Matches in SemOpenAlex for { <https://semopenalex.org/work/W4225894114> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W4225894114 endingPage "118" @default.
- W4225894114 startingPage "101" @default.
- W4225894114 abstract "Let k = ℚ(3√d, ζ3), where d > 1 is a cube-free positive integer, k0 = ℚ(ζ3) be the cyclotomic field containing a primitive cube root of unity ζ3, and G ＝ Gal(k / k0). The possible prime factorizations of d in our main result in previous work (Theorem 1.1 in Aouissi et al, Preprint, arXiv:1808.04678v2) give rise to new phenomena concerning the chain Θ = (θi)i∈ℤ of lattice minima in the underlying pure cubic subfield L = ℚ(3√d) of k. The aims of the present work are to give criteria for the occurrence of generators of primitive ambiguous principal ideals (ν) ∈ PkG / Pk0 among the lattice minima Θ = (θi)i∈ℤ of the underlying pure cubic field L = ℚ(3√d), and to explain the exceptional behavior of the chain Θ for certain radicands d with impact on determining the principal factorization type of L and k by means of Voronoi's algorithm." @default.
- W4225894114 created "2022-05-05" @default.
- W4225894114 creator A5001452457 @default.
- W4225894114 creator A5032327643 @default.
- W4225894114 creator A5036760533 @default.
- W4225894114 creator A5068802637 @default.
- W4225894114 creator A5069435411 @default.
- W4225894114 date "2022-01-01" @default.
- W4225894114 modified "2023-10-14" @default.
- W4225894114 title "PRINCIPAL FACTORS AND LATTICE MINIMA IN CUBIC FIELDS" @default.
- W4225894114 cites W1495266326 @default.
- W4225894114 cites W1921907286 @default.
- W4225894114 cites W1982108022 @default.
- W4225894114 cites W2027850174 @default.
- W4225894114 cites W2055684917 @default.
- W4225894114 cites W2066067427 @default.
- W4225894114 cites W3106052391 @default.
- W4225894114 cites W4249022363 @default.
- W4225894114 cites W4250646898 @default.
- W4225894114 doi "https://doi.org/10.2206/kyushujm.76.101" @default.
- W4225894114 hasPublicationYear "2022" @default.
- W4225894114 type Work @default.
- W4225894114 citedByCount "0" @default.
- W4225894114 crossrefType "journal-article" @default.
- W4225894114 hasAuthorship W4225894114A5001452457 @default.
- W4225894114 hasAuthorship W4225894114A5032327643 @default.
- W4225894114 hasAuthorship W4225894114A5036760533 @default.
- W4225894114 hasAuthorship W4225894114A5068802637 @default.
- W4225894114 hasAuthorship W4225894114A5069435411 @default.
- W4225894114 hasBestOaLocation W42258941141 @default.
- W4225894114 hasConcept C11413529 @default.
- W4225894114 hasConcept C114614502 @default.
- W4225894114 hasConcept C121332964 @default.
- W4225894114 hasConcept C134306372 @default.
- W4225894114 hasConcept C186633575 @default.
- W4225894114 hasConcept C187834632 @default.
- W4225894114 hasConcept C24881265 @default.
- W4225894114 hasConcept C24890656 @default.
- W4225894114 hasConcept C2524010 @default.
- W4225894114 hasConcept C2781204021 @default.
- W4225894114 hasConcept C33923547 @default.
- W4225894114 hasConcept C53051483 @default.
- W4225894114 hasConceptScore W4225894114C11413529 @default.
- W4225894114 hasConceptScore W4225894114C114614502 @default.
- W4225894114 hasConceptScore W4225894114C121332964 @default.
- W4225894114 hasConceptScore W4225894114C134306372 @default.
- W4225894114 hasConceptScore W4225894114C186633575 @default.
- W4225894114 hasConceptScore W4225894114C187834632 @default.
- W4225894114 hasConceptScore W4225894114C24881265 @default.
- W4225894114 hasConceptScore W4225894114C24890656 @default.
- W4225894114 hasConceptScore W4225894114C2524010 @default.
- W4225894114 hasConceptScore W4225894114C2781204021 @default.
- W4225894114 hasConceptScore W4225894114C33923547 @default.
- W4225894114 hasConceptScore W4225894114C53051483 @default.
- W4225894114 hasIssue "1" @default.
- W4225894114 hasLocation W42258941141 @default.
- W4225894114 hasLocation W42258941142 @default.
- W4225894114 hasLocation W42258941143 @default.
- W4225894114 hasOpenAccess W4225894114 @default.
- W4225894114 hasPrimaryLocation W42258941141 @default.
- W4225894114 hasRelatedWork W1978042415 @default.
- W4225894114 hasRelatedWork W2061430950 @default.
- W4225894114 hasRelatedWork W2065550084 @default.
- W4225894114 hasRelatedWork W2097522224 @default.
- W4225894114 hasRelatedWork W2527787164 @default.
- W4225894114 hasRelatedWork W2913554672 @default.
- W4225894114 hasRelatedWork W3047004716 @default.
- W4225894114 hasRelatedWork W3091903356 @default.
- W4225894114 hasRelatedWork W4353055780 @default.
- W4225894114 hasRelatedWork W2546524382 @default.
- W4225894114 hasVolume "76" @default.
- W4225894114 isParatext "false" @default.
- W4225894114 isRetracted "false" @default.
- W4225894114 workType "article" @default.