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Deduction of Semi-Optimal Mollifier for Obtaining Lower Bound for N(0)(T) for Riemann's Zeta-Function

A mollifier played a key role in showing N(0)(T) > 1/3N(T) for large T in ref. 1 [Levinson, N. (1974) Advan. Math. 13, 383-436]. A basic problem in ref. 1 was that of obtaining an upper bound for a sum of two terms, one larger than the other. Here a deductive procedure is given for finding a mollifi...

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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 1975
Fag:
Online adgang:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC432290/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592214/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.72.1.294
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