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math.NT2023
On Möbius functions from automorphic forms and a generalized Sarnak's conjecture
Zhining Wei, Shifan Zhao
In this paper, we consider Möbius functions associated with two types of -functions: Rankin-Selberg -functions of symmetric powers of distinct holomorphic cusp forms and -…
math.NT2023
On Siegel Zeros of Symmetric Power L-functions
Shifan Zhao
Let be a holomorphic cusp form of even weight for the modular group , which is assumed to be a common eigenfunction for all Hecke operators. For positive…