Tao Wei

collaborators

4 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 $A (n)$ 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…

math.NT2022

Mahler measures and $L$ -values of elliptic curves over real quadratic fields

Zhengyu Tao, Xuejun Guo, Tao Wei

A famous formula of Rodriguez Villegas shows that the Mahler measures $m (k)$ of $P_{k} (x, y) = x + 1/ x + y + 1/ y + k$ can be written as a Kronecker-Eisenstein series. We prove that the degree o…

math.NT2022

Some new Ramanujan-Sato series for $1/ π$

Tao Wei, Zhengyu Tao, Xuejun Guo

We derive 10 new Ramanujan-Sato series of $1/ π$ by using the method of Huber, Schultz and Ye. The levels of these series are 14, 15, 16, 20, 21, 22, 26, 35, 39.

An improvement on the parity of Schur's partition function

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

Mahler measures and L-values of elliptic curves over real quadratic fields

Some new Ramanujan-Sato series for 1/π

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

Mahler measures and $L$ -values of elliptic curves over real quadratic fields

Some new Ramanujan-Sato series for $1/ π$