Matches in SemOpenAlex for { <https://semopenalex.org/work/W4296784525> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W4296784525 abstract "Let $xi$ be a real irrational number. We are interested in sequences of linear forms in 1 and $xi$, with integer coefficients, which tend to 0. Does such a sequence exist such that the linear forms are small (with given rate of decrease) and the coefficients have some given rate of growth? If these rates are essentially geometric, a necessary condition for such a sequence to exist is that the linear forms are not too small, a condition which can be expressed precisely using the irrationality exponent of $xi$. We prove that this condition is actually sufficient, even for arbitrary rates of growth and decrease. We also make some remarks and ask some questions about multivariate generalizations connected to Fischler-Zudilin's new proof of Nesterenko's linear independence criterion." @default.
- W4296784525 created "2022-09-23" @default.
- W4296784525 creator A5010336542 @default.
- W4296784525 creator A5049983980 @default.
- W4296784525 date "2009-10-23" @default.
- W4296784525 modified "2023-10-14" @default.
- W4296784525 title "Irrationality exponent and rational approximations with prescribed growth" @default.
- W4296784525 doi "https://doi.org/10.48550/arxiv.0910.4448" @default.
- W4296784525 hasPublicationYear "2009" @default.
- W4296784525 type Work @default.
- W4296784525 citedByCount "0" @default.
- W4296784525 crossrefType "posted-content" @default.
- W4296784525 hasAuthorship W4296784525A5010336542 @default.
- W4296784525 hasAuthorship W4296784525A5049983980 @default.
- W4296784525 hasBestOaLocation W42967845251 @default.
- W4296784525 hasConcept C105795698 @default.
- W4296784525 hasConcept C114614502 @default.
- W4296784525 hasConcept C118615104 @default.
- W4296784525 hasConcept C138885662 @default.
- W4296784525 hasConcept C17744445 @default.
- W4296784525 hasConcept C199360897 @default.
- W4296784525 hasConcept C199539241 @default.
- W4296784525 hasConcept C201717286 @default.
- W4296784525 hasConcept C202444582 @default.
- W4296784525 hasConcept C2524010 @default.
- W4296784525 hasConcept C2777019708 @default.
- W4296784525 hasConcept C2778112365 @default.
- W4296784525 hasConcept C2780388253 @default.
- W4296784525 hasConcept C28826006 @default.
- W4296784525 hasConcept C33923547 @default.
- W4296784525 hasConcept C35651441 @default.
- W4296784525 hasConcept C41008148 @default.
- W4296784525 hasConcept C41895202 @default.
- W4296784525 hasConcept C54355233 @default.
- W4296784525 hasConcept C86803240 @default.
- W4296784525 hasConcept C94931360 @default.
- W4296784525 hasConcept C97137487 @default.
- W4296784525 hasConceptScore W4296784525C105795698 @default.
- W4296784525 hasConceptScore W4296784525C114614502 @default.
- W4296784525 hasConceptScore W4296784525C118615104 @default.
- W4296784525 hasConceptScore W4296784525C138885662 @default.
- W4296784525 hasConceptScore W4296784525C17744445 @default.
- W4296784525 hasConceptScore W4296784525C199360897 @default.
- W4296784525 hasConceptScore W4296784525C199539241 @default.
- W4296784525 hasConceptScore W4296784525C201717286 @default.
- W4296784525 hasConceptScore W4296784525C202444582 @default.
- W4296784525 hasConceptScore W4296784525C2524010 @default.
- W4296784525 hasConceptScore W4296784525C2777019708 @default.
- W4296784525 hasConceptScore W4296784525C2778112365 @default.
- W4296784525 hasConceptScore W4296784525C2780388253 @default.
- W4296784525 hasConceptScore W4296784525C28826006 @default.
- W4296784525 hasConceptScore W4296784525C33923547 @default.
- W4296784525 hasConceptScore W4296784525C35651441 @default.
- W4296784525 hasConceptScore W4296784525C41008148 @default.
- W4296784525 hasConceptScore W4296784525C41895202 @default.
- W4296784525 hasConceptScore W4296784525C54355233 @default.
- W4296784525 hasConceptScore W4296784525C86803240 @default.
- W4296784525 hasConceptScore W4296784525C94931360 @default.
- W4296784525 hasConceptScore W4296784525C97137487 @default.
- W4296784525 hasLocation W42967845251 @default.
- W4296784525 hasOpenAccess W4296784525 @default.
- W4296784525 hasPrimaryLocation W42967845251 @default.
- W4296784525 hasRelatedWork W1688439915 @default.
- W4296784525 hasRelatedWork W1977679893 @default.
- W4296784525 hasRelatedWork W2146875482 @default.
- W4296784525 hasRelatedWork W2224712378 @default.
- W4296784525 hasRelatedWork W2234127358 @default.
- W4296784525 hasRelatedWork W2329993381 @default.
- W4296784525 hasRelatedWork W2766657958 @default.
- W4296784525 hasRelatedWork W3010436736 @default.
- W4296784525 hasRelatedWork W4299737390 @default.
- W4296784525 hasRelatedWork W4300650541 @default.
- W4296784525 isParatext "false" @default.
- W4296784525 isRetracted "false" @default.
- W4296784525 workType "article" @default.