Dongxi Ye

activity

20242026

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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…

math.NT2024

Lucas congruences using modular forms

Frits Beukers, Wei-Lun Tsai, Dongxi Ye

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

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

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

Lucas congruences using modular forms

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

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