Limit Theorems for the Riemann Zeta-Function in the Space of Analytic Functions | springerprofessional.de

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1996 | OriginalPaper | Buchkapitel

Limit Theorems for the Riemann Zeta-Function in the Space of Analytic Functions

verfasst von : Antanas Laurinčikas

Erschienen in: Limit Theorems for the Riemann Zeta-Function

Verlag: Springer Netherlands

Enthalten in: Professional Book Archive

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Let D₁ = {s ∈ C: 1/2 < σ < 1} and D₂ = {s ∈ C: σ > 1}. We define the probability measures $${P_{j,T}}(A) = V_T^\tau (\zeta (s + i\tau ) \in A)$$ on (H(D_j), Β(H(D_j))), j = 1, 2. The aim of this chapter is to prove that the measures P_j,T, converge weakly to some measure as T → ∞. Let D = {s ∈ C: σ > 1/2}.

Vorheriges Kapitel Limit Theorems for the Riemann Zeta-Function on the Complex Plane

Nächstes Kapitel Universality Theorem for the Riemann Zeta-Function

Titel: Limit Theorems for the Riemann Zeta-Function in the Space of Analytic Functions
verfasst von: Antanas Laurinčikas
Verlag: Springer Netherlands
Buch: Limit Theorems for the Riemann Zeta-Function
Print ISBN: 978-90-481-4647-5

Electronic ISBN: 978-94-017-2091-5

Copyright-Jahr: 1996
DOI: https://doi.org/10.1007/978-94-017-2091-5_5

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