2 papers
math.NT2022
Distribution of the k-regular partition function modulo composite integers M
Yiwen Lu, Xuejun Guo
Let denote the regular partitons of a natural number . In this paper, we study the behavior of modulo composite integers which are coprime to . Spec…
math.NT2022
An improvement on the parity of Schur's partition function
Yiwen Lu, Tao Wei, Xuejun Guo
We improve S.-C. Chen's result on the parity of Schur's partition function. Let be the number of Schur's partitions of , i.e., the number of partitions of into distin…