank and rank parity functions and related mock theta-functions

Dandan Chen, Rong Chen, F. Garvan

The Ramanujan journal

DOI

2023

Congruence Modulo 4 for Andrews’ Even Parts Below Odd Parts Partition Function

Dandan Chen, Rong Chen

Annals of Combinatorics

DOI

2021

On decomposition of θ22n(τ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\theta _2^{2n}(\tau )$$\end{document} as th

Dandan Chen, Rong Chen

The Ramanujan journal

DOI

2021

Congruences modulo powers of 5 for the rank parity function

Dandan Chen, Rong Chen, F. Garvan

Hardy-Ramanujan Journal

DOI

2021

Generating functions of the Hurwitz class numbers associated with certain mock theta functions

Dandan Chen, Rong Chen

The Ramanujan journal

DOI

2020

Mock theta函数的表示

陈旦旦

《华东师范大学》

2020

On a class of elliptic functions associated with even Dirichlet characters

Dandan Chen, Rong Chen

The Ramanujan journal

DOI

2018

Representations of mock theta functions

Dandan Chen, Liu-Quan Wang

Advances in Mathematics

DOI

COMBINATORIAL PROOFS

Dandan Chen, Rong Chen, Mengjie Zhao

预印本

2026

Indefinite theta vectors and generalized Nahm sums of arbitrary rank

Chen Dandan, Siyu Yin

arXiv (Cornell University)

DOI

2026

Combinatorial Proofs for Two-Color Partition Identities Involving Overpartitions and Minimal Excludants

Chen Dandan, Zhao Mengjie, Zou Ziyin

arXiv preprint

2025

Combinatorial proofs for partitions with repeated smallest part

Dandan Chen, Rong Chen, Mengjie Zhao

arXiv preprint

2025

A generalization of the Mordell integral

Dandan Chen, Rong Chen, Sander Zwegers

arXiv preprint

2025

Congruences modulo powers of $7$ for $k$-elongated plane partitions

Dandan Chen, Tianjian Xu, Siyu Yin

arXiv preprint

2025

Congruences modulo powers of $3$ for generalized Frobenius partitions $CΨ_{6,0}$

Dandan Chen, Siyu Yin

arXiv preprint

2025

On Bilateral Multiple Sums and Rogers-Ramanujan Type Identities

Dandan Chen, Tianjian Xu

arXiv preprint

DOI

2025

Congruences Modulo Powers of 7 for the Reciprocal Crank Parity Function

Dandan Chen

arXiv preprint

2024

Rogers-Ramanujan Type Identities Involving Double Sums

Dandan Chen, Siyu Yin

arXiv preprint

DOI

2024

On the total number of ones associated with cranks of partitions modulo 11

Dandan Chen, Rong Chen, Siyu Yin

arXiv preprint

2024

A conjecture of Radu and Sellers on congruences modulo powers of 2 for broken 3-diamond partitions

Dandan Chen, Rong Chen, Siyu Yin

arXiv preprint

2024

A conjecture of Gasper on $q$-ultraspherical polynomials

Dandan Chen, Siyu Yin

arXiv preprint

2024

New proofs of theorems on q-orthogonal functions

Dandan Chen, Zhiguo Liu

arXiv preprint

2019

On Decomposition of $θ_2^{2n}(τ)$ as the Sum of Lambert Series and Cusp forms

Dandan Chen, Rong Chen

arXiv preprint

陈旦旦

精选作品

期刊论文

Combinatorial Proofs for Overpartitions and Two-Colored Partitions II

COMBINATORIAL PROOFS FOR TWO-COLOUR PARTITIONS

Combinatorial proof of identities involving partitions with distinct even parts and 4-regular partitions

Congruences modulo powers of 5 and 7 for the crank and rank parity functions and related mock theta-functions

Congruence Modulo 4 for Andrews’ Even Parts Below Odd Parts Partition Function

Congruences modulo powers of 5 for the rank parity function

Generating functions of the Hurwitz class numbers associated with certain mock theta functions

Mock theta函数的表示

On a class of elliptic functions associated with even Dirichlet characters

Representations of mock theta functions

COMBINATORIAL PROOFS

预印本

Indefinite theta vectors and generalized Nahm sums of arbitrary rank

Combinatorial Proofs for Two-Color Partition Identities Involving Overpartitions and Minimal Excludants

Combinatorial proofs for partitions with repeated smallest part

A generalization of the Mordell integral

Congruences modulo powers of $7$ for $k$-elongated plane partitions

Congruences modulo powers of $3$ for generalized Frobenius partitions $CΨ_{6,0}$

On Bilateral Multiple Sums and Rogers-Ramanujan Type Identities

Congruences Modulo Powers of 7 for the Reciprocal Crank Parity Function

Rogers-Ramanujan Type Identities Involving Double Sums

On the total number of ones associated with cranks of partitions modulo 11

A conjecture of Radu and Sellers on congruences modulo powers of 2 for broken 3-diamond partitions

A conjecture of Gasper on $q$-ultraspherical polynomials

New proofs of theorems on q-orthogonal functions

On Decomposition of $θ_2^{2n}(τ)$ as the Sum of Lambert Series and Cusp forms

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