Matches in SemOpenAlex for { <https://semopenalex.org/work/W2024621281> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W2024621281 endingPage "1697" @default.
- W2024621281 startingPage "1678" @default.
- W2024621281 abstract "A set { a 1 , … , a m } of m distinct positive integers is called a Diophantine m -tuple if a i a j + 1 is a perfect square for all i , j with 1 ⩽ i < j ⩽ m . It is conjectured that if { a , b , c , d } is a Diophantine quadruple with a < b < c < d , then d = d + , where d + = a + b + c + 2 a b c + 2 r s t and r = a b + 1 , s = a c + 1 , t = b c + 1 . In this paper, we show that if { a , b , c , d , e } is a Diophantine quintuple with a < b < c < d < e , then d = d + ." @default.
- W2024621281 created "2016-06-24" @default.
- W2024621281 creator A5089721623 @default.
- W2024621281 date "2009-07-01" @default.
- W2024621281 modified "2023-09-29" @default.
- W2024621281 title "Any Diophantine quintuple contains a regular Diophantine quadruple" @default.
- W2024621281 cites W1541970503 @default.
- W2024621281 cites W1975413201 @default.
- W2024621281 cites W1995660901 @default.
- W2024621281 cites W1999714276 @default.
- W2024621281 cites W2025093938 @default.
- W2024621281 cites W2087416278 @default.
- W2024621281 cites W2144042597 @default.
- W2024621281 cites W2297456208 @default.
- W2024621281 cites W4239678843 @default.
- W2024621281 cites W4256378823 @default.
- W2024621281 doi "https://doi.org/10.1016/j.jnt.2009.01.001" @default.
- W2024621281 hasPublicationYear "2009" @default.
- W2024621281 type Work @default.
- W2024621281 sameAs 2024621281 @default.
- W2024621281 citedByCount "30" @default.
- W2024621281 countsByYear W20246212812012 @default.
- W2024621281 countsByYear W20246212812013 @default.
- W2024621281 countsByYear W20246212812014 @default.
- W2024621281 countsByYear W20246212812015 @default.
- W2024621281 countsByYear W20246212812016 @default.
- W2024621281 countsByYear W20246212812017 @default.
- W2024621281 countsByYear W20246212812018 @default.
- W2024621281 countsByYear W20246212812020 @default.
- W2024621281 countsByYear W20246212812021 @default.
- W2024621281 countsByYear W20246212812022 @default.
- W2024621281 crossrefType "journal-article" @default.
- W2024621281 hasAuthorship W2024621281A5089721623 @default.
- W2024621281 hasBestOaLocation W20246212811 @default.
- W2024621281 hasConcept C118615104 @default.
- W2024621281 hasConcept C202444582 @default.
- W2024621281 hasConcept C206530611 @default.
- W2024621281 hasConcept C33923547 @default.
- W2024621281 hasConcept C40621787 @default.
- W2024621281 hasConcept C555856410 @default.
- W2024621281 hasConceptScore W2024621281C118615104 @default.
- W2024621281 hasConceptScore W2024621281C202444582 @default.
- W2024621281 hasConceptScore W2024621281C206530611 @default.
- W2024621281 hasConceptScore W2024621281C33923547 @default.
- W2024621281 hasConceptScore W2024621281C40621787 @default.
- W2024621281 hasConceptScore W2024621281C555856410 @default.
- W2024621281 hasIssue "7" @default.
- W2024621281 hasLocation W20246212811 @default.
- W2024621281 hasOpenAccess W2024621281 @default.
- W2024621281 hasPrimaryLocation W20246212811 @default.
- W2024621281 hasRelatedWork W1637559744 @default.
- W2024621281 hasRelatedWork W1964186911 @default.
- W2024621281 hasRelatedWork W2043647550 @default.
- W2024621281 hasRelatedWork W2062947043 @default.
- W2024621281 hasRelatedWork W2078786631 @default.
- W2024621281 hasRelatedWork W2089276609 @default.
- W2024621281 hasRelatedWork W2474717536 @default.
- W2024621281 hasRelatedWork W2597537107 @default.
- W2024621281 hasRelatedWork W2727126340 @default.
- W2024621281 hasRelatedWork W4249600134 @default.
- W2024621281 hasVolume "129" @default.
- W2024621281 isParatext "false" @default.
- W2024621281 isRetracted "false" @default.
- W2024621281 magId "2024621281" @default.
- W2024621281 workType "article" @default.