On matrices associated to prime factorization of odd integers

• Veröffentlicht in: Condensed Matter Physics
• Datum: 2008
• 1. Verfasser: Bier, T.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут фізики конденсованих систем НАН України 2008
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/119636
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On matrices associated to prime factorization of odd integers / T. Bier // Condensed Matter Physics. — 2008. — Т. 11, № 4(56). — С. 723-747. — Бібліогр.: 3 назв. — англ.

In this paper we introduce in section 5 integral matrices M(n) for any factorization of an odd integer n into r distinct odd primes. The matrices appear in several versions according to a parameter ρ ϵ 2 [0, 1]; they have size 2r * 2r and their rank satisfies e.g. for ρ = 1/2 the inequalities of t...