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Halter-Koch, Franz

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Author ID: halter-koch.franz Recent zbMATH articles by "Halter-Koch, Franz"
Published as: Halter-Koch, Franz; Halter-Koch, F.
Homepage: https://imsc.uni-graz.at/halterko/inhalt.html
External Links: MGP · Google Scholar · GND
Documents Indexed: 154 Publications since 1967, including 7 Books
Reviewing Activity: 150 Reviews
Biographic References: 1 Publication
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Serials

11 Journal of Number Theory
10 Archiv der Mathematik
7 Acta Arithmetica
6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
6 Journal für die Reine und Angewandte Mathematik
6 Semigroup Forum
6 Aequationes Mathematicae
5 Journal of Algebra
4 Manuscripta Mathematica
4 Monatshefte für Mathematik
4 Results in Mathematics
3 Communications in Algebra
3 Colloquium Mathematicum
3 Journal of Pure and Applied Algebra
3 Mathematische Annalen
3 Mathematische Nachrichten
2 Rocky Mountain Journal of Mathematics
2 Archivum Mathematicum
2 Mathematica Slovaca
2 Nagoya Mathematical Journal
2 Publicationes Mathematicae
2 Internationale Mathematische Nachrichten
2 Journal de Théorie des Nombres de Bordeaux
2 JP Journal of Algebra, Number Theory and Applications
2 Pure and Applied Mathematics (Boca Raton)
1 Arkiv för Matematik
1 Canadian Mathematical Bulletin
1 Commentationes Mathematicae Universitatis Carolinae
1 The Fibonacci Quarterly
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Mathematische Zeitschrift
1 Osaka Journal of Mathematics
1 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse
1 Rendiconti del Seminario Matematico della Università di Padova
1 Bulletin of the Greek Mathematical Society
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Forum Mathematicum
1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
1 PU.M.A. Pure Mathematics and Applications. Ser. A
1 Mathematica Pannonica
1 Elemente der Mathematik
1 L’Enseignement Mathématique. 2e Série
1 Glasnik Matematički. Serija III
1 Mitteilungen der Mathematischen Gesellschaft in Hamburg
1 Anzeiger der Österreichischen Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse
1 Expositiones Mathematicae
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 Journal of Algebra and its Applications
1 Mathematisch-Physikalische Semesterberichte, Neue Folge
1 Pure and Applied Mathematics, Marcel Dekker
1 Acta Mathematica Universitatis Ostraviensis
1 Journal of Combinatorics and Number Theory

Publications by Year

Citations contained in zbMATH Open

125 Publications have been cited 1,090 times in 673 Documents Cited by Year
Non-unique factorizations. Algebraic, combinatorial and analytic theory. Zbl 1113.11002
Geroldinger, Alfred; Halter-Koch, Franz
232
2006
Ideal systems. An introduction to multiplicative ideal theory. Zbl 0953.13001
Halter-Koch, Franz
140
1998
Non-unique factorizations: a survey. Zbl 1117.13004
Geroldinger, Alfred; Halter-Koch, Franz
51
2006
Clifford semigroups of ideals in monoids and domains. Zbl 1189.13002
Halter-Koch, Franz
24
2009
Halbgruppen mit Divisorentheorie. (Semigroups with divisor theory). Zbl 0698.20054
Halter-Koch, Franz
23
1990
Elasticity of factorizations in atomic monoids and integral domains. Zbl 0844.11068
Halter-Koch, Franz
20
1995
Congruence monoids. Zbl 1057.13003
Geroldinger, Alfred; Halter-Koch, Franz
20
2004
Finitely generated monoids, finitely primary monoids, and factorization properties of integral domains. Zbl 0882.13027
Halter-Koch, Franz
19
1997
Localizing systems, module systems, and semistar operations. Zbl 1055.13003
Halter-Koch, Franz
19
2001
Kronecker function rings and generalized integral closures. Zbl 1073.13507
Halter-Koch, Franz
18
2003
Divisor theories with primary elements and weakly Krull domains. Zbl 0849.20041
Halter-Koch, Franz
16
1995
A generalization of Davenport’s constant and its arithmetical applications. Zbl 0760.11031
Halter-Koch, Franz
16
1992
Quadratic irrationals. An introduction to classical number theory. Zbl 1271.11001
Halter-Koch, Franz
16
2013
Arithmetical theory of monoid homomorphisms. Zbl 0805.20057
Geroldinger, Alfred; Halter-Koch, Franz
15
1994
Projective modules and divisor homomorphisms. Zbl 1058.16002
Facchini, Alberto; Halter-Koch, Franz
14
2003
An approximation theorem for semigroups with divisor theory. (Ein Approximationssatz für Halbgruppen mit Divisorentheorie.) Zbl 0742.20060
Halter-Koch, Franz
14
1991
Inside factorial monoids and integral domains. Zbl 1087.13510
Chapman, Scott T.; Halter-Koch, Franz; Krause, Ulrich
12
2002
Realization theorems for semigroups with divisor theory. Zbl 0751.20045
Geroldinger, Alfred; Halter-Koch, Franz
12
1992
Arithmetische Theorie der Normalkörper von 2-Potenzgrad mit Diedergruppe. (Arithmetic theory of normal fields of 2-power degree with dihedral group). Zbl 0229.12006
Halter-Koch, Franz
11
1971
Finiteness theorems for factorizations. Zbl 0751.20046
Halter-Koch, Franz
11
1992
On the asymptotic behaviour of lengths of factorizations. Zbl 0751.20044
Geroldinger, Alfred; Halter-Koch, Franz
11
1992
Non-unique factorizations in block semigroups and arithmetical applications. Zbl 0765.11045
Geroldinger, A.; Halter-Koch, F.
10
1992
Characterization of field homomorphisms and derivations by functional equations. Zbl 0962.39013
Halter-Koch, Franz
10
2000
Unabhängige Einheiten für die Körper \(K=Q (\root n \of {D^n \pm d})\) mit \(d/D^n\). Zbl 0297.12008
Halter-Koch, Franz; Stender, Hans-Joachim
10
1974
On the asymptotic behaviour of the number of distinct factorizations into irreducibles. Zbl 0792.11042
Halter-Koch, Franz
9
1993
Non-unique factorizations in orders of global fields. Zbl 0812.11061
Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy
9
1995
Geschlechtertheorie de r Ringklassenkörper. Zbl 0236.12004
Halter-Koch, Franz
9
1971
Generalized integral closures. Zbl 1017.13003
Halter-Koch, Franz
8
1997
On orthogonally exponential functions. Zbl 0821.39006
Baron, K.; Halter-Koch, F.; Volkmann, P.
8
1995
Einseinheitengruppen und prime Restklassengruppen in quadratischen Zahlkörpern. (One-unit groups and prime residue class groups in quadratic number fields). Zbl 0229.12004
Halter-Koch, Franz
8
1972
On the factorization of algebraic integers into irreducibles. Zbl 0541.12004
Halter-Koch, F.
8
1984
An Artin character and representations of primes by binary quadratic forms. II. Zbl 0485.12003
Halter-Koch, Franz; Kaplan, Pierre; Williams, Kenneth S.
8
1982
Transfer principles in the theory of non-unique factorizations. Zbl 1087.13002
Geroldinger, Alfred; Halter-Koch, Franz
7
2005
Einheiten und Divisorenklassen in Galois’schen algebraischen Zahlkörpern mit Diedergruppe der Ordnung \(2l\) für eine ungerade Primzahl \(l\). (Units and divisor classes in algebraic Galois number fields with Dieder group of order \(2l\) for an odd prime number \(l\)). Zbl 0416.12003
Halter-Koch, Franz
7
1977
Finitary monoids. Zbl 1043.20033
Geroldinger, Alfred; Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian
7
2003
Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number). Zbl 0697.12007
Halter-Koch, Franz
7
1990
Arithmetical semigroups defined by congruences. Zbl 0734.20027
Halter-Koch, Franz
7
1991
Construction of ideal systems with nice Noetherian properties. Zbl 0988.13002
Halter-Koch, Franz
6
2000
C-monoids and congruence monoids in Krull domains. Zbl 1093.13016
Halter-Koch, Franz
6
2005
Sur le nombre de classes de certaines extensions, metacycliques sur \(\mathbb{Q}\) ou sur un corps quadratiques imaginaire. Zbl 0368.12003
Halter-Koch, Franz; Moser, Nicole
6
1978
Zur Einheitenberechnung in totalreellen kubischen Zahlkörpern nach Godwin. Zbl 0408.12005
Brunotte, Horst; Halter-Koch, Franz
6
1979
Non-unique factorizations of algebraic integers. Zbl 1217.11096
Halter-Koch, Franz
6
2008
Criteria for unique factorization in integral domains. Zbl 0949.13015
Anderson, D. D.; Chapman, Scott T.; Halter-Koch, Franz; Zafrullah, Muhammad
6
1998
On the number and ideal theory of one-dimensional noetherian integral domains. (Zur Zahlen- und Idealtheorie eindimensionaler noetherscher Integritätsbereiche.) Zbl 0743.13001
Halter-Koch, Franz
6
1991
A characterization of derivations by functional equations. Zbl 0964.39023
Halter-Koch, Franz
5
2000
The complete integral closure of monoids and domains. II. Zbl 0837.20073
Geroldinger, A.; Halter-Koch, F.; Lettl, G.
5
1995
Characterization of Prüfer multiplication monoids and domains by means of spectral module systems. Zbl 1058.20049
Halter-Koch, Franz
5
2003
Characterization of higher order derivations by functional equations. (Charakterisierung von Derivationen höherer Ordnung mittels Funktionalgleichungen.) Zbl 1042.39012
Halter-Koch, F.; Reich, L.
5
1998
Scarcity of finite polynomial orbits. Zbl 0961.11005
Halter-Koch, F.; Narkiewicz, W.
5
2000
Quantitative aspects of non-unique factorization: A general theory with applications to algebraic function fields. Zbl 0736.11064
Halter-Koch, Franz; Müller, Wolfgang
5
1991
Multiplicative ideal theory in the context of commutative monoids. Zbl 1225.13004
Halter-Koch, Franz
5
2011
Prime-producing quadratic polynomials and class numbers of quadratic orders. Zbl 0728.11049
Halter-Koch, F.
5
1991
Remarks on the multiplicative structure of certain one-dimensional integral domains. Zbl 1047.13005
Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian
4
2004
Polynomial cycles in finite extension fields. Zbl 1028.11014
Halter-Koch, Franz; Konečná, Petra
4
2002
Finiteness properties of polynomial mappings. Zbl 0779.12002
Halter-Koch, F.; Narkiewicz, W.
4
1992
Thue equations associated with Ankeny-Brauer-Chowla number fields. Zbl 0965.11009
Halter-Koch, F.; Lettl, G.; Pethö, A.; Tichy, R. F.
4
1999
Continued fractions of given symmetric period. Zbl 0739.11001
Halter-Koch, Franz
4
1991
Chebotarev formations and quantitative aspects of non-unique factorizations. Zbl 0762.11041
Halter-Koch, Franz
4
1992
Arithmetical interpretation of weighted Davenport constants. Zbl 1307.20020
Halter-Koch, Franz
4
2014
Factorisation of algebraic integers. Zbl 0506.12005
Halter-Koch, Franz
4
1983
Über Radikalerweiterungen. (On radical extensions). Zbl 0441.12006
Halter-Koch, Franz
3
1980
Polynomial cycles in finitely generated domains. Zbl 0840.13003
Halter-Koch, F.; Narkiewicz, W.
3
1995
Polynomial cycles and dynamical units. Zbl 0882.12003
Halter-Koch, F.; Narkiewicz, W.
3
1996
Characterization of field homomorphisms by functional equations. II. Zbl 0991.39012
Halter-Koch, Franz; Reich, Ludwig
3
2001
On lengths of non-unique factorizations and systems of linear diophantine inequalities. (Über Längen nicht-eindeutiger Faktorisierungen und Systeme linearer diophantischer Ungleichungen.) Zbl 0797.20055
Halter-Koch, F.
3
1993
The integral closure of a finitely generated monoid and the Frobenius problem in higher dimensions. Zbl 0818.20079
Halter-Koch, Franz
3
1993
Eine Bemerkung über kubische Einheiten. Zbl 0352.12005
Halter-Koch, Franz
3
1976
Eine allgemeine Geschlechtertheorie und ihre Anwendung auf Teilbarkeitsaussagen für Klassenzahlen algebraischer Zahlkörper. Zbl 0371.12008
Halter-Koch, Franz
3
1978
Die Struktur der Einheitengruppe für eine Klasse metazyklischer Erweiterungen algebraischer Zahlkörper. Zbl 0384.12003
Halter-Koch, Franz
3
1978
Factorization problems in class number two. Zbl 0816.11053
Halter-Koch, Franz
3
1993
Ein Satz über die Geschlechter relativ-zyklischer Zahlkörper von Primzahlgrad und seine Anwendung auf biquadratisch-bizyklische Körper. Zbl 0241.12004
Halter-Koch, Franz
3
1972
Relative block semigroups and their arithmetical applications. Zbl 0769.11038
Halter-Koch, Franz
3
1992
Ideal semigroups of noetherian domains and Ponizovski decompositions. Zbl 1114.13015
Halter-Koch, Franz
3
2007
Group algebras of finite abelian groups and their applications to combinatorial problems. Zbl 1200.05254
Gao, Weidong; Geroldinger, Alfred; Halter-Koch, Franz
3
2009
Weak module systems and applications: A multiplicative theory of integral elements and the Marot property. Zbl 1055.13004
Halter-Koch, Franz
3
2003
Characterization of field homomorphisms by functional equations. Zbl 0991.39011
Halter-Koch, Franz; Reich, Ludwig
3
2000
Type semigroups and factorization problems. (Typenhalbgruppen und Faktorisierungsprobleme.) Zbl 0769.11039
Halter-Koch, Franz
3
1992
Unabhängige Einheitensysteme für eine allgemeine Klasse algebraischer Zahlkörper. Zbl 0309.12005
Halter-Koch, Franz
3
1975
Über Pell’sche Gleichungen und Kettenbrüche. (On Pell equations and continued fractions). Zbl 0631.10008
Halter-Koch, Franz
3
1987
On the quartic character of certain quadratic units and the representation of primes by binary quadratic forms. Zbl 0599.12003
Halter-Koch, Franz
3
1986
Über den 4-Rank der Klassengruppe quadratischer Zahlkörper. Zbl 0543.12004
Halter-Koch, Franz
3
1984
The tame degree and related invariants of non-unique factorizations. Zbl 1196.13005
Halter-Koch, Franz
3
2008
Reell-quadratische Zahlkörper mit großer Grundeinheit. (Real- quadratic fields with large fundamental unit). Zbl 0718.11054
Halter-Koch, F.
3
1989
Der Čebotarev’sche Dichtigkeitssatz und ein Analogon zum Dirichlet’schen Primzahlsatz für algebraische Funktionenkörper. (Chebotarev’s density theorem and an anlogue to Dirichlet’s theorem on primes for algebraic function fields ). Zbl 0731.11063
Halter-Koch, Franz
3
1991
Principal ideals in quadratic orders, continued fractions and Diophantine equations. Zbl 1310.11109
Halter-Koch, Franz
2
2014
Valuation monoids, defining systems, and approximation theorems. Zbl 0880.20047
Halter-Koch, Franz
2
1997
On products of additive functions. Zbl 0773.39006
Halter-Koch, Franz; Reich, Ludwig; Schwaiger, Jens
2
1993
Representation of primes by binary quadratic forms of discriminant \(- 256q\) and \(-128q\). Zbl 0783.11018
Halter-Koch, Franz
2
1993
A characterization of Krull rings with zero divisors. Zbl 0818.13011
Halter-Koch, Franz
2
1993
The class group of a commutative order. (Die Klassengruppe einer kommutativen Ordnung.) Zbl 0829.13008
Halter-Koch, Franz
2
1994
Körper, über denen alle algebraischen Erweiterungen der Kummer’schen Theorie genügen. Zbl 0437.12019
Halter-Koch, Franz
2
1980
Kriterien zum 8. Potenzcharakter der Reste 3, 5 und 7. Zbl 0208.06201
Halter-Koch, Franz
2
1970
Tamely generated ideals in finitary monoids. Zbl 1066.20059
Geroldinger, Alfred; Halter-Koch, Franz
2
2002
Additive functions commuting with Möbius transformations and field monomorphisms. Zbl 0933.39050
Halter-Koch, Franz; Reich, Ludwig
2
1999
Commutative rings and binomial coefficients. Zbl 0764.12002
Halter-Koch, F.; Narkiewicz, W.
2
1992
Some periodic continued fraction expansions and fundamental units of quadratic orders. (Einige periodische Kettenbruchentwicklungen und Grundeinheiten quadratischer Ordnungen.) Zbl 0764.11009
Halter-Koch, F.
2
1989
Infrastructure of ambiguous ideal classes of orders of real quadratic fields. (Infrastructure des classes ambiges d’idéaux des ordres des corps quadratiques réels.) Zbl 0756.11030
Halter-Koch, Franz; Kaplan, Pierre; Williams, Kenneth S.; Yamamoto, Yoshihiko
2
1991
Associative power series. Zbl 1318.13035
Halter-Koch, Franz
2
2015
A note on ray class fields of global fields. Zbl 0721.11051
Halter-Koch, Franz
2
1990
Metrische Kennzeichnung von Erzeugenden für Einheitengruppen vom Rang 1 oder 2 in algebraischen Zahlkörpern. Zbl 0472.12002
Brunotte, Horst; Halter-Koch, Franz
2
1981
Class field theory and \(L\) functions. Foundations and main results (to appear). Zbl 07143137
Halter-Koch, Franz
1
2022
Associative power series. Zbl 1318.13035
Halter-Koch, Franz
2
2015
Lorenzen monoids: a multiplicative approach to Kronecker function rings. Zbl 1311.13005
Halter-Koch, Franz
1
2015
Arithmetical interpretation of weighted Davenport constants. Zbl 1307.20020
Halter-Koch, Franz
4
2014
Principal ideals in quadratic orders, continued fractions and Diophantine equations. Zbl 1310.11109
Halter-Koch, Franz
2
2014
Quadratic irrationals. An introduction to classical number theory. Zbl 1271.11001
Halter-Koch, Franz
16
2013
Lucas sequences and quadratic orders. Zbl 1357.11017
Halter-Koch, Franz
1
2013
Multiplicative ideal theory in the context of commutative monoids. Zbl 1225.13004
Halter-Koch, Franz
5
2011
Characterization of Prüfer-like monoids and domains by GCD-theories. Zbl 1223.20052
Halter-Koch, Franz
1
2011
Clifford semigroups of ideals in monoids and domains. Zbl 1189.13002
Halter-Koch, Franz
24
2009
Group algebras of finite abelian groups and their applications to combinatorial problems. Zbl 1200.05254
Gao, Weidong; Geroldinger, Alfred; Halter-Koch, Franz
3
2009
Mixed invertibility and Prüfer-like monoids and domains. Zbl 1177.13009
Halter-Koch, Franz
1
2009
Non-unique factorizations of algebraic integers. Zbl 1217.11096
Halter-Koch, Franz
6
2008
The tame degree and related invariants of non-unique factorizations. Zbl 1196.13005
Halter-Koch, Franz
3
2008
Ideal semigroups of noetherian domains and Ponizovski decompositions. Zbl 1114.13015
Halter-Koch, Franz
3
2007
Non-unique factorizations. Algebraic, combinatorial and analytic theory. Zbl 1113.11002
Geroldinger, Alfred; Halter-Koch, Franz
232
2006
Non-unique factorizations: a survey. Zbl 1117.13004
Geroldinger, Alfred; Halter-Koch, Franz
51
2006
Transfer principles in the theory of non-unique factorizations. Zbl 1087.13002
Geroldinger, Alfred; Halter-Koch, Franz
7
2005
C-monoids and congruence monoids in Krull domains. Zbl 1093.13016
Halter-Koch, Franz
6
2005
Congruence monoids. Zbl 1057.13003
Geroldinger, Alfred; Halter-Koch, Franz
20
2004
Remarks on the multiplicative structure of certain one-dimensional integral domains. Zbl 1047.13005
Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian
4
2004
Kronecker function rings and generalized integral closures. Zbl 1073.13507
Halter-Koch, Franz
18
2003
Projective modules and divisor homomorphisms. Zbl 1058.16002
Facchini, Alberto; Halter-Koch, Franz
14
2003
Finitary monoids. Zbl 1043.20033
Geroldinger, Alfred; Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian
7
2003
Characterization of Prüfer multiplication monoids and domains by means of spectral module systems. Zbl 1058.20049
Halter-Koch, Franz
5
2003
Weak module systems and applications: A multiplicative theory of integral elements and the Marot property. Zbl 1055.13004
Halter-Koch, Franz
3
2003
Representation of prime powers in arithmetical progressions by binary quadratic forms. Zbl 1048.11030
Halter-Koch, Franz
1
2003
Inside factorial monoids and integral domains. Zbl 1087.13510
Chapman, Scott T.; Halter-Koch, Franz; Krause, Ulrich
12
2002
Polynomial cycles in finite extension fields. Zbl 1028.11014
Halter-Koch, Franz; Konečná, Petra
4
2002
Tamely generated ideals in finitary monoids. Zbl 1066.20059
Geroldinger, Alfred; Halter-Koch, Franz
2
2002
Localizing systems, module systems, and semistar operations. Zbl 1055.13003
Halter-Koch, Franz
19
2001
Characterization of field homomorphisms by functional equations. II. Zbl 0991.39012
Halter-Koch, Franz; Reich, Ludwig
3
2001
Characterization of field homomorphisms and derivations by functional equations. Zbl 0962.39013
Halter-Koch, Franz
10
2000
Construction of ideal systems with nice Noetherian properties. Zbl 0988.13002
Halter-Koch, Franz
6
2000
A characterization of derivations by functional equations. Zbl 0964.39023
Halter-Koch, Franz
5
2000
Scarcity of finite polynomial orbits. Zbl 0961.11005
Halter-Koch, F.; Narkiewicz, W.
5
2000
Characterization of field homomorphisms by functional equations. Zbl 0991.39011
Halter-Koch, Franz; Reich, Ludwig
3
2000
Thue equations associated with Ankeny-Brauer-Chowla number fields. Zbl 0965.11009
Halter-Koch, F.; Lettl, G.; Pethö, A.; Tichy, R. F.
4
1999
Additive functions commuting with Möbius transformations and field monomorphisms. Zbl 0933.39050
Halter-Koch, Franz; Reich, Ludwig
2
1999
Ideal systems. An introduction to multiplicative ideal theory. Zbl 0953.13001
Halter-Koch, Franz
140
1998
Criteria for unique factorization in integral domains. Zbl 0949.13015
Anderson, D. D.; Chapman, Scott T.; Halter-Koch, Franz; Zafrullah, Muhammad
6
1998
Characterization of higher order derivations by functional equations. (Charakterisierung von Derivationen höherer Ordnung mittels Funktionalgleichungen.) Zbl 1042.39012
Halter-Koch, F.; Reich, L.
5
1998
Finitely generated monoids, finitely primary monoids, and factorization properties of integral domains. Zbl 0882.13027
Halter-Koch, Franz
19
1997
Generalized integral closures. Zbl 1017.13003
Halter-Koch, Franz
8
1997
Valuation monoids, defining systems, and approximation theorems. Zbl 0880.20047
Halter-Koch, Franz
2
1997
Polynomial cycles and dynamical units. Zbl 0882.12003
Halter-Koch, F.; Narkiewicz, W.
3
1996
On quasi divisor theories and systems of valuations. Zbl 0846.13002
Geroldinger, Alfred; Halter-Koch, Franz
1
1996
Elasticity of factorizations in atomic monoids and integral domains. Zbl 0844.11068
Halter-Koch, Franz
20
1995
Divisor theories with primary elements and weakly Krull domains. Zbl 0849.20041
Halter-Koch, Franz
16
1995
Non-unique factorizations in orders of global fields. Zbl 0812.11061
Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy
9
1995
On orthogonally exponential functions. Zbl 0821.39006
Baron, K.; Halter-Koch, F.; Volkmann, P.
8
1995
The complete integral closure of monoids and domains. II. Zbl 0837.20073
Geroldinger, A.; Halter-Koch, F.; Lettl, G.
5
1995
Polynomial cycles in finitely generated domains. Zbl 0840.13003
Halter-Koch, F.; Narkiewicz, W.
3
1995
Arithmetical theory of monoid homomorphisms. Zbl 0805.20057
Geroldinger, Alfred; Halter-Koch, Franz
15
1994
The class group of a commutative order. (Die Klassengruppe einer kommutativen Ordnung.) Zbl 0829.13008
Halter-Koch, Franz
2
1994
Analytic number theory in formations based on additive arithmetical semigroups. Zbl 0805.11070
Halter-Koch, Franz; Warlimont, Richard
1
1994
On the asymptotic behaviour of the number of distinct factorizations into irreducibles. Zbl 0792.11042
Halter-Koch, Franz
9
1993
On lengths of non-unique factorizations and systems of linear diophantine inequalities. (Über Längen nicht-eindeutiger Faktorisierungen und Systeme linearer diophantischer Ungleichungen.) Zbl 0797.20055
Halter-Koch, F.
3
1993
The integral closure of a finitely generated monoid and the Frobenius problem in higher dimensions. Zbl 0818.20079
Halter-Koch, Franz
3
1993
Factorization problems in class number two. Zbl 0816.11053
Halter-Koch, Franz
3
1993
On products of additive functions. Zbl 0773.39006
Halter-Koch, Franz; Reich, Ludwig; Schwaiger, Jens
2
1993
Representation of primes by binary quadratic forms of discriminant \(- 256q\) and \(-128q\). Zbl 0783.11018
Halter-Koch, Franz
2
1993
A characterization of Krull rings with zero divisors. Zbl 0818.13011
Halter-Koch, Franz
2
1993
A theorem of Ramanujan concerning binary quadratic forms. Zbl 0784.11011
Halter-Koch, Franz
1
1993
On products of additive functions (a third approach). Zbl 0777.12001
Halter-Koch, Franz
1
1993
A generalization of Davenport’s constant and its arithmetical applications. Zbl 0760.11031
Halter-Koch, Franz
16
1992
Realization theorems for semigroups with divisor theory. Zbl 0751.20045
Geroldinger, Alfred; Halter-Koch, Franz
12
1992
Finiteness theorems for factorizations. Zbl 0751.20046
Halter-Koch, Franz
11
1992
On the asymptotic behaviour of lengths of factorizations. Zbl 0751.20044
Geroldinger, Alfred; Halter-Koch, Franz
11
1992
Non-unique factorizations in block semigroups and arithmetical applications. Zbl 0765.11045
Geroldinger, A.; Halter-Koch, F.
10
1992
Finiteness properties of polynomial mappings. Zbl 0779.12002
Halter-Koch, F.; Narkiewicz, W.
4
1992
Chebotarev formations and quantitative aspects of non-unique factorizations. Zbl 0762.11041
Halter-Koch, Franz
4
1992
Relative block semigroups and their arithmetical applications. Zbl 0769.11038
Halter-Koch, Franz
3
1992
Type semigroups and factorization problems. (Typenhalbgruppen und Faktorisierungsprobleme.) Zbl 0769.11039
Halter-Koch, Franz
3
1992
Commutative rings and binomial coefficients. Zbl 0764.12002
Halter-Koch, F.; Narkiewicz, W.
2
1992
Polynomial mappings defined by forms with a common factor. Zbl 0778.12002
Halter-Koch, F.; Narkiewicz, W.
1
1992
An approximation theorem for semigroups with divisor theory. (Ein Approximationssatz für Halbgruppen mit Divisorentheorie.) Zbl 0742.20060
Halter-Koch, Franz
14
1991
Arithmetical semigroups defined by congruences. Zbl 0734.20027
Halter-Koch, Franz
7
1991
On the number and ideal theory of one-dimensional noetherian integral domains. (Zur Zahlen- und Idealtheorie eindimensionaler noetherscher Integritätsbereiche.) Zbl 0743.13001
Halter-Koch, Franz
6
1991
Quantitative aspects of non-unique factorization: A general theory with applications to algebraic function fields. Zbl 0736.11064
Halter-Koch, Franz; Müller, Wolfgang
5
1991
Prime-producing quadratic polynomials and class numbers of quadratic orders. Zbl 0728.11049
Halter-Koch, F.
5
1991
Continued fractions of given symmetric period. Zbl 0739.11001
Halter-Koch, Franz
4
1991
Der Čebotarev’sche Dichtigkeitssatz und ein Analogon zum Dirichlet’schen Primzahlsatz für algebraische Funktionenkörper. (Chebotarev’s density theorem and an anlogue to Dirichlet’s theorem on primes for algebraic function fields ). Zbl 0731.11063
Halter-Koch, Franz
3
1991
Infrastructure of ambiguous ideal classes of orders of real quadratic fields. (Infrastructure des classes ambiges d’idéaux des ordres des corps quadratiques réels.) Zbl 0756.11030
Halter-Koch, Franz; Kaplan, Pierre; Williams, Kenneth S.; Yamamoto, Yoshihiko
2
1991
On a class of insoluble binary quadratic Diophantine equations. Zbl 0745.11019
Halter-Koch, Franz
1
1991
Halbgruppen mit Divisorentheorie. (Semigroups with divisor theory). Zbl 0698.20054
Halter-Koch, Franz
23
1990
Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number). Zbl 0697.12007
Halter-Koch, Franz
7
1990
A note on ray class fields of global fields. Zbl 0721.11051
Halter-Koch, Franz
2
1990
Reell-quadratische Zahlkörper mit großer Grundeinheit. (Real- quadratic fields with large fundamental unit). Zbl 0718.11054
Halter-Koch, F.
3
1989
Some periodic continued fraction expansions and fundamental units of quadratic orders. (Einige periodische Kettenbruchentwicklungen und Grundeinheiten quadratischer Ordnungen.) Zbl 0764.11009
Halter-Koch, F.
2
1989
Ring class fields modulo 8 of \({\mathbb{Q}}(\sqrt{-m})\) and the quartic character of units of \({\mathbb{Q}}(\sqrt{m})\) for m\(\equiv 1\) mod 8. Zbl 0705.11062
Halter-Koch, Franz; Ishii, Noburo
1
1989
Über Pell’sche Gleichungen und Kettenbrüche. (On Pell equations and continued fractions). Zbl 0631.10008
Halter-Koch, Franz
3
1987
On the quartic character of certain quadratic units and the representation of primes by binary quadratic forms. Zbl 0599.12003
Halter-Koch, Franz
3
1986
Konstruktion von Klassenkörpern und Potenzrestkriterien für quadratische Einheiten. Zbl 0586.12008
Halter-Koch, Franz
1
1986
Quadratische Einheiten als 8. Potenzreste. (Quadratic units as eighth power residues). Zbl 0617.12010
Halter-Koch, Franz
1
1986
An Artin character and representations of primes by binary quadratic forms. III. Zbl 0568.12002
Halter-Koch, Franz
1
1985
On the factorization of algebraic integers into irreducibles. Zbl 0541.12004
Halter-Koch, F.
8
1984
Über den 4-Rank der Klassengruppe quadratischer Zahlkörper. Zbl 0543.12004
Halter-Koch, Franz
3
1984
Teilbarkeitseigenschaften der iterierten Euler’schen phi-Funktion. Zbl 0532.10002
Halter-Koch, Franz; Steindl, Werner
1
1984
Factorisation of algebraic integers. Zbl 0506.12005
Halter-Koch, Franz
4
1983
...and 25 more Documents
all top 5

Cited by 485 Authors

60 Geroldinger, Alfred
43 Halter-Koch, Franz
34 Chapman, Scott Thomas
28 Schmid, Wolfgang Alexander
27 Fontana, Marco
25 Gao, Weidong
21 Zhong, Qinghai
18 Chang, Gyu Whan
16 Anderson, Daniel D.
16 Gotti, Felix
16 Grynkiewicz, David J.
15 O’Neill, Christopher
14 Baeth, Nicholas R.
12 Anderson, David Fenimore
12 Facchini, Alberto
12 García Sánchez, Pedro A.
12 Zafrullah, Muhammad
11 Han, Dongchun
11 Smith, William W.
10 Hassler, Wolfgang
10 Li, Yuanlin
9 Mollin, Richard Anthony
9 Peng, Jiangtao
9 Picozza, Giampaolo
9 Ponomarenko, Vadim
8 Dumitrescu, Tiberiu
8 El Baghdadi, Said
8 Finocchiaro, Carmelo Antonio
8 Kim, Hwankoo
8 Reinhart, Andreas
8 Yuan, Pingzhi
8 Zeng, Xiangneng
8 Zhang, Hanbin
7 Cziszter, Kálmán
7 Domokos, Mátyás
7 Fan, Yushuang
7 García García, Juan Ignacio
7 Philipp, Andreas
7 Qu, Yongke
7 Tringali, Salvatore
7 Wang, Guoqing
6 Gotti, Marly
6 Liu, Chao
6 Mimouni, Abdeslam
6 Narkiewicz, Władysław
6 Schertz, Reinhard
6 Smertnig, Daniel
6 Tomita, Koshi
5 Baginski, Paul
5 Brzdęk, Janusz
5 Coykendall, James
5 Frisch, Sophie
5 Gabelli, Stefania
5 Girard, Benjamin
5 Juett, Jason Robert
5 Kaczorowski, Jerzy
5 Kawamoto, Fuminori
5 Lim, Jung Wook
5 Loper, Kenneth Alan
5 Ordaz, Oscar
5 Pelayo, Roberto Carlos
5 Plagne, Alain
5 Rosales, José Carlos
5 Spirito, Dario
4 Adhikari, Sukumar Das
4 Phạm Ngọc Ánh
4 Chintamani, Mohan N.
4 Ebanks, Bruce R.
4 Kainrath, Florian
4 Kontolatou, Angeliki
4 Krause, Ulrich
4 Marchan, Luz Elimar
4 Močkoř, Jiří
4 Moreno-Frías, Maria Angeles
4 Olberding, Bruce M.
4 Park, Mi Hee
4 Schaeffer, George J.
4 Sikorska, Justyna
4 Williams, Hugh Cowie
3 Ara, Pere
3 Blanco, Víctor
3 Brunotte, Horst
3 Deng, Guixin
3 Freeze, Michael
3 Gselmann, Eszter
3 Huang, Meiling
3 Hui, Wanzhen
3 Kishi, Yasuhiro
3 Lang, Heinrich
3 Levesque, Claude
3 Llena, David
3 Mahdou, Najib
3 Mooney, Christopher Park
3 Moriya, B. K.
3 Nakagoshi, Norikata
3 Nakato, Sarah
3 Oh, Dong Yeol
3 Oh, Jun-Seok
3 Park, Youngsoo
3 Paul, Prabal
...and 385 more Authors
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Cited in 124 Serials

66 Communications in Algebra
54 Journal of Algebra
52 Journal of Number Theory
33 Journal of Pure and Applied Algebra
28 Semigroup Forum
20 Journal of Algebra and its Applications
16 International Journal of Number Theory
13 Archiv der Mathematik
13 Proceedings of the Japan Academy. Series A
12 Rocky Mountain Journal of Mathematics
12 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
12 Monatshefte für Mathematik
12 Journal de Théorie des Nombres de Bordeaux
11 Journal of Combinatorial Theory. Series A
10 Manuscripta Mathematica
10 Proceedings of the American Mathematical Society
10 Results in Mathematics
10 Journal of Commutative Algebra
9 Israel Journal of Mathematics
9 Acta Arithmetica
8 Linear Algebra and its Applications
7 American Mathematical Monthly
7 Discrete Mathematics
7 Mathematische Annalen
7 Mathematica Slovaca
7 Transactions of the American Mathematical Society
7 Aequationes Mathematicae
6 Mathematics of Computation
6 Czechoslovak Mathematical Journal
5 Annales de l’Institut Fourier
5 Functiones et Approximatio. Commentarii Mathematici
5 Nagoya Mathematical Journal
5 European Journal of Combinatorics
5 Forum Mathematicum
5 International Journal of Algebra and Computation
5 Acta Mathematica et Informatica Universitatis Ostraviensis
5 The Ramanujan Journal
5 Integers
5 Actes des Rencontres du C.I.R.M.
4 Mathematische Zeitschrift
4 Acta Mathematica Hungarica
4 Arabian Journal of Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Periodica Mathematica Hungarica
3 Colloquium Mathematicum
3 Glasgow Mathematical Journal
3 Journal of Symbolic Computation
3 Bollettino dell’Unione Matematica Italiana
2 Bulletin of the Australian Mathematical Society
2 Advances in Mathematics
2 Algebra Universalis
2 Journal of Soviet Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Quaestiones Mathematicae
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Rendiconti del Seminario Matematico della Università di Padova
2 Ricerche di Matematica
2 Advances in Applied Mathematics
2 Bulletin of the Korean Mathematical Society
2 Revista Matemática Iberoamericana
2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
2 Designs, Codes and Cryptography
2 Elemente der Mathematik
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Experimental Mathematics
2 Algebra Colloquium
2 The Electronic Journal of Combinatorics
2 Communications of the Korean Mathematical Society
2 Journal of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Lithuanian Mathematical Journal
1 Nonlinearity
1 Ukrainian Mathematical Journal
1 Arkiv för Matematik
1 Beiträge zur Algebra und Geometrie
1 Canadian Journal of Mathematics
1 Computing
1 Dissertationes Mathematicae
1 Fuzzy Sets and Systems
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the Korean Mathematical Society
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Le Matematiche
1 Mathematika
1 Michigan Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Osaka Journal of Mathematics
1 Tokyo Journal of Mathematics
1 Combinatorica
1 SIAM Journal on Discrete Mathematics
1 MSCS. Mathematical Structures in Computer Science
1 Geometric and Functional Analysis. GAFA
1 Expositiones Mathematicae
1 Journal of Algebraic Combinatorics
1 Applied Categorical Structures
1 Combinatorics, Probability and Computing
...and 24 more Serials

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