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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…