Literaturnachweis - Detailanzeige
Autor/in | Dobbs, David E. |
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Titel | Detecting Prime Numbers via Roots of Polynomials |
Quelle | In: International Journal of Mathematical Education in Science and Technology, 43 (2012) 3, S.381-387 (7 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0020-739X |
DOI | 10.1080/0020739X.2011.582182 |
Schlagwörter | Introductory Courses; Number Concepts; Numbers; Algebra; Mathematical Formulas; Numeracy; Classroom Techniques; Teaching Methods; Equations (Mathematics) |
Abstract | It is proved that an integer n [greater than or equal] 2 is a prime (resp., composite) number if and only if there exists exactly one (resp., more than one) nth-degree monic polynomial f with coefficients in Z[subscript n], the ring of integers modulo n, such that each element of Z[subscript n] is a root of f. This classroom note could find use in any introductory course on abstract algebra or elementary number theory. (As Provided). |
Anmerkungen | Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |