Tao Wei

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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…

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