Dongxi Ye

activity

20242026

collaborators

5 papers

math.NT2026

On the Petersson norm $⟨ I^¸_{I ¨} , I^¸_{I ¨} ⟩$

Wei-Lun Tsai, Dongxi Ye

Let $K$ be an imaginary quadratic field of discriminant~ $- d < - 11$ , and for $ℓ \geq 1$ , let $I ¨ $ be a Hecke character of $K$ with trivial finite conductor and infinite type~$(2\ell,…

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}{I ¨} $

Mark van Hoeij, Wei-Lun Tsai, Dongxi Ye

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

math.NT2024

Lucas congruences using modular forms

Frits Beukers, Wei-Lun Tsai, Dongxi Ye

In this work, we prove that many ApÃ©ry-like sequences arising from modular forms satisfy the Lucas congruences modulo any prime. As an implication, we completely affirm four conje…

On the Petersson norm ⟨I^¸I¨​,I^¸I¨​⟩

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 I¨1​

Lucas congruences using modular forms

On the Petersson norm $⟨ I^¸_{I ¨} , I^¸_{I ¨} ⟩$

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}{I ¨} $