dc.contributor.author |
Montes, Jesús |
dc.contributor.author |
Nart, Enric |
dc.date.accessioned |
2018-07-18T12:47:04Z |
dc.date.available |
2018-07-18T12:47:04Z |
dc.date.issued |
1992 |
dc.identifier.uri |
http://hdl.handle.net/2072/330874 |
dc.format.extent |
17 p. |
dc.language.iso |
eng |
dc.rights |
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.source |
RECERCAT (Dipòsit de la Recerca de Catalunya) |
dc.subject.other |
Matemàtiques |
dc.subject.other |
Polinomis |
dc.subject.other |
Nombres primers |
dc.title |
On a Theorem of Ore |
dc.type |
info:eu-repo/semantics/article |
dc.type |
info:eu-repo/semantics/publishedVersion |
dc.subject.udc |
511 - Teoria dels nombres |
dc.embargo.terms |
cap |
dc.rights.accessLevel |
info:eu-repo/semantics/openAccess |
dc.description.abstract |
0. Ore (Math. Ann. 99. 1928, 84-I 17) developed a method for obtaining the
absolute discriminant and the prime-ideal decomposition of the rational primes in
a number field K. The method, based on Newton’s polygon techniques, worked
only when certain polynomials /i(Y), attached to any side S of the polygon, had
no multiple factors. These results are generalized in this paper finding a much
weaker condition, effectively computable, under which it is still possible to give a
complete answer to the above questions. The multiplicities of the irreducible factors
of the polynomials /;( Y) play thtn an essential role. |