Xuejun Guo

collaborators

3 papers

math.NT2022

Distribution of the k-regular partition function modulo composite integers M

Yiwen Lu, Xuejun Guo

Let $b_{k} (n)$ denote the $k -$ regular partitons of a natural number $n$ . In this paper, we study the behavior of $b_{k} (n)$ modulo composite integers $M$ which are coprime to $6$ . 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 $A (n)$ be the number of Schur's partitions of $n$ , i.e., the number of partitions of $n$ into distin…

math.NT2022

The rank of 2-Selmer group associate to $θ$ -congruent numbers

Tao Wei, Xuejun Guo

We study the parity of rank of $2$ - $Selmer$ groups associated to $π /3$ and $2 π /3$ -congruent numbers. Our second result gives some positive densities about $π /3$ and $2 π /3$ no…

Distribution of the k-regular partition function modulo composite integers M

An improvement on the parity of Schur's partition function

The rank of 2-Selmer group associate to θ-congruent numbers

The rank of 2-Selmer group associate to $θ$ -congruent numbers