Matches in SemOpenAlex for { <https://semopenalex.org/work/W8161509> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W8161509 abstract "Let Z be the set of integers and SL2(Z) the set of 2×2 integral matrices with det A=1 for A2SL2(Z). If any two of SL2(Z) are commutative, then the set of such matrices we denote by SL2(Z). In this paper, we prove that Fermat's equation (�) X n +Y n =Z n has a solution in the set SL2(Z) if and only if n�1 (mod 6) or n�5 (mod 6). This criterion is connected with a criterion given recently by Khazanov (4). Moreover, we indicate a subclass of the matrices of SL2(Z) for which (�) has no solutions for arbitrary positive integers n�2." @default.
- W8161509 created "2016-06-24" @default.
- W8161509 creator A5023159259 @default.
- W8161509 date "2000-01-01" @default.
- W8161509 modified "2023-09-27" @default.
- W8161509 title "SOME REMARKS ON FERMAT'S EQUATION IN THE SET OF MATRICES" @default.
- W8161509 cites W1589887371 @default.
- W8161509 cites W2016499826 @default.
- W8161509 cites W2053785749 @default.
- W8161509 cites W2333976070 @default.
- W8161509 cites W2600245427 @default.
- W8161509 cites W844570520 @default.
- W8161509 cites W3140430288 @default.
- W8161509 hasPublicationYear "2000" @default.
- W8161509 type Work @default.
- W8161509 sameAs 8161509 @default.
- W8161509 citedByCount "2" @default.
- W8161509 crossrefType "journal-article" @default.
- W8161509 hasAuthorship W8161509A5023159259 @default.
- W8161509 hasConcept C100856211 @default.
- W8161509 hasConcept C114614502 @default.
- W8161509 hasConcept C118615104 @default.
- W8161509 hasConcept C136119220 @default.
- W8161509 hasConcept C161491579 @default.
- W8161509 hasConcept C177264268 @default.
- W8161509 hasConcept C183778304 @default.
- W8161509 hasConcept C197731005 @default.
- W8161509 hasConcept C199360897 @default.
- W8161509 hasConcept C202444582 @default.
- W8161509 hasConcept C31325772 @default.
- W8161509 hasConcept C33923547 @default.
- W8161509 hasConcept C41008148 @default.
- W8161509 hasConcept C87670640 @default.
- W8161509 hasConceptScore W8161509C100856211 @default.
- W8161509 hasConceptScore W8161509C114614502 @default.
- W8161509 hasConceptScore W8161509C118615104 @default.
- W8161509 hasConceptScore W8161509C136119220 @default.
- W8161509 hasConceptScore W8161509C161491579 @default.
- W8161509 hasConceptScore W8161509C177264268 @default.
- W8161509 hasConceptScore W8161509C183778304 @default.
- W8161509 hasConceptScore W8161509C197731005 @default.
- W8161509 hasConceptScore W8161509C199360897 @default.
- W8161509 hasConceptScore W8161509C202444582 @default.
- W8161509 hasConceptScore W8161509C31325772 @default.
- W8161509 hasConceptScore W8161509C33923547 @default.
- W8161509 hasConceptScore W8161509C41008148 @default.
- W8161509 hasConceptScore W8161509C87670640 @default.
- W8161509 hasLocation W81615091 @default.
- W8161509 hasOpenAccess W8161509 @default.
- W8161509 hasPrimaryLocation W81615091 @default.
- W8161509 hasRelatedWork W1483323953 @default.
- W8161509 hasRelatedWork W1496509201 @default.
- W8161509 hasRelatedWork W1516065091 @default.
- W8161509 hasRelatedWork W1762208854 @default.
- W8161509 hasRelatedWork W1997803604 @default.
- W8161509 hasRelatedWork W2038905187 @default.
- W8161509 hasRelatedWork W2051256651 @default.
- W8161509 hasRelatedWork W2053787323 @default.
- W8161509 hasRelatedWork W2064432610 @default.
- W8161509 hasRelatedWork W2087329883 @default.
- W8161509 hasRelatedWork W2147110278 @default.
- W8161509 hasRelatedWork W2186074037 @default.
- W8161509 hasRelatedWork W2188565897 @default.
- W8161509 hasRelatedWork W2260133564 @default.
- W8161509 hasRelatedWork W2752394261 @default.
- W8161509 hasRelatedWork W2887016385 @default.
- W8161509 hasRelatedWork W2962696742 @default.
- W8161509 hasRelatedWork W2996631427 @default.
- W8161509 hasRelatedWork W3106225258 @default.
- W8161509 hasRelatedWork W3143943893 @default.
- W8161509 isParatext "false" @default.
- W8161509 isRetracted "false" @default.
- W8161509 magId "8161509" @default.
- W8161509 workType "article" @default.