Matches in SemOpenAlex for { <https://semopenalex.org/work/W3207059591> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W3207059591 abstract "Thue equations and their relative and inhomogeneous extensions are well known in the literature. There exist methods, usually tedious methods, for the complete resolution of these equations. On the other hand our experiences show that such equations usually do not have extremely large solutions. Therefore in several applications it is useful to have a fast algorithm to calculate the “small” solutions of these equations. Under “small” solutions we mean the solutions, say, with absolute values or sizes $leq 10^{100}$. Such algorithms were formerly constructed for Thue equations, relative Thue equations. The relative and inhomogeneous Thue equations have applications in solving index form equations and certain resultant form equations. It is also known that certain “totally real” relative Thue equations can be reduced to absolute Thue equations (equations over $mathbb{Z}$). As a common generalization of the above results, in our paper we develop a fast algorithm for calculating “small” solutions (say with sizes $leq 10^{100}$) of inhomogeneous relative Thue equations, more exactly of certain inequalities that generalize those equations. We shall show that in the “totally real” case these can similarly be reduced to absolute inhomogeneous Thue inequalities. We also give an application to solving certain resultant equations in the relative case." @default.
- W3207059591 created "2021-10-25" @default.
- W3207059591 creator A5048968726 @default.
- W3207059591 date "2021-12-17" @default.
- W3207059591 modified "2023-09-23" @default.
- W3207059591 title "Calculating “small” solutions of inhomogeneous relative Thue inequalities" @default.
- W3207059591 cites W1570844510 @default.
- W3207059591 cites W1599036550 @default.
- W3207059591 cites W1965772345 @default.
- W3207059591 cites W1966619501 @default.
- W3207059591 cites W1967030824 @default.
- W3207059591 cites W1970411309 @default.
- W3207059591 cites W1972947556 @default.
- W3207059591 cites W1985202766 @default.
- W3207059591 cites W1999631664 @default.
- W3207059591 cites W2001227948 @default.
- W3207059591 cites W2039452340 @default.
- W3207059591 cites W2046055573 @default.
- W3207059591 cites W2075689890 @default.
- W3207059591 cites W2110501223 @default.
- W3207059591 cites W2141040012 @default.
- W3207059591 cites W2167185776 @default.
- W3207059591 cites W2288615361 @default.
- W3207059591 cites W2297456208 @default.
- W3207059591 cites W2484340437 @default.
- W3207059591 cites W2591114074 @default.
- W3207059591 cites W2964104511 @default.
- W3207059591 cites W3101497518 @default.
- W3207059591 cites W4312687101 @default.
- W3207059591 doi "https://doi.org/10.7169/facm/1876" @default.
- W3207059591 hasPublicationYear "2021" @default.
- W3207059591 type Work @default.
- W3207059591 sameAs 3207059591 @default.
- W3207059591 citedByCount "0" @default.
- W3207059591 crossrefType "journal-article" @default.
- W3207059591 hasAuthorship W3207059591A5048968726 @default.
- W3207059591 hasBestOaLocation W32070595912 @default.
- W3207059591 hasConcept C134306372 @default.
- W3207059591 hasConcept C155635571 @default.
- W3207059591 hasConcept C170036204 @default.
- W3207059591 hasConcept C177148314 @default.
- W3207059591 hasConcept C202444582 @default.
- W3207059591 hasConcept C206530611 @default.
- W3207059591 hasConcept C28826006 @default.
- W3207059591 hasConcept C33923547 @default.
- W3207059591 hasConcept C40621787 @default.
- W3207059591 hasConcept C78045399 @default.
- W3207059591 hasConceptScore W3207059591C134306372 @default.
- W3207059591 hasConceptScore W3207059591C155635571 @default.
- W3207059591 hasConceptScore W3207059591C170036204 @default.
- W3207059591 hasConceptScore W3207059591C177148314 @default.
- W3207059591 hasConceptScore W3207059591C202444582 @default.
- W3207059591 hasConceptScore W3207059591C206530611 @default.
- W3207059591 hasConceptScore W3207059591C28826006 @default.
- W3207059591 hasConceptScore W3207059591C33923547 @default.
- W3207059591 hasConceptScore W3207059591C40621787 @default.
- W3207059591 hasConceptScore W3207059591C78045399 @default.
- W3207059591 hasIssue "2" @default.
- W3207059591 hasLocation W32070595911 @default.
- W3207059591 hasLocation W32070595912 @default.
- W3207059591 hasLocation W32070595913 @default.
- W3207059591 hasOpenAccess W3207059591 @default.
- W3207059591 hasPrimaryLocation W32070595911 @default.
- W3207059591 hasRelatedWork W1971753667 @default.
- W3207059591 hasRelatedWork W1997271576 @default.
- W3207059591 hasRelatedWork W2034881304 @default.
- W3207059591 hasRelatedWork W2052275678 @default.
- W3207059591 hasRelatedWork W2055191027 @default.
- W3207059591 hasRelatedWork W2061937439 @default.
- W3207059591 hasRelatedWork W2167683897 @default.
- W3207059591 hasRelatedWork W2370854018 @default.
- W3207059591 hasRelatedWork W2559473971 @default.
- W3207059591 hasRelatedWork W3183298406 @default.
- W3207059591 hasVolume "65" @default.
- W3207059591 isParatext "false" @default.
- W3207059591 isRetracted "false" @default.
- W3207059591 magId "3207059591" @default.
- W3207059591 workType "article" @default.