Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963670058> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W2963670058 endingPage "53" @default.
- W2963670058 startingPage "45" @default.
- W2963670058 abstract "We seek to understand how the technical definition of a Lehmer pair can be related to more analytic properties of the Riemann zeta function, particularly the location of the zeros of ζ′(s). Because we are interested in the connection [Csordas et al. 94 [Csordas et al. 94] G. Csordas, W. Smith, R. Varga. “Lehmer Pairs of Zeros, the de Bruijn-Newman Constant, and the Riemann Hypothesis.” Constr. Approx. 10 (1994), 107–129.[Crossref], [Web of Science ®] , [Google Scholar]] between Lehmer pairs and the de Bruijn–Newman constant Λ, we assume the Riemann hypothesis throughout. We define strong Lehmer pairs via an inequality on the derivative of the pre-Schwarzian of Riemann’s function Ξ(t), evaluated at consecutive zeros: Theorem 1 shows that strong Lehmer pairs are Lehmer pairs. Theorem 2 describes PΞ′(γ) in terms of ζ′(ρ) where ρ = 1/2 + iγ. Theorem 3 expresses PΞ′(γ+) + PΞ′(γ−) in terms of nearby zeros ρ′ of ζ′(s). We examine 114, 661 pairs of zeros of ζ(s) around height t = 106, finding 855 strong Lehmer pairs. These are compared to the corresponding zeros of ζ′(s) in the same range." @default.
- W2963670058 created "2019-07-30" @default.
- W2963670058 creator A5080792963 @default.
- W2963670058 date "2016-07-07" @default.
- W2963670058 modified "2023-10-12" @default.
- W2963670058 title "Lehmer Pairs Revisited" @default.
- W2963670058 cites W1980116773 @default.
- W2963670058 cites W2008486284 @default.
- W2963670058 cites W2039017895 @default.
- W2963670058 cites W2080252578 @default.
- W2963670058 cites W2092645710 @default.
- W2963670058 cites W2093285600 @default.
- W2963670058 cites W2112068204 @default.
- W2963670058 cites W4239940795 @default.
- W2963670058 cites W4254906725 @default.
- W2963670058 doi "https://doi.org/10.1080/10586458.2015.1107870" @default.
- W2963670058 hasPublicationYear "2016" @default.
- W2963670058 type Work @default.
- W2963670058 sameAs 2963670058 @default.
- W2963670058 citedByCount "6" @default.
- W2963670058 countsByYear W29636700582016 @default.
- W2963670058 countsByYear W29636700582018 @default.
- W2963670058 countsByYear W29636700582019 @default.
- W2963670058 countsByYear W29636700582020 @default.
- W2963670058 crossrefType "journal-article" @default.
- W2963670058 hasAuthorship W2963670058A5080792963 @default.
- W2963670058 hasConcept C114614502 @default.
- W2963670058 hasConcept C13355873 @default.
- W2963670058 hasConcept C14036430 @default.
- W2963670058 hasConcept C170320093 @default.
- W2963670058 hasConcept C199360897 @default.
- W2963670058 hasConcept C199479865 @default.
- W2963670058 hasConcept C202444582 @default.
- W2963670058 hasConcept C2524010 @default.
- W2963670058 hasConcept C2777027219 @default.
- W2963670058 hasConcept C33923547 @default.
- W2963670058 hasConcept C35235930 @default.
- W2963670058 hasConcept C41008148 @default.
- W2963670058 hasConcept C78458016 @default.
- W2963670058 hasConcept C86803240 @default.
- W2963670058 hasConceptScore W2963670058C114614502 @default.
- W2963670058 hasConceptScore W2963670058C13355873 @default.
- W2963670058 hasConceptScore W2963670058C14036430 @default.
- W2963670058 hasConceptScore W2963670058C170320093 @default.
- W2963670058 hasConceptScore W2963670058C199360897 @default.
- W2963670058 hasConceptScore W2963670058C199479865 @default.
- W2963670058 hasConceptScore W2963670058C202444582 @default.
- W2963670058 hasConceptScore W2963670058C2524010 @default.
- W2963670058 hasConceptScore W2963670058C2777027219 @default.
- W2963670058 hasConceptScore W2963670058C33923547 @default.
- W2963670058 hasConceptScore W2963670058C35235930 @default.
- W2963670058 hasConceptScore W2963670058C41008148 @default.
- W2963670058 hasConceptScore W2963670058C78458016 @default.
- W2963670058 hasConceptScore W2963670058C86803240 @default.
- W2963670058 hasIssue "1" @default.
- W2963670058 hasLocation W29636700581 @default.
- W2963670058 hasOpenAccess W2963670058 @default.
- W2963670058 hasPrimaryLocation W29636700581 @default.
- W2963670058 hasRelatedWork W1513480133 @default.
- W2963670058 hasRelatedWork W2086661656 @default.
- W2963670058 hasRelatedWork W2610184042 @default.
- W2963670058 hasRelatedWork W2964407532 @default.
- W2963670058 hasRelatedWork W2986559382 @default.
- W2963670058 hasRelatedWork W3129435903 @default.
- W2963670058 hasRelatedWork W4200426778 @default.
- W2963670058 hasRelatedWork W4288019650 @default.
- W2963670058 hasRelatedWork W4294651012 @default.
- W2963670058 hasRelatedWork W3200545397 @default.
- W2963670058 hasVolume "26" @default.
- W2963670058 isParatext "false" @default.
- W2963670058 isRetracted "false" @default.
- W2963670058 magId "2963670058" @default.
- W2963670058 workType "article" @default.