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References:
[1] CHAPMAN S. T.-FREEZE M.-GAO W. D.-SMITH W. W.: On Davenport's constant of finite abelian groups. Far East J. Math. Sci. (FJMS) 5 (2002), 47-54. MR 1903437 | Zbl 1149.11301
[2] Arithmetical Properties of Commutative Rings and Monoids. (S. T. Chapman, ed.), Lecture Notes in Pure and Appl. Math. 241, Dekker/CRC Press, New York, 2005. MR 2140683 | Zbl 1061.13001
[3] GAO W. D.: On Davenport's constant of finite abelian groups with rank three. Discrete Math. 222 (2000), 111-124. MR 1771393 | Zbl 0971.20032
[4] GAO W. D.: On a combinatorial problem connected with factorizations. Colloq. Math. 72 (1997), 251-268. MR 1426700 | Zbl 0867.11075
[5] GEROLDINGER A.: Ein quantitatives Resultat über Faktorisierungen verschiedener Länge in algebraischen Zahlkörpern. Math. Z. 205 (1990), 159-162. MR 1069491 | Zbl 0721.11041
[6] GEROLDINGER A.-HALTER-KOCH F.: Nonunique factorizations in block semigroups and arithmetical applications. Math. Slovaca 42 (1992), 641-661. MR 1202179
[7] GEROLDINGER A.-HALTER-KOCH F.: Congruence monoids. Acta Arith. 112 (2004), 263-296. MR 2046184 | Zbl 1057.13003
[8] GEROLDINGER A.-HALTER-KOCH F.: Transfer principles in the theory of non-unique factorization. In: Arithmetical Properties of Commutative Rings and Monoids (S. T. Chapman, ed.), Lecture Notes in Pure and Appl. Math. 241, Dekker/CRC Press, New York, 2005, pp. 114-142. MR 2140689
[9] GEROLDINGER A.-HALTER-KOCH F.-KACZOROWSKI J.: Non-unique factorizations in orders of global fields. J. Reine Angew. Math. 459 (1995), 89-118. MR 1319518 | Zbl 0812.11061
[10] GEROLDINGER A.-KACZOROWSKI J.: Analytic and arithmetic theory of semigroups with divisor theory. Sem. Theor. Nombres Bordeaux (2) 4 (1992), 199-238. MR 1208863 | Zbl 0780.11046
[11] GEROLDINGER A.-SCHNEIDER R.: On Davenport's constant. J. Combin. Theory Ser. A 61 (1992), 147-152. MR 1178393 | Zbl 0759.20008
[12] HALTER-KOCH F.: Chebotarev formations and quantitative aspects of nonunique factorizations. Acta Arith. 62 (1992), 173-206. MR 1183988
[13] HALTER-KOCH F.: Factorization problems in class number two. Colloq. Math. 65 (1993), 255-265. MR 1240171 | Zbl 0816.11053
[14] HALTER-KOCH F.: Ideal Systems. An Introduction to Multiplicative Ideal Theory. Pure and Applied Mathematics, Marcel Dekker 211, Marcel Dekker Inc., New York, 1998. MR 1828371 | Zbl 0953.13001
[15] KACZOROWSKI J.: Some remarks on factorization in algebraic number fields. Acta Arith. 43 (1983), 53-68. MR 0730848 | Zbl 0526.12006
[16] KACZOROWSKI J.-PERELLI A.: Functional independence of the singularities of a class of Dirichlet series. Amer. J. Math. 120 (1998), 289-303. MR 1613634 | Zbl 0905.11036
[17] KACZOROWSKI J.-PINTZ J.: Oscillatory properties of arithmetical functions II. Acta Math. Hungar. 49 (1987), 441-453. MR 0891057 | Zbl 0631.10026
[18] NARKIEWICZ W.: Finite abelian groups and factorization problems. Colloq. Math. 42 (1979), 319-330. MR 0567570 | Zbl 0514.12004
[19] NARKIEWICZ W.-ŚLIWA J.: Finite abelian groups and factorization problems II. Colloq. Math. 46 (1982), 115-122. MR 0672371 | Zbl 1164.20358
[20] NARKIEWICZ W.: Elementary and Analytic Theory of Algebraic Numbers. (3rd ed.), Springer-Verlag, Berlin, 2004. MR 2078267 | Zbl 1159.11039
[21] NATHANSON M. B.: Additive Number Theory. Grad. Texts in Math. 165, Springer-Verlag, New York, 1996. MR 1395371 | Zbl 0859.11003
[22] OLSON J. E.: A combinatorial problem on finite Abelian groups I. J. Number Theory 1 (1969), 8-10. MR 0237641 | Zbl 0169.02003
[23] OLSON J. E.: A combinatorial problem on finite Abelian groups II. J. Number Theory 1 (1969), 195-199. MR 0240200 | Zbl 0167.28004
[24] RADZIEJEWSKI M.: On the distribution of algebraic numbers with prescribed factorization properties. Acta Arith. 116 (2005), 153-171. MR 2110393 | Zbl 1136.11064
[25] RADZIEJEWSKI M.: Oscillations of error terms associated with certain arithmetical functions. Monatsh. Math. (2005) (To appear). MR 2123959 | Zbl 1099.11056
[26] RADZIEJEWSKI M.-SCHMID W. A.: On the asymptotic behavior of some counting functions. Colloq. Math. (To appear). MR 2152660 | Zbl 1143.11346
[27] SCHMID W. A.: Arithmetic of block monoids. Math. Slovaca 54 (2004), 503-526. MR 2114621 | Zbl 1108.11084
[28] SCHMID W. A.: On the asymptotic behavior of some counting functions II. Colloq. Math. (To appear). MR 2152661 | Zbl 1143.11351
[29] VAN EMDE BOAS P.-KRUYSWIJK D.: A combinatorial problem on finite abelian groups III. Technical report, Math. Centrum, Amsterdam, Afd. zuivere Wisk. ZW 1969-008. MR 0255672 | Zbl 0245.20046
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