Mengjie Zhao

activity

20242026

collaborators

3 papers

math.CO2026

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

Chen Dandan, Zhao Mengjie, Zou Ziyin

Andrews and El Bachraoui investigated two-color partitions in which even parts may occur only in blue and obtained several identities relating parity refinements of these partition…

math.CO2025

Combinatorial proofs for partitions with repeated smallest part

Dandan Chen, Rong Chen, Mengjie Zhao

Recently, Andrews and El Bachraoui considered the number of integer partitions whose smallest part is repeated exactly $k$ times and the remaining parts are not repeated. They pres…

math.CO2024

Partial Difference Sets with Denniston Parameters in Elementary Abelian $p$ -Groups

Jingjun Bao, Qing Xiang, Meng Zhao

Denniston \cite{D1969} constructed partial difference sets (PDS) with parameters $(2^{3 m}, (2^{m + r} - 2^{m} + 2^{r}) (2^{m} - 1), 2^{m} - 2^{r} + (2^{m + r} - 2^{m} + 2^{r}) (2^{r} - 2), (2^{m + r} - 2^{m} + 2^{r}) (2^{r} - 1))$ in…

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

Combinatorial proofs for partitions with repeated smallest part

Partial Difference Sets with Denniston Parameters in Elementary Abelian p-Groups

Partial Difference Sets with Denniston Parameters in Elementary Abelian $p$ -Groups