Analytic and arithmetic theory of semigroups with divisor theory
Journal de théorie des nombres de Bordeaux, Tome 4 (1992) no. 2, pp. 199-238. 
@article{JTNB_1992__4_2_199_0,
     author = {Alfred Geroldinger and Jerzy Kaczorowski},
     title = {Analytic and arithmetic theory of semigroups with divisor theory},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {199--238},
     publisher = {Universit\'e Bordeaux I},
     volume = {4},
     number = {2},
     year = {1992},
     zbl = {0780.11046},
     mrnumber = {1208863},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/item/JTNB_1992__4_2_199_0/}
}
TY  - JOUR
AU  - Alfred Geroldinger
AU  - Jerzy Kaczorowski
TI  - Analytic and arithmetic theory of semigroups with divisor theory
JO  - Journal de théorie des nombres de Bordeaux
PY  - 1992
SP  - 199
EP  - 238
VL  - 4
IS  - 2
PB  - Université Bordeaux I
UR  - https://jtnb.centre-mersenne.org/item/JTNB_1992__4_2_199_0/
LA  - en
ID  - JTNB_1992__4_2_199_0
ER  - 
%0 Journal Article
%A Alfred Geroldinger
%A Jerzy Kaczorowski
%T Analytic and arithmetic theory of semigroups with divisor theory
%J Journal de théorie des nombres de Bordeaux
%D 1992
%P 199-238
%V 4
%N 2
%I Université Bordeaux I
%U https://jtnb.centre-mersenne.org/item/JTNB_1992__4_2_199_0/
%G en
%F JTNB_1992__4_2_199_0
Alfred Geroldinger; Jerzy Kaczorowski. Analytic and arithmetic theory of semigroups with divisor theory. Journal de théorie des nombres de Bordeaux, Tome 4 (1992) no. 2, pp. 199-238. https://jtnb.centre-mersenne.org/item/JTNB_1992__4_2_199_0/

[Ch] L.G. Chouinardii, Krull semigroups and divisor class groups, Canad. J. Math. 33 (1981), 1459-1468. | MR | Zbl

[C-P] A.H. Clifford and G.B. Preston, The algebraic theory of semigroups, Vol. II, Providence, Rhode Island 1967. | MR | Zbl

[F-S] W. Forman and H.N. Shapiro, Abstract prime number theorems, Comm. Pure Appl. Math. 7 (1954), 587-619. | MR | Zbl

[Ge1] A. Geroldinger, Über nicht-eindeutige Zerlegungen in irreduzible Elemente, Math. Z. 197 (1988), 505-529. | MR | Zbl

[Ge2] A. Geroldinger, Factorizations of algebraic integers, Number Theory, Ulm 1987, Springer Lecture Notes 1380, 63-74. | MR | Zbl

[Ge3] A. Geroldinger, Factorization of natural numbers in algebraic number fields, Acta Arith. 57 (1991), 365-373. | MR | Zbl

[Ge-HK] A. Geroldinger and F. Halter-Koch, Realization theorems of semigroups with divisor theory, Semigroup Forum 44 (1992), 229-237. | MR | Zbl

[Gi] R. Gilmer, Commutative Semigroup Rings, The University of Chicago Press 1984. | MR | Zbl

[HK1] F. Halter-Koch, Halbgruppen mit Divisorentheorie, Expo. Math. 8 (1990), 27-66. | MR | Zbl

[HK2] F. Halter-Koch, Ein Approximationssatz für Halbgruppen mit Divisorentheorie, Resultate der Math. 19 (1991), 74-82. | MR | Zbl

[HK3] F. Halter-Koch, A generalization of Davenport's constant and its arithmetical applications, Coll. Math. 63 (1992), 203-210. | MR | Zbl

[HK-M] 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. | MR | Zbl

[Ka] J. Kaczorowski, Some remarks on factorization in algebraic number fields, Acta Arith. 43 (1983), 53-68. | MR | Zbl

[Kr] U. Krause, On monoids of finite real character, Proc. AMS 105 (1989), 546-554. | MR | Zbl

[La] S. Lang, Algebraic Number Theory, Springer 1986. | MR | Zbl

[Le] G. Lettl, Durch Normen definierte Idealklassengruppen, Studia Sci. Math. Hungarica 23 (1988), 327-334. | MR | Zbl

[M] M. Mazur, A note on the growth of Davenport's constant, Manuscripta Math. 74 (1992), 229-235. | MR | Zbl

[N] W. Narkiewicz, Finite abelian groups and factorization problems, Coll. Math. 42 (1979), 319-330. | MR | Zbl

[P] K. Prachar, Primzahlverteilung, Springer 1978. | MR | Zbl

[Sk] L. Skula, On c-semigroups, Acta Arith. 31 (1976), 247-257. | MR | Zbl

[Sl] J. Sliwa, Remarks on factorizations in algebraic number fields, Coll. Math. 46 (1982), 123-130. | MR | Zbl

[S-Z] S. Saks and A. Zygmund, Analytic functions, Polish Scientific Publishers 1965. | MR | Zbl

[T1] E.C. Titchmarsh, The theory of functions, Oxford University Press 1964. | MR

[T2] E.C. Titchmarsh, The theory of the Riemann zeta function, Oxford at the Clarendon Press 1986. | MR | Zbl