FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2149910366> ?p ?o ?g. }

• W2149910366 abstract "Abstract In a paper of 1933, D. H. Lehmer continued Pierce's study of integral sequences associated to polynomials generalizing the Mersenne sequence. He developed divisibility criteria, and suggested that prime apparition in these sequences — or in closely related sequences — would be denser if the polynomials were close to cyclotomic, using a natural measure of closeness. We review briefly some of the main developments since Lehmer's paper, and report on further computational work on these sequences. In particular, we use Mossinghoff's collection of polynomials with smallest known measure to assemble evidence for the distribution of primes in these sequences predicted by standard heuristic arguments. The calculations lend weight to standard conjectures about Mersenne primes, and the use of polynomials with small measure permits much larger numbers of primes to be generated than in the Mersenne case." @default.
• W2149910366 created "2016-06-24" @default.
• W2149910366 creator A5007430689 @default.
• W2149910366 creator A5009126028 @default.
• W2149910366 creator A5084363747 @default.
• W2149910366 date "2000-01-01" @default.
• W2149910366 modified "2023-09-25" @default.
• W2149910366 title "Primes in Sequences Associated to Polynomials (After Lehmer)" @default.
• W2149910366 cites W1480733034 @default.
• W2149910366 cites W1966068975 @default.
• W2149910366 cites W1971436047 @default.
• W2149910366 cites W1985771908 @default.
• W2149910366 cites W1988494270 @default.
• W2149910366 cites W1998754688 @default.
• W2149910366 cites W2020552336 @default.
• W2149910366 cites W2032977585 @default.
• W2149910366 cites W2068660767 @default.
• W2149910366 cites W2078745317 @default.
• W2149910366 cites W2083687258 @default.
• W2149910366 cites W2110093674 @default.
• W2149910366 cites W2315092185 @default.
• W2149910366 cites W2334368756 @default.
• W2149910366 cites W4243077053 @default.
• W2149910366 doi "https://doi.org/10.1112/s1461157000000255" @default.
• W2149910366 hasPublicationYear "2000" @default.
• W2149910366 type Work @default.
• W2149910366 sameAs 2149910366 @default.
• W2149910366 citedByCount "15" @default.
• W2149910366 countsByYear W21499103662012 @default.
• W2149910366 countsByYear W21499103662013 @default.
• W2149910366 countsByYear W21499103662015 @default.
• W2149910366 countsByYear W21499103662017 @default.
• W2149910366 countsByYear W21499103662021 @default.
• W2149910366 crossrefType "journal-article" @default.
• W2149910366 hasAuthorship W2149910366A5007430689 @default.
• W2149910366 hasAuthorship W2149910366A5009126028 @default.
• W2149910366 hasAuthorship W2149910366A5084363747 @default.
• W2149910366 hasBestOaLocation W21499103661 @default.
• W2149910366 hasConcept C10628310 @default.
• W2149910366 hasConcept C113429393 @default.
• W2149910366 hasConcept C114614502 @default.
• W2149910366 hasConcept C118615104 @default.
• W2149910366 hasConcept C154977054 @default.
• W2149910366 hasConcept C184992742 @default.
• W2149910366 hasConcept C2778112365 @default.
• W2149910366 hasConcept C2780009758 @default.
• W2149910366 hasConcept C29641680 @default.
• W2149910366 hasConcept C33923547 @default.
• W2149910366 hasConcept C41008148 @default.
• W2149910366 hasConcept C54355233 @default.
• W2149910366 hasConcept C77088390 @default.
• W2149910366 hasConcept C79117305 @default.
• W2149910366 hasConcept C86607863 @default.
• W2149910366 hasConcept C86803240 @default.
• W2149910366 hasConcept C9991821 @default.
• W2149910366 hasConceptScore W2149910366C10628310 @default.
• W2149910366 hasConceptScore W2149910366C113429393 @default.
• W2149910366 hasConceptScore W2149910366C114614502 @default.
• W2149910366 hasConceptScore W2149910366C118615104 @default.
• W2149910366 hasConceptScore W2149910366C154977054 @default.
• W2149910366 hasConceptScore W2149910366C184992742 @default.
• W2149910366 hasConceptScore W2149910366C2778112365 @default.
• W2149910366 hasConceptScore W2149910366C2780009758 @default.
• W2149910366 hasConceptScore W2149910366C29641680 @default.
• W2149910366 hasConceptScore W2149910366C33923547 @default.
• W2149910366 hasConceptScore W2149910366C41008148 @default.
• W2149910366 hasConceptScore W2149910366C54355233 @default.
• W2149910366 hasConceptScore W2149910366C77088390 @default.
• W2149910366 hasConceptScore W2149910366C79117305 @default.
• W2149910366 hasConceptScore W2149910366C86607863 @default.
• W2149910366 hasConceptScore W2149910366C86803240 @default.
• W2149910366 hasConceptScore W2149910366C9991821 @default.
• W2149910366 hasLocation W21499103661 @default.
• W2149910366 hasLocation W21499103662 @default.
• W2149910366 hasLocation W21499103663 @default.
• W2149910366 hasOpenAccess W2149910366 @default.
• W2149910366 hasPrimaryLocation W21499103661 @default.
• W2149910366 hasRelatedWork W106830658 @default.
• W2149910366 hasRelatedWork W1480733034 @default.
• W2149910366 hasRelatedWork W1563654733 @default.
• W2149910366 hasRelatedWork W1666472118 @default.
• W2149910366 hasRelatedWork W1880384462 @default.
• W2149910366 hasRelatedWork W1978329369 @default.
• W2149910366 hasRelatedWork W2004877418 @default.
• W2149910366 hasRelatedWork W2256280530 @default.
• W2149910366 hasRelatedWork W2334368756 @default.
• W2149910366 hasRelatedWork W2951497657 @default.
• W2149910366 hasRelatedWork W2962993818 @default.
• W2149910366 hasRelatedWork W301477282 @default.
• W2149910366 hasRelatedWork W3028789992 @default.
• W2149910366 hasRelatedWork W3081586292 @default.
• W2149910366 hasRelatedWork W3101620942 @default.
• W2149910366 hasRelatedWork W32309439 @default.
• W2149910366 hasRelatedWork W342807941 @default.
• W2149910366 hasRelatedWork W417099867 @default.
• W2149910366 hasRelatedWork W828584324 @default.
• W2149910366 hasRelatedWork W934517399 @default.
• W2149910366 isParatext "false" @default.
• W2149910366 isRetracted "false" @default.
• W2149910366 magId "2149910366" @default.

• next