Dongxi Ye

collaborators

3 papers

math.NT2026

Enumeration of modular forms for $I^_{1} (N)$

Timothy Huber, Jeffery Opoku, Dongxi Ye

This paper considers holomorphic modular forms for $I^_{1} (N)$ of integral weight of the form $$f^{(N)}_{\mathbf a}(Ï) =q^{s} (q^{N};q^{N})_{\infty}^{a_0}\prod_{j=1}^{\lfloor N/2 \r…

math.NT2026

The $p$ -Dissection of a Product of Quintuple Products

Taylor Daniels, Timothy Huber, James McLaughlin +1

Let $p \equiv 1 (mod 4)$ be prime, let $m$ and $n$ be integers such that $p = m^{2} + n^{2}$ , and let $b$ be a positive integer. Let $Q(z,q) = (z,q/z,q;q)_{\infty}(qz^2,q/z^2;q^2)_{\infty…

math.NT2025

Identical Vanishing of Coefficients in the Series Expansion of Eta Quotients, modulo 4, 9 and 25

Tim Huber, James McLaughlin, Dongxi Ye

Let $A (q) = \sum_{n = 0}^{\infty} a_{n} q^{n}$ and $B (q) = \sum_{n = 0}^{\infty} b_{n} q^{n}$ be two eta quotients. Previously, we considered the problem of when \[ a_n=0 <=> b_n=0. \] Here we consi…

Enumeration of modular forms for I^1​(N)

The p-Dissection of a Product of Quintuple Products

Identical Vanishing of Coefficients in the Series Expansion of Eta Quotients, modulo 4, 9 and 25

Enumeration of modular forms for $I^_{1} (N)$

The $p$ -Dissection of a Product of Quintuple Products