Matches in SemOpenAlex for { <https://semopenalex.org/work/W2116776790> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2116776790 endingPage "147" @default.
- W2116776790 startingPage "135" @default.
- W2116776790 abstract "We are interested in how small a root of multiplicity k can be for a power series of the form f ( z ) : = 1 + ∑ n = 1 ∞ a i z i with coefficients ai in [−1, 1]. Let r(k) denote the size of the smallest root of multiplicity k possible for such a power series. We show that 1 - log ( e k 1 / 2 ) k + 1 ⩽ r ( k ) ⩽ 1 - 1 k + 1 We describe the form that the extremal power series must take and develop an algorithm that lets us compute the optimal root (which proves to be an algebraic number). The computations, for k⩽27, suggest that the upper bound is close to optimal and that r(k)∼1−c/(k+1), where c=1.230…." @default.
- W2116776790 created "2016-06-24" @default.
- W2116776790 creator A5029261392 @default.
- W2116776790 creator A5045264992 @default.
- W2116776790 creator A5052216098 @default.
- W2116776790 creator A5073915277 @default.
- W2116776790 date "1998-02-01" @default.
- W2116776790 modified "2023-10-16" @default.
- W2116776790 title "Multiple Roots of [−1, 1] Power Series" @default.
- W2116776790 doi "https://doi.org/10.1112/s0024610798005857" @default.
- W2116776790 hasPublicationYear "1998" @default.
- W2116776790 type Work @default.
- W2116776790 sameAs 2116776790 @default.
- W2116776790 citedByCount "48" @default.
- W2116776790 countsByYear W21167767902013 @default.
- W2116776790 countsByYear W21167767902014 @default.
- W2116776790 countsByYear W21167767902015 @default.
- W2116776790 countsByYear W21167767902016 @default.
- W2116776790 countsByYear W21167767902017 @default.
- W2116776790 countsByYear W21167767902018 @default.
- W2116776790 countsByYear W21167767902019 @default.
- W2116776790 countsByYear W21167767902020 @default.
- W2116776790 countsByYear W21167767902021 @default.
- W2116776790 crossrefType "journal-article" @default.
- W2116776790 hasAuthorship W2116776790A5029261392 @default.
- W2116776790 hasAuthorship W2116776790A5045264992 @default.
- W2116776790 hasAuthorship W2116776790A5052216098 @default.
- W2116776790 hasAuthorship W2116776790A5073915277 @default.
- W2116776790 hasConcept C11413529 @default.
- W2116776790 hasConcept C114614502 @default.
- W2116776790 hasConcept C118615104 @default.
- W2116776790 hasConcept C134306372 @default.
- W2116776790 hasConcept C138885662 @default.
- W2116776790 hasConcept C143724316 @default.
- W2116776790 hasConcept C151730666 @default.
- W2116776790 hasConcept C156004811 @default.
- W2116776790 hasConcept C171078966 @default.
- W2116776790 hasConcept C33923547 @default.
- W2116776790 hasConcept C41895202 @default.
- W2116776790 hasConcept C45374587 @default.
- W2116776790 hasConcept C73905626 @default.
- W2116776790 hasConcept C86803240 @default.
- W2116776790 hasConcept C9376300 @default.
- W2116776790 hasConceptScore W2116776790C11413529 @default.
- W2116776790 hasConceptScore W2116776790C114614502 @default.
- W2116776790 hasConceptScore W2116776790C118615104 @default.
- W2116776790 hasConceptScore W2116776790C134306372 @default.
- W2116776790 hasConceptScore W2116776790C138885662 @default.
- W2116776790 hasConceptScore W2116776790C143724316 @default.
- W2116776790 hasConceptScore W2116776790C151730666 @default.
- W2116776790 hasConceptScore W2116776790C156004811 @default.
- W2116776790 hasConceptScore W2116776790C171078966 @default.
- W2116776790 hasConceptScore W2116776790C33923547 @default.
- W2116776790 hasConceptScore W2116776790C41895202 @default.
- W2116776790 hasConceptScore W2116776790C45374587 @default.
- W2116776790 hasConceptScore W2116776790C73905626 @default.
- W2116776790 hasConceptScore W2116776790C86803240 @default.
- W2116776790 hasConceptScore W2116776790C9376300 @default.
- W2116776790 hasIssue "1" @default.
- W2116776790 hasLocation W21167767901 @default.
- W2116776790 hasOpenAccess W2116776790 @default.
- W2116776790 hasPrimaryLocation W21167767901 @default.
- W2116776790 hasRelatedWork W1160629455 @default.
- W2116776790 hasRelatedWork W1996331278 @default.
- W2116776790 hasRelatedWork W2013984500 @default.
- W2116776790 hasRelatedWork W2112811681 @default.
- W2116776790 hasRelatedWork W2116776790 @default.
- W2116776790 hasRelatedWork W2328925608 @default.
- W2116776790 hasRelatedWork W2385477897 @default.
- W2116776790 hasRelatedWork W2949681707 @default.
- W2116776790 hasRelatedWork W4224981932 @default.
- W2116776790 hasRelatedWork W1967389056 @default.
- W2116776790 hasVolume "57" @default.
- W2116776790 isParatext "false" @default.
- W2116776790 isRetracted "false" @default.
- W2116776790 magId "2116776790" @default.
- W2116776790 workType "article" @default.