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Asymptotic Formula for the Coordinates of the Zeros of Sections of the Zeta Function, ζ(N)(s), Near s = 1

The sum, Σ1(N)n(-8) = ζN(s), s = σ + it, is called a section of the Riemann zeta function, ζ(s). Here an asymptotic formula, for large N, giving the location of the zeros of ζN(s) near s = 1 will be demonstrated. In particular these zeros will lie in σ < 1. Relationships between the location of t...

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Bibliografiske detaljer
Udgivet i:Proc Natl Acad Sci U S A
Hovedforfatter: Levinson, Norman
Format: Artigo
Sprog:Inglês
Udgivet: National Academy of Sciences 1973
Fag:
Online adgang:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC433407/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592081/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.70.4.985
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