Leírás
Zero-density theorems play an important role in the theory of Riemann and Dedekind zeta function. I will present a proof for a general zero-density theorem valid for a class of Dirichlet series which include as special cases among others the Riemann zeta-function and Dedekind zeta-functions. Due to the application of an idea of Gábor Halász these results give sharper bounds in the vicinity of the boundary line Res=1, similarly to the pioneering theorems of Gábor Halász and Paul Turán. If applied to algebraic number fields of degree n, they improve earlier results in some ranges for all n>2 (and for n=1, the case of the Riemann zeta-function).
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Topic: szeminarium
Time: Mar 5, 2024 02:15 PM Budapest
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