Dongxi Ye

collaborators

3 papers

math.NT2025

Central $L$ values of congruent number elliptic curves

Xuejun Guo, Dongxi Ye, Hongbo Yin

Let $E_{n}$ be the congruent number elliptic curve $y^{2} = x^{3} - n^{2} x$ , where $n$ is square-free and not divisible by primes $p \equiv 3 (mod 4)$ . In this paper, we prove that $L (E_{n}, 1)$ ca…

math.NT2024

Euler-type recurrences for $t$ -color and $t$ -regular partition functions

Tapas Bhowmik, Wei-Lun Tsai, Dongxi Ye

We give Euler-like recursive formulas for the $t$ -colored partition function when $t = 2$ or $t = 3,$ as well as for all $t$ -regular partition functions. In particular, we derive an in…

math.NT2024

The Modularity of Z.-W. Sun's Conjectural Formulas for $\frac{1}{π}$

Mark van Hoeij, Wei-Lun Tsai, Dongxi Ye

In this work, we establish modular parameterizations for two general formulas for $\frac{1}{π}$ that subsume conjectural Ramanujan type formulas due to Z.-W. Sun, which have remained…

Central L values of congruent number elliptic curves

Euler-type recurrences for t-color and t-regular partition functions

The Modularity of Z.-W. Sun's Conjectural Formulas for π1​

Central $L$ values of congruent number elliptic curves

Euler-type recurrences for $t$ -color and $t$ -regular partition functions

The Modularity of Z.-W. Sun's Conjectural Formulas for $\frac{1}{π}$