Roy, ArindamArindamRoyVatwani, AkshaaAkshaaVatwani2025-08-312025-08-312021-01-0110.1090/tran/82612-s2.0-85097882757https://d8.irins.org/handle/IITG2025/23792We consider a certain class of multiplicative functions f : ℕ → C and study the distribution of zeros of Dirichlet polynomials FN(s) = Σn≤N f(n)n-s corresponding to these functions. We prove that the known nontrivial zero-free half-plane for Dirichlet polynomials associated to this class of multiplicative functions is optimal. We also introduce a characterization of elements in this class based on a new parameter depending on the Dirichlet series F(s) = Σ∞n=1 f(n)n-s. In this context, we obtain nontrivial regions in which the associated Dirichlet polynomials do have zeros.trueApproximate functional equation | Dirichlet polynomials | Distribution of zeros | K-bounded functions | LfunctionsArticlehttps://arxiv.org/pdf/1912.0371110886850643-661January 20214arJournal4WOS:000604947700020