DISTINCT DEGREE FACTORIZATIONS IN ADDITIVE ARITHMETICAL SEMIGROUPS

KNOPFMACHER, A and WARLIMONT, R (1995) DISTINCT DEGREE FACTORIZATIONS IN ADDITIVE ARITHMETICAL SEMIGROUPS. MANUSCRIPTA MATHEMATICA, 87 (4). pp. 481-487. ISSN 0025-2611,

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Abstract

The probability that an element of degree n has a given factorization pattern is computed within the context of a certain class of additive arithmetical semigroups. Concrete cases of these semigroups include the semigroup of monic polynomials in one indeterminate over a finite field IFq, the multiplicative semigroups of ideals in principal orders within algebraic function fields over IFq and semigroups of integral divisors in algebraic function fields over IFq.

Item Type: Article
Uncontrolled Keywords: ;
Depositing User: Dr. Gernot Deinzer
Last Modified: 19 Oct 2022 08:37
URI: https://pred.uni-regensburg.de/id/eprint/52411

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