@article{JTNB_1992__4_2_199_0, author = {Geroldinger, Alfred and Kaczorowski, Jerzy}, title = {Analytic and arithmetic theory of semigroups with divisor theory}, journal = {S\'eminaire de th\'eorie des nombres de Bordeaux}, pages = {199--238}, publisher = {Universit\'e Bordeaux I}, volume = {Ser. 2, 4}, number = {2}, year = {1992}, mrnumber = {1208863}, zbl = {0780.11046}, language = {en}, url = {http://www.numdam.org/item/JTNB_1992__4_2_199_0/} }
TY - JOUR AU - Geroldinger, Alfred AU - Kaczorowski, Jerzy TI - Analytic and arithmetic theory of semigroups with divisor theory JO - Séminaire de théorie des nombres de Bordeaux PY - 1992 SP - 199 EP - 238 VL - 4 IS - 2 PB - Université Bordeaux I UR - http://www.numdam.org/item/JTNB_1992__4_2_199_0/ LA - en ID - JTNB_1992__4_2_199_0 ER -
%0 Journal Article %A Geroldinger, Alfred %A Kaczorowski, Jerzy %T Analytic and arithmetic theory of semigroups with divisor theory %J Séminaire de théorie des nombres de Bordeaux %D 1992 %P 199-238 %V 4 %N 2 %I Université Bordeaux I %U http://www.numdam.org/item/JTNB_1992__4_2_199_0/ %G en %F JTNB_1992__4_2_199_0
Geroldinger, Alfred; Kaczorowski, Jerzy. Analytic and arithmetic theory of semigroups with divisor theory. Séminaire de théorie des nombres de Bordeaux, Série 2, Tome 4 (1992) no. 2, pp. 199-238. http://www.numdam.org/item/JTNB_1992__4_2_199_0/
[Ch] Krull semigroups and divisor class groups, Canad. J. Math. 33 (1981), 1459-1468. | MR | Zbl
,[C-P] The algebraic theory of semigroups, Vol. II, Providence, Rhode Island 1967. | MR | Zbl
and ,[F-S] Abstract prime number theorems, Comm. Pure Appl. Math. 7 (1954), 587-619. | MR | Zbl
and ,[Ge1] Über nicht-eindeutige Zerlegungen in irreduzible Elemente, Math. Z. 197 (1988), 505-529. | MR | Zbl
,[Ge2] Factorizations of algebraic integers, Number Theory, Ulm 1987, Springer Lecture Notes 1380, 63-74. | MR | Zbl
,[Ge3] Factorization of natural numbers in algebraic number fields, Acta Arith. 57 (1991), 365-373. | MR | Zbl
,[Ge-HK] Realization theorems of semigroups with divisor theory, Semigroup Forum 44 (1992), 229-237. | MR | Zbl
and ,[Gi] Commutative Semigroup Rings, The University of Chicago Press 1984. | MR | Zbl
,[HK1] Halbgruppen mit Divisorentheorie, Expo. Math. 8 (1990), 27-66. | MR | Zbl
,[HK2] Ein Approximationssatz für Halbgruppen mit Divisorentheorie, Resultate der Math. 19 (1991), 74-82. | MR | Zbl
,[HK3] A generalization of Davenport's constant and its arithmetical applications, Coll. Math. 63 (1992), 203-210. | MR | Zbl
,[HK-M] 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
and ,[Ka] Some remarks on factorization in algebraic number fields, Acta Arith. 43 (1983), 53-68. | MR | Zbl
,[Kr] On monoids of finite real character, Proc. AMS 105 (1989), 546-554. | MR | Zbl
,[La] Algebraic Number Theory, Springer 1986. | MR | Zbl
,[Le] Durch Normen definierte Idealklassengruppen, Studia Sci. Math. Hungarica 23 (1988), 327-334. | MR | Zbl
,[M] A note on the growth of Davenport's constant, Manuscripta Math. 74 (1992), 229-235. | MR | Zbl
,[N] Finite abelian groups and factorization problems, Coll. Math. 42 (1979), 319-330. | MR | Zbl
,[P] Primzahlverteilung, Springer 1978. | MR | Zbl
,[Sk] On c-semigroups, Acta Arith. 31 (1976), 247-257. | MR | Zbl
,[Sl] Remarks on factorizations in algebraic number fields, Coll. Math. 46 (1982), 123-130. | MR | Zbl
,[S-Z] Analytic functions, Polish Scientific Publishers 1965. | MR | Zbl
and ,[T1] The theory of functions, Oxford University Press 1964. | MR
,[T2] The theory of the Riemann zeta function, Oxford at the Clarendon Press 1986. | MR | Zbl
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