Matches in SemOpenAlex for { <https://semopenalex.org/work/W4311852055> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W4311852055 abstract "Let $F(X) = sum_{n geq 0} (-1)^{varepsilon_n} X^{-lambda_n}$ be a real lacunary formal power series, where $varepsilon_n = 0, 1$ and $lambda_{n+1}/lambda_n > 2$. It is known that the denominators $Q_n(X)$ of the convergents of its continued fraction expansion are polynomials with coefficients $0, pm 1$, and that the number of nonzero terms in $Q_n(X)$ is the $n$th term of the Stern-Brocot sequence. We show that replacing the index $n$ by any 2-adic integer $omega$ makes sense. We prove that $Q_{omega}(X)$ is a polynomial if and only if $omega in {mathbb Z}$. In all the other cases $Q_{omega}(X)$ is an infinite formal power series, the algebraic properties of which we discuss in the special case $lambda_n = 2^{n+1} - 1$." @default.
- W4311852055 created "2023-01-01" @default.
- W4311852055 creator A5018323679 @default.
- W4311852055 creator A5065849453 @default.
- W4311852055 date "2012-02-01" @default.
- W4311852055 modified "2023-09-23" @default.
- W4311852055 title "Lacunary formal power series and the Stern-Brocot sequence" @default.
- W4311852055 doi "https://doi.org/10.48550/arxiv.1202.0211" @default.
- W4311852055 hasPublicationYear "2012" @default.
- W4311852055 type Work @default.
- W4311852055 citedByCount "0" @default.
- W4311852055 crossrefType "posted-content" @default.
- W4311852055 hasAuthorship W4311852055A5018323679 @default.
- W4311852055 hasAuthorship W4311852055A5065849453 @default.
- W4311852055 hasBestOaLocation W43118520551 @default.
- W4311852055 hasConcept C114614502 @default.
- W4311852055 hasConcept C118615104 @default.
- W4311852055 hasConcept C120665830 @default.
- W4311852055 hasConcept C121332964 @default.
- W4311852055 hasConcept C134306372 @default.
- W4311852055 hasConcept C143724316 @default.
- W4311852055 hasConcept C151730666 @default.
- W4311852055 hasConcept C151746172 @default.
- W4311852055 hasConcept C199360897 @default.
- W4311852055 hasConcept C2778112365 @default.
- W4311852055 hasConcept C2778113609 @default.
- W4311852055 hasConcept C2779557605 @default.
- W4311852055 hasConcept C33923547 @default.
- W4311852055 hasConcept C41008148 @default.
- W4311852055 hasConcept C54355233 @default.
- W4311852055 hasConcept C62520636 @default.
- W4311852055 hasConcept C63356602 @default.
- W4311852055 hasConcept C73905626 @default.
- W4311852055 hasConcept C86803240 @default.
- W4311852055 hasConcept C90119067 @default.
- W4311852055 hasConcept C9376300 @default.
- W4311852055 hasConcept C97137487 @default.
- W4311852055 hasConceptScore W4311852055C114614502 @default.
- W4311852055 hasConceptScore W4311852055C118615104 @default.
- W4311852055 hasConceptScore W4311852055C120665830 @default.
- W4311852055 hasConceptScore W4311852055C121332964 @default.
- W4311852055 hasConceptScore W4311852055C134306372 @default.
- W4311852055 hasConceptScore W4311852055C143724316 @default.
- W4311852055 hasConceptScore W4311852055C151730666 @default.
- W4311852055 hasConceptScore W4311852055C151746172 @default.
- W4311852055 hasConceptScore W4311852055C199360897 @default.
- W4311852055 hasConceptScore W4311852055C2778112365 @default.
- W4311852055 hasConceptScore W4311852055C2778113609 @default.
- W4311852055 hasConceptScore W4311852055C2779557605 @default.
- W4311852055 hasConceptScore W4311852055C33923547 @default.
- W4311852055 hasConceptScore W4311852055C41008148 @default.
- W4311852055 hasConceptScore W4311852055C54355233 @default.
- W4311852055 hasConceptScore W4311852055C62520636 @default.
- W4311852055 hasConceptScore W4311852055C63356602 @default.
- W4311852055 hasConceptScore W4311852055C73905626 @default.
- W4311852055 hasConceptScore W4311852055C86803240 @default.
- W4311852055 hasConceptScore W4311852055C90119067 @default.
- W4311852055 hasConceptScore W4311852055C9376300 @default.
- W4311852055 hasConceptScore W4311852055C97137487 @default.
- W4311852055 hasLocation W43118520551 @default.
- W4311852055 hasOpenAccess W4311852055 @default.
- W4311852055 hasPrimaryLocation W43118520551 @default.
- W4311852055 hasRelatedWork W151486328 @default.
- W4311852055 hasRelatedWork W1908944557 @default.
- W4311852055 hasRelatedWork W2094091116 @default.
- W4311852055 hasRelatedWork W2112811681 @default.
- W4311852055 hasRelatedWork W2323663802 @default.
- W4311852055 hasRelatedWork W2408357466 @default.
- W4311852055 hasRelatedWork W2958613306 @default.
- W4311852055 hasRelatedWork W2963272800 @default.
- W4311852055 hasRelatedWork W2964090917 @default.
- W4311852055 hasRelatedWork W3185801645 @default.
- W4311852055 isParatext "false" @default.
- W4311852055 isRetracted "false" @default.
- W4311852055 workType "article" @default.