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Generalization of Recent Method Giving Lower Bound for N(o)(T) of Riemann's Zeta-Function
Let h(s) = π(-s/2)τ(s/2). Then, h(s)ζ(s) ∼ h(s)H(s) + h(1 - s)H(1 - s) where H(s) = Σ(1 - (log n)/log t/2π)n(-s), n ≤ t/2π, led to N(o)(T) ≥ N(T)/3. Here the extension to H(s) ∼ Σ P (1 - (log n)/log t/2π) n(-s) is made where P(x) is a polynomial such that P(0) = 0 and P(x) + P(1 - x) = 1. The earlie...
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| Autor principal: | |
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| Format: | Artigo |
| Idioma: | Inglês |
| Publicat: |
1974
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| Matèries: | |
| Accés en línia: | https://ncbi.nlm.nih.gov/pmc/articles/PMC434311/ https://ncbi.nlm.nih.gov/pubmed/16592186 |
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