Matches in SemOpenAlex for { <https://semopenalex.org/work/W2093006084> ?p ?o ?g. }
Showing items 1 to 58 of
58
with 100 items per page.
- W2093006084 endingPage "3295" @default.
- W2093006084 startingPage "3283" @default.
- W2093006084 abstract "Let X¯n=(x1,…,xn) and σi(X¯n)=∑xk1…xki be i-th elementary symmetric polynomial. In this note we prove that there are infinitely many triples of integers a, b, c such that for each 1⩽i⩽n the system of Diophantine equationsσi(X¯2n)=a,σ2n−i(X¯2n)=b,σ2n(X¯2n)=c has infinitely many rational solutions. This result extends the recent results of Zhang and Cai, and the author. Moreover, we also consider some Diophantine systems involving sums of powers. In particular, we prove that for each k there are at least k n-tuples of integers with the same sum of i-th powers for i=1,2,3. Similar result is proved for i=1,2,4 and i=−1,1,2." @default.
- W2093006084 created "2016-06-24" @default.
- W2093006084 creator A5005743799 @default.
- W2093006084 date "2013-10-01" @default.
- W2093006084 modified "2023-10-16" @default.
- W2093006084 title "A note on Diophantine systems involving three symmetric polynomials" @default.
- W2093006084 cites W1988671481 @default.
- W2093006084 cites W2010512871 @default.
- W2093006084 cites W2038383731 @default.
- W2093006084 cites W2329845704 @default.
- W2093006084 doi "https://doi.org/10.1016/j.jnt.2013.04.009" @default.
- W2093006084 hasPublicationYear "2013" @default.
- W2093006084 type Work @default.
- W2093006084 sameAs 2093006084 @default.
- W2093006084 citedByCount "1" @default.
- W2093006084 countsByYear W20930060842013 @default.
- W2093006084 crossrefType "journal-article" @default.
- W2093006084 hasAuthorship W2093006084A5005743799 @default.
- W2093006084 hasBestOaLocation W20930060841 @default.
- W2093006084 hasConcept C114614502 @default.
- W2093006084 hasConcept C118615104 @default.
- W2093006084 hasConcept C118930307 @default.
- W2093006084 hasConcept C134306372 @default.
- W2093006084 hasConcept C206530611 @default.
- W2093006084 hasConcept C33923547 @default.
- W2093006084 hasConcept C40621787 @default.
- W2093006084 hasConcept C90119067 @default.
- W2093006084 hasConceptScore W2093006084C114614502 @default.
- W2093006084 hasConceptScore W2093006084C118615104 @default.
- W2093006084 hasConceptScore W2093006084C118930307 @default.
- W2093006084 hasConceptScore W2093006084C134306372 @default.
- W2093006084 hasConceptScore W2093006084C206530611 @default.
- W2093006084 hasConceptScore W2093006084C33923547 @default.
- W2093006084 hasConceptScore W2093006084C40621787 @default.
- W2093006084 hasConceptScore W2093006084C90119067 @default.
- W2093006084 hasIssue "10" @default.
- W2093006084 hasLocation W20930060841 @default.
- W2093006084 hasLocation W20930060842 @default.
- W2093006084 hasLocation W20930060843 @default.
- W2093006084 hasOpenAccess W2093006084 @default.
- W2093006084 hasPrimaryLocation W20930060841 @default.
- W2093006084 hasRelatedWork W1577976412 @default.
- W2093006084 hasRelatedWork W2000621515 @default.
- W2093006084 hasRelatedWork W2030098631 @default.
- W2093006084 hasRelatedWork W2062947043 @default.
- W2093006084 hasRelatedWork W2162961843 @default.
- W2093006084 hasRelatedWork W2597537107 @default.
- W2093006084 hasRelatedWork W2963657328 @default.
- W2093006084 hasRelatedWork W3093146890 @default.
- W2093006084 hasRelatedWork W4251129402 @default.
- W2093006084 hasRelatedWork W4301314360 @default.
- W2093006084 hasVolume "133" @default.
- W2093006084 isParatext "false" @default.
- W2093006084 isRetracted "false" @default.
- W2093006084 magId "2093006084" @default.
- W2093006084 workType "article" @default.