Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300500227> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W4300500227 abstract "A nearly linear recurrence sequence (nlrs) is a complex sequence $(a_n)$ with the property that there exist complex numbers $A_0$,$ldots$, $A_{d-1}$ such that the sequence $big(a_{n+d}+A_{d-1}a_{n+d-1}+cdots +A_0a_nbig)_{n=0}^{infty}$ is bounded. We give an asymptotic Binet-type formula for such sequences. We compare $(a_n)$ with a natural linear recurrence sequence (lrs) $(tilde{a}_n)$ associated with it and prove under certain assumptions that the difference sequence $(a_n- tilde{a}_n)$ tends to infinity. We show that several finiteness results for lrs, in particular the Skolem-Mahler-Lech theorem and results on common terms of two lrs, are not valid anymore for nlrs with integer terms. Our main tool in these investigations is an observation that lrs with transcendental terms may have large fluctuations, quite different from lrs with algebraic terms. On the other hand we show under certain hypotheses, that though there may be infinitely many of them, the common terms of two nlrs are very sparse. The proof of this result combines our Binet-type formula with a Baker type estimate for logarithmic forms." @default.
- W4300500227 created "2022-10-03" @default.
- W4300500227 creator A5037959765 @default.
- W4300500227 creator A5065048731 @default.
- W4300500227 creator A5067137356 @default.
- W4300500227 date "2016-07-29" @default.
- W4300500227 modified "2023-10-18" @default.
- W4300500227 title "On nearly linear recurrence sequences" @default.
- W4300500227 doi "https://doi.org/10.48550/arxiv.1608.00024" @default.
- W4300500227 hasPublicationYear "2016" @default.
- W4300500227 type Work @default.
- W4300500227 citedByCount "0" @default.
- W4300500227 crossrefType "posted-content" @default.
- W4300500227 hasAuthorship W4300500227A5037959765 @default.
- W4300500227 hasAuthorship W4300500227A5065048731 @default.
- W4300500227 hasAuthorship W4300500227A5067137356 @default.
- W4300500227 hasBestOaLocation W43005002271 @default.
- W4300500227 hasConcept C114614502 @default.
- W4300500227 hasConcept C118615104 @default.
- W4300500227 hasConcept C134306372 @default.
- W4300500227 hasConcept C188370112 @default.
- W4300500227 hasConcept C18903297 @default.
- W4300500227 hasConcept C199360897 @default.
- W4300500227 hasConcept C2777299769 @default.
- W4300500227 hasConcept C2778112365 @default.
- W4300500227 hasConcept C33923547 @default.
- W4300500227 hasConcept C34388435 @default.
- W4300500227 hasConcept C39927690 @default.
- W4300500227 hasConcept C41008148 @default.
- W4300500227 hasConcept C54355233 @default.
- W4300500227 hasConcept C7321624 @default.
- W4300500227 hasConcept C86803240 @default.
- W4300500227 hasConcept C9376300 @default.
- W4300500227 hasConcept C97137487 @default.
- W4300500227 hasConceptScore W4300500227C114614502 @default.
- W4300500227 hasConceptScore W4300500227C118615104 @default.
- W4300500227 hasConceptScore W4300500227C134306372 @default.
- W4300500227 hasConceptScore W4300500227C188370112 @default.
- W4300500227 hasConceptScore W4300500227C18903297 @default.
- W4300500227 hasConceptScore W4300500227C199360897 @default.
- W4300500227 hasConceptScore W4300500227C2777299769 @default.
- W4300500227 hasConceptScore W4300500227C2778112365 @default.
- W4300500227 hasConceptScore W4300500227C33923547 @default.
- W4300500227 hasConceptScore W4300500227C34388435 @default.
- W4300500227 hasConceptScore W4300500227C39927690 @default.
- W4300500227 hasConceptScore W4300500227C41008148 @default.
- W4300500227 hasConceptScore W4300500227C54355233 @default.
- W4300500227 hasConceptScore W4300500227C7321624 @default.
- W4300500227 hasConceptScore W4300500227C86803240 @default.
- W4300500227 hasConceptScore W4300500227C9376300 @default.
- W4300500227 hasConceptScore W4300500227C97137487 @default.
- W4300500227 hasLocation W43005002271 @default.
- W4300500227 hasLocation W43005002272 @default.
- W4300500227 hasOpenAccess W4300500227 @default.
- W4300500227 hasPrimaryLocation W43005002271 @default.
- W4300500227 hasRelatedWork W1849220478 @default.
- W4300500227 hasRelatedWork W2079200173 @default.
- W4300500227 hasRelatedWork W2103480998 @default.
- W4300500227 hasRelatedWork W2124681291 @default.
- W4300500227 hasRelatedWork W2327497304 @default.
- W4300500227 hasRelatedWork W2963721618 @default.
- W4300500227 hasRelatedWork W3102632868 @default.
- W4300500227 hasRelatedWork W3102909640 @default.
- W4300500227 hasRelatedWork W4206841519 @default.
- W4300500227 hasRelatedWork W4293583970 @default.
- W4300500227 isParatext "false" @default.
- W4300500227 isRetracted "false" @default.
- W4300500227 workType "article" @default.