A generalization of Davenport's constant and its arithmetical applications

• Autorzy: Franz Halter-Koch
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1992
• Tom: 63
• Numer: 2
• Strony: 203-210

Daty

wydano

1992

otrzymano

1991-01-14

Twórcy

autor

Franz Halter-Koch

• Institut Für Mathematik, Karl-Franzens-Universität, Heinrichstrasse 36, A-8010 Graz, Austria

Bibliografia

• [1] P. C. Baayen, Een combinatorisch problem voor eindige Abelse groepen, Math. Centrum Syllabus 5, Coll. Discrete Wiskunde Caput 3, Math. Centre Amsterdam, 1968.
• [2] P. van Emde Boas, A combinatorial problem on finite Abelian groups II, Stichting Mathematisch Centrum Amsterdam, Report ZW 1969-007, 1969.
• [3] P. van Emde Boas and D. Kruyswijk, A combinatorial problem on finite abelian groups III, Stichting Mathematisch Centrum Amsterdam, Report ZW 1969-008, 1969.
• [4] A. Geroldinger, Über nicht-eindeutige Zerlegungen in irreduzible Elemente, Math. Z. 197 (1988), 505-529.
• [5] F. Halter-Koch, Factorization of algebraic integers, Ber. Math.-Stat. Sektion Forschungszentrum Graz 191 (1983).
• [6] F. Halter-Koch and W. Müller, Quantitative aspects of non-unique factorization: A general theory with applications to algebraic function fields, J. Reine Angew. Math. 421 (1991), 159-188.
• [7] J. Kaczorowski, Some remarks on factorization in algebraic number fields, Acta Arith. 43 (1983), 53-68.
• [8] W. Narkiewicz, Finite abelian groups and factorization problems, Colloq. Math. 42 (1979), 319-330.
• [9] W. Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers, Springer, 1990.
• [10] J. E. Olson, A combinatorial problem on finite Abelian groups, I, J. Number Theory 1 (1969), 8-10.
• [11] J. E. Olson, A combinatorial problem on finite Abelian groups, II, ibid., 195-199.
• [12] P. Rémond, Étude asymptotique de certaines partitions dans certaines semi- groupes, Ann. Sci. École Norm. Sup. 83 (1966), 343-410.