Matches in SemOpenAlex for { <https://semopenalex.org/work/W2744027628> ?p ?o ?g. }
Showing items 1 to 62 of
62
with 100 items per page.
- W2744027628 abstract "We prove versions of Khintchine's Theorem (1924) for approximations by rational numbers whose numerators lie in randomly chosen sets of integers, and we explore the extent to which the monotonicity assumption can be removed. Roughly speaking, we show that if the number of available fractions for each denominator grows too fast, then the monotonicity assumption cannot be removed. There are questions in this random setting which may be seen as cognates of the Duffin-Schaeffer Conjecture (1941), and are likely to be more accessible. We point out that the direct random analogue of the Duffin-Schaeffer Conjecture, like the Duffin-Schaeffer Conjecture itself, implies Catlin's Conjecture (1976). It is not obvious whether the Duffin-Schaeffer Conjecture and its random version imply one another, and it is not known whether Catlin's Conjecture implies either of them. The question of whether Catlin implies Duffin-Schaeffer has been unsettled for decades." @default.
- W2744027628 created "2017-08-17" @default.
- W2744027628 creator A5032797047 @default.
- W2744027628 date "2017-08-09" @default.
- W2744027628 modified "2023-09-27" @default.
- W2744027628 title "Khintchine's Theorem with random fractions." @default.
- W2744027628 cites W1985753250 @default.
- W2744027628 cites W1996020968 @default.
- W2744027628 cites W2004477572 @default.
- W2744027628 cites W2058162277 @default.
- W2744027628 cites W2226745400 @default.
- W2744027628 cites W2751862591 @default.
- W2744027628 cites W3098775014 @default.
- W2744027628 hasPublicationYear "2017" @default.
- W2744027628 type Work @default.
- W2744027628 sameAs 2744027628 @default.
- W2744027628 citedByCount "0" @default.
- W2744027628 crossrefType "posted-content" @default.
- W2744027628 hasAuthorship W2744027628A5032797047 @default.
- W2744027628 hasConcept C114614502 @default.
- W2744027628 hasConcept C118615104 @default.
- W2744027628 hasConcept C134306372 @default.
- W2744027628 hasConcept C2524010 @default.
- W2744027628 hasConcept C2780990831 @default.
- W2744027628 hasConcept C28719098 @default.
- W2744027628 hasConcept C33923547 @default.
- W2744027628 hasConcept C72169020 @default.
- W2744027628 hasConceptScore W2744027628C114614502 @default.
- W2744027628 hasConceptScore W2744027628C118615104 @default.
- W2744027628 hasConceptScore W2744027628C134306372 @default.
- W2744027628 hasConceptScore W2744027628C2524010 @default.
- W2744027628 hasConceptScore W2744027628C2780990831 @default.
- W2744027628 hasConceptScore W2744027628C28719098 @default.
- W2744027628 hasConceptScore W2744027628C33923547 @default.
- W2744027628 hasConceptScore W2744027628C72169020 @default.
- W2744027628 hasLocation W27440276281 @default.
- W2744027628 hasOpenAccess W2744027628 @default.
- W2744027628 hasPrimaryLocation W27440276281 @default.
- W2744027628 hasRelatedWork W1669756565 @default.
- W2744027628 hasRelatedWork W1992029568 @default.
- W2744027628 hasRelatedWork W202943517 @default.
- W2744027628 hasRelatedWork W2062747326 @default.
- W2744027628 hasRelatedWork W2125461239 @default.
- W2744027628 hasRelatedWork W2326334945 @default.
- W2744027628 hasRelatedWork W2415318834 @default.
- W2744027628 hasRelatedWork W2559086842 @default.
- W2744027628 hasRelatedWork W2560436357 @default.
- W2744027628 hasRelatedWork W2648328655 @default.
- W2744027628 hasRelatedWork W2949667515 @default.
- W2744027628 hasRelatedWork W2950722662 @default.
- W2744027628 hasRelatedWork W2951259451 @default.
- W2744027628 hasRelatedWork W2951776377 @default.
- W2744027628 hasRelatedWork W2974750407 @default.
- W2744027628 hasRelatedWork W2985990507 @default.
- W2744027628 hasRelatedWork W2992158605 @default.
- W2744027628 hasRelatedWork W3098775014 @default.
- W2744027628 hasRelatedWork W3103567579 @default.
- W2744027628 hasRelatedWork W3198077961 @default.
- W2744027628 isParatext "false" @default.
- W2744027628 isRetracted "false" @default.
- W2744027628 magId "2744027628" @default.
- W2744027628 workType "article" @default.