Hui Xue

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20242026

most citedAsymptotics and sign patterns of Hecke polynomial coefficients

3 citations · 3 across the 7 of their papers we have counts for

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math.NT2024

Non-repetition of second coefficients of Hecke polynomials

Archer Clayton, Helen Dai, Tianyu Ni +3

Let $T_{m} (N, 2 k)$ denote the $m$ -th Hecke operator on the space $S_{2 k} (Γ_{0} (N))$ of cuspidal modular forms of weight $2 k$ and level $N$ . In this paper, we study the non-repetition of…

math.NT2024★ 3 cited

Asymptotics and sign patterns of Hecke polynomial coefficients

Erick Ross, Hui Xue

We determine the asymptotic behavior of the coefficients of Hecke polynomials. In particular, this allows us to determine signs of these coefficients when the level or the weight i…

math.NT2024

On the average size of the eigenvalues of the Hecke operators

William Cason, Akash Jim, Charlie Medlock +2

We determine the average size of the eigenvalues of the Hecke operators acting on the cuspidal modular forms space $S_{k} (Γ_{0} (N))$ in both the vertical and the horizontal perspective…