2 papers
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…
math.NT2022
The rank of 2-Selmer group associate to -congruent numbers
Tao Wei, Xuejun Guo
We study the parity of rank of - groups associated to and -congruent numbers. Our second result gives some positive densities about and no…