Matches in SemOpenAlex for { <https://semopenalex.org/work/W4226340116> ?p ?o ?g. }
Showing items 1 to 51 of
51
with 100 items per page.
- W4226340116 abstract "Let $K = mathbb{Q} (alpha) $ be a pure number field generated by a root $alpha$ of a monic irreducible polynomial $ F(x) = x^{2^ucdot 3^vcdot 5^t}-m$, with $ m neq pm 1 $ a square free rational integer, $u$, $v$ and $t$ three positive integers. In this paper, we study the monogenity of $K$. We prove that if $mnotequiv 1md4$, $mnotequiv pm 1md9$, and $mnotin{pm 1, pm 7}md{25}$, then $K$ is monogenic. But if {$mequiv 1md{4}$} or $mequiv 1md9$ or $mequiv -1md9$ and $u=2k$ for some odd integer $k$ or $uge 2$ and $mequiv 1md{25}$ or $mequiv -1md{25}$ and $u=2k$ for some odd integer $k$ or $u=v=1$ and $mequiv pm 82md{5^4}$, then $K$ is not monogenic." @default.
- W4226340116 created "2022-05-05" @default.
- W4226340116 creator A5067167438 @default.
- W4226340116 date "2022-04-05" @default.
- W4226340116 modified "2023-10-16" @default.
- W4226340116 title "On monogenity of certain pure number fields defined by $x^{2^ucdot 3^vcdot 5^t}-m$" @default.
- W4226340116 doi "https://doi.org/10.48550/arxiv.2204.02436" @default.
- W4226340116 hasPublicationYear "2022" @default.
- W4226340116 type Work @default.
- W4226340116 citedByCount "0" @default.
- W4226340116 crossrefType "posted-content" @default.
- W4226340116 hasAuthorship W4226340116A5067167438 @default.
- W4226340116 hasBestOaLocation W42263401161 @default.
- W4226340116 hasConcept C114614502 @default.
- W4226340116 hasConcept C121332964 @default.
- W4226340116 hasConcept C134306372 @default.
- W4226340116 hasConcept C163635466 @default.
- W4226340116 hasConcept C199360897 @default.
- W4226340116 hasConcept C202444582 @default.
- W4226340116 hasConcept C33923547 @default.
- W4226340116 hasConcept C41008148 @default.
- W4226340116 hasConcept C90119067 @default.
- W4226340116 hasConcept C9652623 @default.
- W4226340116 hasConcept C97137487 @default.
- W4226340116 hasConceptScore W4226340116C114614502 @default.
- W4226340116 hasConceptScore W4226340116C121332964 @default.
- W4226340116 hasConceptScore W4226340116C134306372 @default.
- W4226340116 hasConceptScore W4226340116C163635466 @default.
- W4226340116 hasConceptScore W4226340116C199360897 @default.
- W4226340116 hasConceptScore W4226340116C202444582 @default.
- W4226340116 hasConceptScore W4226340116C33923547 @default.
- W4226340116 hasConceptScore W4226340116C41008148 @default.
- W4226340116 hasConceptScore W4226340116C90119067 @default.
- W4226340116 hasConceptScore W4226340116C9652623 @default.
- W4226340116 hasConceptScore W4226340116C97137487 @default.
- W4226340116 hasLocation W42263401161 @default.
- W4226340116 hasOpenAccess W4226340116 @default.
- W4226340116 hasPrimaryLocation W42263401161 @default.
- W4226340116 hasRelatedWork W1507932363 @default.
- W4226340116 hasRelatedWork W1629772589 @default.
- W4226340116 hasRelatedWork W2048106386 @default.
- W4226340116 hasRelatedWork W2094091116 @default.
- W4226340116 hasRelatedWork W2105458451 @default.
- W4226340116 hasRelatedWork W2951774713 @default.
- W4226340116 hasRelatedWork W2964996896 @default.
- W4226340116 hasRelatedWork W3104663529 @default.
- W4226340116 hasRelatedWork W3128841043 @default.
- W4226340116 hasRelatedWork W3160192029 @default.
- W4226340116 isParatext "false" @default.
- W4226340116 isRetracted "false" @default.
- W4226340116 workType "article" @default.