@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},
year = {1992},
publisher = {Universit\'e Bordeaux I},
volume = {4},
number = {2},
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] , Krull semigroups and divisor class groups, Canad. J. Math. 33 (1981), 1459-1468. | Zbl | MR
[C-P] and , The algebraic theory of semigroups, Vol. II, Providence, Rhode Island 1967. | Zbl | MR
[F-S] and , Abstract prime number theorems, Comm. Pure Appl. Math. 7 (1954), 587-619. | Zbl | MR
[Ge1] , Über nicht-eindeutige Zerlegungen in irreduzible Elemente, Math. Z. 197 (1988), 505-529. | Zbl | MR
[Ge2] , Factorizations of algebraic integers, Number Theory, Ulm 1987, Springer Lecture Notes 1380, 63-74. | Zbl | MR
[Ge3] , Factorization of natural numbers in algebraic number fields, Acta Arith. 57 (1991), 365-373. | Zbl | MR
[Ge-HK] and , Realization theorems of semigroups with divisor theory, Semigroup Forum 44 (1992), 229-237. | Zbl | MR
[Gi] , Commutative Semigroup Rings, The University of Chicago Press 1984. | Zbl | MR
[HK1] , Halbgruppen mit Divisorentheorie, Expo. Math. 8 (1990), 27-66. | Zbl | MR
[HK2] , Ein Approximationssatz für Halbgruppen mit Divisorentheorie, Resultate der Math. 19 (1991), 74-82. | Zbl | MR
[HK3] , A generalization of Davenport's constant and its arithmetical applications, Coll. Math. 63 (1992), 203-210. | Zbl | MR
[HK-M] and , Quantitative aspects of non-unique factorization: a general theory with applications to algebraic function fields, J. Reine Angew. Math 421 (1991), 159-188. | Zbl | MR
[Ka] , Some remarks on factorization in algebraic number fields, Acta Arith. 43 (1983), 53-68. | Zbl | MR
[Kr] , On monoids of finite real character, Proc. AMS 105 (1989), 546-554. | Zbl | MR
[La] , Algebraic Number Theory, Springer 1986. | Zbl | MR
[Le] , Durch Normen definierte Idealklassengruppen, Studia Sci. Math. Hungarica 23 (1988), 327-334. | Zbl | MR
[M] , A note on the growth of Davenport's constant, Manuscripta Math. 74 (1992), 229-235. | Zbl | MR
[N] , Finite abelian groups and factorization problems, Coll. Math. 42 (1979), 319-330. | Zbl | MR
[P] , Primzahlverteilung, Springer 1978. | Zbl | MR
[Sk] , On c-semigroups, Acta Arith. 31 (1976), 247-257. | Zbl | MR
[Sl] , Remarks on factorizations in algebraic number fields, Coll. Math. 46 (1982), 123-130. | Zbl | MR
[S-Z] and , Analytic functions, Polish Scientific Publishers 1965. | Zbl | MR
[T1] , The theory of functions, Oxford University Press 1964. | MR
[T2] , The theory of the Riemann zeta function, Oxford at the Clarendon Press 1986. | Zbl | MR