Matches in SemOpenAlex for { <https://semopenalex.org/work/W2978238960> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2978238960 abstract "We investigate Riemann's xi function $xi(s):=frac{1}{2}s(s-1)pi^{-frac{s}{2}}Gamma(frac{s}{2})zeta(s)$ (here $zeta(s)$ is the Riemann zeta function). The Riemann Hypothesis (RH) asserts that if $xi(s)=0$, then $mathrm{Re}(s)=frac{1}{2}$. Polya proved that RH is equivalent to the hyperbolicity of the Jensen polynomials $J^{d,n}(X)$ constructed from certain Taylor coefficients of $xi(s)$. For each $dgeq 1$, recent work proves that $J^{d,n}(X)$ is hyperbolic for sufficiently large $n$. Here we make this result effective. Moreover, we show how the low-lying zeros of the derivatives $xi^{(n)}(s)$ influence the hyperbolicity of $J^{d,n}(X)$." @default.
- W2978238960 created "2019-10-10" @default.
- W2978238960 creator A5017852350 @default.
- W2978238960 creator A5034810652 @default.
- W2978238960 creator A5042566789 @default.
- W2978238960 creator A5057942660 @default.
- W2978238960 creator A5077987250 @default.
- W2978238960 creator A5081048841 @default.
- W2978238960 date "2019-10-02" @default.
- W2978238960 modified "2023-09-23" @default.
- W2978238960 title "Jensen Polynomials for the Riemann Xi Function" @default.
- W2978238960 cites W2027123187 @default.
- W2978238960 cites W2046966746 @default.
- W2978238960 cites W2050345501 @default.
- W2978238960 cites W2068728923 @default.
- W2978238960 cites W2134105891 @default.
- W2978238960 cites W2154886869 @default.
- W2978238960 cites W2281218105 @default.
- W2978238960 cites W2766211314 @default.
- W2978238960 cites W2946692050 @default.
- W2978238960 cites W3045183863 @default.
- W2978238960 cites W3049226748 @default.
- W2978238960 hasPublicationYear "2019" @default.
- W2978238960 type Work @default.
- W2978238960 sameAs 2978238960 @default.
- W2978238960 citedByCount "4" @default.
- W2978238960 countsByYear W29782389602020 @default.
- W2978238960 crossrefType "posted-content" @default.
- W2978238960 hasAuthorship W2978238960A5017852350 @default.
- W2978238960 hasAuthorship W2978238960A5034810652 @default.
- W2978238960 hasAuthorship W2978238960A5042566789 @default.
- W2978238960 hasAuthorship W2978238960A5057942660 @default.
- W2978238960 hasAuthorship W2978238960A5077987250 @default.
- W2978238960 hasAuthorship W2978238960A5081048841 @default.
- W2978238960 hasConcept C114614502 @default.
- W2978238960 hasConcept C14036430 @default.
- W2978238960 hasConcept C199479865 @default.
- W2978238960 hasConcept C202444582 @default.
- W2978238960 hasConcept C33923547 @default.
- W2978238960 hasConcept C35235930 @default.
- W2978238960 hasConcept C37914503 @default.
- W2978238960 hasConcept C48902493 @default.
- W2978238960 hasConcept C78458016 @default.
- W2978238960 hasConcept C86803240 @default.
- W2978238960 hasConceptScore W2978238960C114614502 @default.
- W2978238960 hasConceptScore W2978238960C14036430 @default.
- W2978238960 hasConceptScore W2978238960C199479865 @default.
- W2978238960 hasConceptScore W2978238960C202444582 @default.
- W2978238960 hasConceptScore W2978238960C33923547 @default.
- W2978238960 hasConceptScore W2978238960C35235930 @default.
- W2978238960 hasConceptScore W2978238960C37914503 @default.
- W2978238960 hasConceptScore W2978238960C48902493 @default.
- W2978238960 hasConceptScore W2978238960C78458016 @default.
- W2978238960 hasConceptScore W2978238960C86803240 @default.
- W2978238960 hasLocation W29782389601 @default.
- W2978238960 hasOpenAccess W2978238960 @default.
- W2978238960 hasPrimaryLocation W29782389601 @default.
- W2978238960 hasRelatedWork W2012926338 @default.
- W2978238960 hasRelatedWork W2157244519 @default.
- W2978238960 hasRelatedWork W2186755314 @default.
- W2978238960 hasRelatedWork W2295436819 @default.
- W2978238960 hasRelatedWork W2467252005 @default.
- W2978238960 hasRelatedWork W2529285553 @default.
- W2978238960 hasRelatedWork W2762497266 @default.
- W2978238960 hasRelatedWork W2793219915 @default.
- W2978238960 hasRelatedWork W2883185468 @default.
- W2978238960 hasRelatedWork W2917089270 @default.
- W2978238960 hasRelatedWork W2950184273 @default.
- W2978238960 hasRelatedWork W2962856398 @default.
- W2978238960 hasRelatedWork W3012185539 @default.
- W2978238960 hasRelatedWork W3034660898 @default.
- W2978238960 hasRelatedWork W3045817395 @default.
- W2978238960 hasRelatedWork W3099651075 @default.
- W2978238960 hasRelatedWork W3136718331 @default.
- W2978238960 hasRelatedWork W3166352026 @default.
- W2978238960 hasRelatedWork W943737813 @default.
- W2978238960 isParatext "false" @default.
- W2978238960 isRetracted "false" @default.
- W2978238960 magId "2978238960" @default.
- W2978238960 workType "article" @default.