Xue Hui

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20112026

most citedProducts of Nearly Holomorphic Eigenforms

11 citations · 11 across the 6 of their papers we have counts for

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math.NT2024

Signs of the Second Coefficients of Hecke Polynomials

Erick Ross, Hui Xue

Let $T_{m} (N, k, χ)$ be the $m$ -th Hecke operator of level $N$ , weight $k \geq 2$ , and nebentypus $χ$ , where $N$ is coprime to $m$ . We first show that for any given $m \geq 1$ , the sec…

math.NT2024

Nonvanishing of Second Coefficients of Hecke Polynomials on the Newspace

William Cason, Akash Jim, Charlie Medlock +3

For $m \geq 1$ , let $N \geq 1$ be coprime to $m$ , $k \geq 2$ , and $χ$ be a Dirichlet character modulo $N$ with $χ (- 1) = (- 1)^{k}$ . Then let $T_{m}^{new} (N, k, χ)$ denote the restric…