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Ming Ho Ng

Publications and source records attributed to Ming Ho Ng.

4 recordsLinked to original sources
arXiv2026

An omega result for the first sign change of coefficients of symmetric power $L$-functions of Hecke-Maass cusp forms

Recently, Lamzouri proved a lower bound for the least positive integer $n_f$ for which the Hecke eigenvalue $λ_f(n_f)<0$, showing it satisfies $n_f \ge (\log k)^{1-o(1)}$ for many holomorphic Hecke cusp forms of even integral weight $k$. In this paper, we extend Lamzouri's result to Hecke-Maass forms without assuming the Generalized Ramanujan Conjecture, and further prove that similar results also hold for the coefficients of symmetric power $L$-functions of Hecke-Maass forms.

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arXiv2026

On signs of coefficients of L-functions

We give a general lower bound on the frequency of sign changes in the real coefficients of L-functions of the Selberg class. We in particular recover existing results in the cases of GL(2) and GL(3), and obtain new bounds in the case of GSp(4).

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arXiv2025

On signs of Fourier coefficients on GL(n)

We study statistical properties of Fourier coefficients of automorphic forms on GL(n). For most Hecke-Maass cusp forms, we give the asymptotic number of nonvanishing coefficients, show that there is a positive proportion of sign changes among them, when these are real, and describe the asymptotic density of these signs. We generalize the results by Jääsaari obtained in the case of self-dual forms of GL(3) and our method moreover circumvents the assumption of the Generalized Ramanujan Conjecture.

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