3 papers
math.NT2026
An omega result for the first sign change of coefficients of symmetric power -functions of Hecke-Maass cusp forms
Ming Ho Ng, Yingnan Wang
Recently, Lamzouri proved a lower bound for the least positive integer for which the Hecke eigenvalue , showing it satisfies for many…
math.NT2026
On signs of coefficients of L-functions
Didier Lesesvre, Ming Ho Ng, Yingnan Wang
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…
math.NT2025
On signs of Fourier coefficients on GL(n)
Didier Lesesvre, Ming Ho Ng, Yingnan Wang
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,…