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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: 153 Publications since 1967, including 5 Books
2 Contributions as Editor
Reviewing Activity: 154 Reviews
Biographic References: 1 Publication
Co-Authors: 36 Co-Authors with 52 Joint Publications
792 Co-Co-Authors
all top 5

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 Debrecen
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 Acta Mathematica Hungarica
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

130 Publications have been cited 1,396 times in 863 Documents Cited by Year
Non-unique factorizations. Algebraic, combinatorial and analytic theory. Zbl 1113.11002
Geroldinger, Alfred; Halter-Koch, Franz
363
2006
Ideal systems. An introduction to multiplicative ideal theory. Zbl 0953.13001
Halter-Koch, Franz
178
1998
Non-unique factorizations: a survey. Zbl 1117.13004
Geroldinger, Alfred; Halter-Koch, Franz
70
2006
Clifford semigroups of ideals in monoids and domains. Zbl 1189.13002
Halter-Koch, Franz
28
2009
Halbgruppen mit Divisorentheorie. (Semigroups with divisor theory). Zbl 0698.20054
Halter-Koch, Franz
27
1990
Finiteness theorems for factorizations. Zbl 0751.20046
Halter-Koch, Franz
25
1992
Quadratic irrationals. An introduction to classical number theory. Zbl 1271.11001
Halter-Koch, Franz
25
2013
Congruence monoids. Zbl 1057.13003
Geroldinger, Alfred; Halter-Koch, Franz
24
2004
Elasticity of factorizations in atomic monoids and integral domains. Zbl 0844.11068
Halter-Koch, Franz
21
1995
Divisor theories with primary elements and weakly Krull domains. Zbl 0849.20041
Halter-Koch, Franz
21
1995
Kronecker function rings and generalized integral closures. Zbl 1073.13507
Halter-Koch, Franz
20
2003
Localizing systems, module systems, and semistar operations. Zbl 1055.13003
Halter-Koch, Franz
20
2001
A generalization of Davenport’s constant and its arithmetical applications. Zbl 0760.11031
Halter-Koch, Franz
19
1992
Finitely generated monoids, finitely primary monoids, and factorization properties of integral domains. Zbl 0882.13027
Halter-Koch, Franz
19
1997
Inside factorial monoids and integral domains. Zbl 1087.13510
Chapman, Scott T.; Halter-Koch, Franz; Krause, Ulrich
16
2002
Arithmetical theory of monoid homomorphisms. Zbl 0805.20057
Geroldinger, Alfred; Halter-Koch, Franz
16
1994
Projective modules and divisor homomorphisms. Zbl 1058.16002
Facchini, Alberto; Halter-Koch, Franz
16
2003
An approximation theorem for semigroups with divisor theory. (Ein Approximationssatz für Halbgruppen mit Divisorentheorie.) Zbl 0742.20060
Halter-Koch, Franz
14
1991
Realization theorems for semigroups with divisor theory. Zbl 0751.20045
Geroldinger, Alfred; Halter-Koch, Franz
14
1992
On the asymptotic behaviour of lengths of factorizations. Zbl 0751.20044
Geroldinger, Alfred; Halter-Koch, Franz
13
1992
Arithmetical interpretation of weighted Davenport constants. Zbl 1307.20020
Halter-Koch, Franz
12
2014
Non-unique factorizations in block semigroups and arithmetical applications. Zbl 0765.11045
Geroldinger, A.; Halter-Koch, F.
11
1992
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
11
1974
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
Characterization of field homomorphisms and derivations by functional equations. Zbl 0962.39013
Halter-Koch, Franz
10
2000
Geschlechtertheorie de r Ringklassenkörper. Zbl 0236.12004
Halter-Koch, Franz
10
1971
Generalized integral closures. Zbl 1017.13003
Halter-Koch, Franz
9
1997
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
Finitary monoids. Zbl 1043.20033
Geroldinger, Alfred; Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian
9
2003
Characterization of higher order derivations by functional equations. (Charakterisierung von Derivationen höherer Ordnung mittels Funktionalgleichungen.) Zbl 1042.39012
Halter-Koch, F.; Reich, L.
9
1998
On orthogonally exponential functions. Zbl 0821.39006
Baron, K.; Halter-Koch, F.; Volkmann, P.
8
1995
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
On the factorization of algebraic integers into irreducibles. Zbl 0541.12004
Halter-Koch, F.
8
1984
Arithmetical semigroups defined by congruences. Zbl 0734.20027
Halter-Koch, Franz
8
1991
Multiplicative ideal theory in the context of commutative monoids. Zbl 1225.13004
Halter-Koch, Franz
8
2011
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
Continued fractions of given symmetric period. Zbl 0739.11001
Halter-Koch, Franz
7
1991
Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number). Zbl 0697.12007
Halter-Koch, Franz
7
1990
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
Non-unique factorizations of algebraic integers. Zbl 1217.11096
Halter-Koch, Franz
7
2008
C-monoids and congruence monoids in Krull domains. Zbl 1093.13016
Halter-Koch, Franz
7
2005
Construction of ideal systems with nice Noetherian properties. Zbl 0988.13002
Halter-Koch, Franz
6
2000
The complete integral closure of monoids and domains. II. Zbl 0837.20073
Geroldinger, A.; Halter-Koch, F.; Lettl, G.
6
1995
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
Zur Einheitenberechnung in totalreellen kubischen Zahlkörpern nach Godwin. Zbl 0408.12005
Brunotte, Horst; Halter-Koch, Franz
6
1979
Group algebras of finite abelian groups and their applications to combinatorial problems. Zbl 1200.05254
Gao, Weidong; Geroldinger, Alfred; Halter-Koch, Franz
6
2009
Remarks on the multiplicative structure of certain one-dimensional integral domains. Zbl 1047.13005
Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian
6
2004
Transfer principles in the theory of non-unique factorizations. Zbl 1087.13002
Geroldinger, Alfred; 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
Factorisation of algebraic integers. Zbl 0506.12005
Halter-Koch, Franz
5
1983
Scarcity of finite polynomial orbits. Zbl 0961.11005
Halter-Koch, F.; Narkiewicz, W.
5
2000
A characterization of derivations by functional equations. Zbl 0964.39023
Halter-Koch, Franz
5
2000
Chebotarev formations and quantitative aspects of non-unique factorizations. Zbl 0762.11041
Halter-Koch, Franz
5
1992
Thue equations associated with Ankeny-Brauer-Chowla number fields. Zbl 0965.11009
Halter-Koch, F.; Lettl, G.; Pethö, A.; Tichy, R. F.
5
1999
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
Characterization of Prüfer multiplication monoids and domains by means of spectral module systems. Zbl 1058.20049
Halter-Koch, Franz
5
2003
Type semigroups and factorization problems. (Typenhalbgruppen und Faktorisierungsprobleme.) Zbl 0769.11039
Halter-Koch, Franz
4
1992
A note on ray class fields of global fields. Zbl 0721.11051
Halter-Koch, Franz
4
1990
Finiteness properties of polynomial mappings. Zbl 0779.12002
Halter-Koch, F.; Narkiewicz, W.
4
1992
A characterization of Krull rings with zero divisors. Zbl 0818.13011
Halter-Koch, Franz
4
1993
Polynomial cycles in finite extension fields. Zbl 1028.11014
Halter-Koch, Franz; Konečná, Petra
4
2002
Weak module systems and applications: A multiplicative theory of integral elements and the Marot property. Zbl 1055.13004
Halter-Koch, Franz
4
2003
Unabhängige Einheitensysteme für eine allgemeine Klasse algebraischer Zahlkörper. Zbl 0309.12005
Halter-Koch, Franz
4
1975
Eine Bemerkung über kubische Einheiten. Zbl 0352.12005
Halter-Koch, Franz
4
1976
Polynomial cycles in finitely generated domains. Zbl 0840.13003
Halter-Koch, F.; Narkiewicz, W.
3
1995
Factorization problems in class number two. Zbl 0816.11053
Halter-Koch, Franz
3
1993
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
Polynomial cycles and dynamical units. Zbl 0882.12003
Halter-Koch, F.; Narkiewicz, W.
3
1996
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
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
Characterization of field homomorphisms by functional equations. Zbl 0991.39011
Halter-Koch, Franz; Reich, Ludwig
3
2000
Über den 4-Rank der Klassengruppe quadratischer Zahlkörper. Zbl 0543.12004
Halter-Koch, Franz
3
1984
Some periodic continued fraction expansions and fundamental units of quadratic orders. (Einige periodische Kettenbruchentwicklungen und Grundeinheiten quadratischer Ordnungen.) Zbl 0764.11009
Halter-Koch, F.
3
1989
Ideal semigroups of noetherian domains and Ponizovski decompositions. Zbl 1114.13015
Halter-Koch, Franz
3
2007
Reell-quadratische Zahlkörper mit großer Grundeinheit. (Real- quadratic fields with large fundamental unit). Zbl 0718.11054
Halter-Koch, F.
3
1989
On products of additive functions. Zbl 0773.39006
Halter-Koch, Franz; Reich, Ludwig; Schwaiger, Jens
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
Characterization of field homomorphisms by functional equations. II. Zbl 0991.39012
Halter-Koch, Franz; Reich, Ludwig
3
2001
Die Struktur der Einheitengruppe für eine Klasse metazyklischer Erweiterungen algebraischer Zahlkörper. Zbl 0384.12003
Halter-Koch, Franz
3
1978
Über Radikalerweiterungen. (On radical extensions). Zbl 0441.12006
Halter-Koch, Franz
3
1980
The tame degree and related invariants of non-unique factorizations. Zbl 1196.13005
Halter-Koch, Franz
3
2008
Eine allgemeine Geschlechtertheorie und ihre Anwendung auf Teilbarkeitsaussagen für Klassenzahlen algebraischer Zahlkörper. Zbl 0371.12008
Halter-Koch, Franz
3
1978
An invitation to algebraic numbers and algebraic functions. Zbl 1477.11002
Halter-Koch, Franz
3
2020
Relative block semigroups and their arithmetical applications. Zbl 0769.11038
Halter-Koch, Franz
3
1992
Tamely generated ideals in finitary monoids. Zbl 1066.20059
Geroldinger, Alfred; Halter-Koch, Franz
3
2002
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
Additive functions commuting with Möbius transformations and field monomorphisms. Zbl 0933.39050
Halter-Koch, Franz; Reich, Ludwig
2
1999
The class group of a commutative order. (Die Klassengruppe einer kommutativen Ordnung.) Zbl 0829.13008
Halter-Koch, Franz
2
1994
Commutative rings and binomial coefficients. Zbl 0764.12002
Halter-Koch, F.; Narkiewicz, W.
2
1992
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
Darstellung natuerlicher Zahlen als Summe von Quadraten. (Representation of natural numbers as sum of quadrat numbers). Zbl 0494.10036
Halter-Koch, Franz
2
1982
Valuation monoids, defining systems, and approximation theorems. Zbl 0880.20047
Halter-Koch, Franz
2
1997
Principal ideals in quadratic orders, continued fractions and Diophantine equations. Zbl 1310.11109
Halter-Koch, Franz
2
2014
Associative power series. Zbl 1318.13035
Halter-Koch, Franz
2
2015
Representation of primes by binary quadratic forms of discriminant \(- 256q\) and \(-128q\). Zbl 0783.11018
Halter-Koch, Franz
2
1993
On the algebraic and arithmetical structure of generalized polynomial algebras. Zbl 0795.13008
Halter-Koch, Franz
2
1993
On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms. Zbl 1524.20058
Geroldinger, A.; Halter-Koch, F.; Zhong, Q.
2
2022
Class field theory and \(L\) functions. Foundations and main results. Zbl 1506.11001
Halter-Koch, Franz
2
2022
An invitation to algebraic numbers and algebraic functions. Zbl 1477.11002
Halter-Koch, Franz
3
2020
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
12
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
25
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
8
2011
Characterization of Prüfer-like monoids and domains by GCD-theories. Zbl 1223.20052
Halter-Koch, Franz
2
2011
Clifford semigroups of ideals in monoids and domains. Zbl 1189.13002
Halter-Koch, Franz
28
2009
Group algebras of finite abelian groups and their applications to combinatorial problems. Zbl 1200.05254
Gao, Weidong; Geroldinger, Alfred; Halter-Koch, Franz
6
2009
Mixed invertibility and Prüfer-like monoids and domains. Zbl 1177.13009
Halter-Koch, Franz
2
2009
Non-unique factorizations of algebraic integers. Zbl 1217.11096
Halter-Koch, Franz
7
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
363
2006
Non-unique factorizations: a survey. Zbl 1117.13004
Geroldinger, Alfred; Halter-Koch, Franz
70
2006
C-monoids and congruence monoids in Krull domains. Zbl 1093.13016
Halter-Koch, Franz
7
2005
Transfer principles in the theory of non-unique factorizations. Zbl 1087.13002
Geroldinger, Alfred; Halter-Koch, Franz
6
2005
Congruence monoids. Zbl 1057.13003
Geroldinger, Alfred; Halter-Koch, Franz
24
2004
Remarks on the multiplicative structure of certain one-dimensional integral domains. Zbl 1047.13005
Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian
6
2004
Kronecker function rings and generalized integral closures. Zbl 1073.13507
Halter-Koch, Franz
20
2003
Projective modules and divisor homomorphisms. Zbl 1058.16002
Facchini, Alberto; Halter-Koch, Franz
16
2003
Finitary monoids. Zbl 1043.20033
Geroldinger, Alfred; Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian
9
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
4
2003
Representation of prime powers in arithmetical progressions by binary quadratic forms. Zbl 1048.11030
Halter-Koch, Franz
2
2003
Inside factorial monoids and integral domains. Zbl 1087.13510
Chapman, Scott T.; Halter-Koch, Franz; Krause, Ulrich
16
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
3
2002
Localizing systems, module systems, and semistar operations. Zbl 1055.13003
Halter-Koch, Franz
20
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
Scarcity of finite polynomial orbits. Zbl 0961.11005
Halter-Koch, F.; Narkiewicz, W.
5
2000
A characterization of derivations by functional equations. Zbl 0964.39023
Halter-Koch, Franz
5
2000
Characterization of field homomorphisms by functional equations. Zbl 0991.39011
Halter-Koch, Franz; Reich, Ludwig
3
2000
Algebraic number theory and diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30–September 5, 1998. Zbl 0940.00025
1
2000
Thue equations associated with Ankeny-Brauer-Chowla number fields. Zbl 0965.11009
Halter-Koch, F.; Lettl, G.; Pethö, A.; Tichy, R. F.
5
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
178
1998
Characterization of higher order derivations by functional equations. (Charakterisierung von Derivationen höherer Ordnung mittels Funktionalgleichungen.) Zbl 1042.39012
Halter-Koch, F.; Reich, L.
9
1998
Criteria for unique factorization in integral domains. Zbl 0949.13015
Anderson, D. D.; Chapman, Scott T.; Halter-Koch, Franz; Zafrullah, Muhammad
6
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
9
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
21
1995
Divisor theories with primary elements and weakly Krull domains. Zbl 0849.20041
Halter-Koch, Franz
21
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.
6
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
16
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
A characterization of Krull rings with zero divisors. Zbl 0818.13011
Halter-Koch, Franz
4
1993
Factorization problems in class number two. Zbl 0816.11053
Halter-Koch, Franz
3
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
On products of additive functions. Zbl 0773.39006
Halter-Koch, Franz; Reich, Ludwig; Schwaiger, Jens
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
Representation of primes by binary quadratic forms of discriminant \(- 256q\) and \(-128q\). Zbl 0783.11018
Halter-Koch, Franz
2
1993
On the algebraic and arithmetical structure of generalized polynomial algebras. Zbl 0795.13008
Halter-Koch, Franz
2
1993
On products of additive functions (a third approach). Zbl 0777.12001
Halter-Koch, Franz
1
1993
A theorem of Ramanujan concerning binary quadratic forms. Zbl 0784.11011
Halter-Koch, Franz
1
1993
Finiteness theorems for factorizations. Zbl 0751.20046
Halter-Koch, Franz
25
1992
A generalization of Davenport’s constant and its arithmetical applications. Zbl 0760.11031
Halter-Koch, Franz
19
1992
Realization theorems for semigroups with divisor theory. Zbl 0751.20045
Geroldinger, Alfred; Halter-Koch, Franz
14
1992
On the asymptotic behaviour of lengths of factorizations. Zbl 0751.20044
Geroldinger, Alfred; Halter-Koch, Franz
13
1992
Non-unique factorizations in block semigroups and arithmetical applications. Zbl 0765.11045
Geroldinger, A.; Halter-Koch, F.
11
1992
Chebotarev formations and quantitative aspects of non-unique factorizations. Zbl 0762.11041
Halter-Koch, Franz
5
1992
Type semigroups and factorization problems. (Typenhalbgruppen und Faktorisierungsprobleme.) Zbl 0769.11039
Halter-Koch, Franz
4
1992
Finiteness properties of polynomial mappings. Zbl 0779.12002
Halter-Koch, F.; Narkiewicz, W.
4
1992
Relative block semigroups and their arithmetical applications. Zbl 0769.11038
Halter-Koch, Franz
3
1992
Commutative rings and binomial coefficients. Zbl 0764.12002
Halter-Koch, F.; Narkiewicz, W.
2
1992
Relative types and their arithmetical applications. Zbl 0778.11057
Halter-Koch, Franz
1
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
8
1991
Continued fractions of given symmetric period. Zbl 0739.11001
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
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
27
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
4
1990
Some periodic continued fraction expansions and fundamental units of quadratic orders. (Einige periodische Kettenbruchentwicklungen und Grundeinheiten quadratischer Ordnungen.) Zbl 0764.11009
Halter-Koch, F.
3
1989
Reell-quadratische Zahlkörper mit großer Grundeinheit. (Real- quadratic fields with large fundamental unit). Zbl 0718.11054
Halter-Koch, F.
3
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
...and 30 more Documents
all top 5

Cited by 625 Authors

71 Geroldinger, Alfred
44 Halter-Koch, Franz
39 Chapman, Scott Thomas
32 Gao, Weidong
31 Schmid, Wolfgang Alexander
30 Zhong, Qinghai
27 Fontana, Marco
26 Gotti, Felix
23 Chang, Gyu Whan
22 Grynkiewicz, David J.
22 O’Neill, Christopher
21 Baeth, Nicholas R.
19 Li, Yuanlin
18 Anderson, Daniel D.
17 Zafrullah, Muhammad
15 García Sánchez, Pedro A.
15 Peng, Jiangtao
13 Anderson, David Fenimore
13 Facchini, Alberto
13 Qu, Yongke
13 Yuan, Pingzhi
12 Han, Dongchun
12 Juett, Jason Robert
12 Reinhart, Andreas
12 Wang, Guoqing
12 Zeng, Xiangneng
11 Smith, William W.
10 Hassler, Wolfgang
10 Ponomarenko, Vadim
10 Tringali, Salvatore
9 Hui, Wanzhen
9 Kim, Hwankoo
9 Mollin, Richard Anthony
9 Picozza, Giampaolo
9 Smertnig, Daniel
8 Adhikari, Sukumar Das
8 Domokos, Mátyás
8 Dumitrescu, Tiberiu
8 El Baghdadi, Said
8 Finocchiaro, Carmelo Antonio
8 García García, Juan Ignacio
8 Polo, Harold
8 Zhang, Hanbin
7 Cziszter, Kálmán
7 Fan, Yushuang
7 Frisch, Sophie
7 Girard, Benjamin
7 Gotti, Marly
7 Mimouni, Abdeslam
7 Philipp, Andreas
6 Baginski, Paul
6 Coykendall, James
6 Liu, Chao
6 Mahdou, Najib
6 Narkiewicz, Władysław
6 Oh, Jun-Seok
6 Ordaz, Oscar
6 Pelayo, Roberto Carlos
6 Rosales, José Carlos
6 Schertz, Reinhard
6 Tomita, Koshi
6 Windisch, Daniel
5 Brzdęk, Janusz
5 Deng, Guixin
5 Ebanks, Bruce R.
5 Fadinger, Victor
5 Gabelli, Stefania
5 Kaczorowski, Jerzy
5 Kainrath, Florian
5 Kawamoto, Fuminori
5 Krause, Ulrich
5 Li, Xue
5 Lim, Jung Wook
5 Llena, David
5 Loper, Kenneth Alan
5 Mooney, Christopher Park
5 Moreno-Frías, Maria Angeles
5 Moriya, B. K.
5 Nakato, Sarah
5 Olberding, Bruce M.
5 Park, Mi Hee
5 Plagne, Alain
5 Spirito, Dario
5 Zhao, Kevin
4 Phạm Ngọc Ánh
4 Ara, Pere
4 Chintamani, Mohan N.
4 Garcia, Stephan Ramon
4 Hong, Siao
4 Li, Bangzheng
4 Marchan, Luz Elimar
4 Mizuno, Yoshinori
4 Močkoř, Jiří
4 Oh, Dong Yeol
4 Radziejewski, Maciej
4 Rissner, Roswitha
4 Sahandi, Parviz
4 Schaeffer, George J.
4 Sikorska, Justyna
4 Thangadurai, Ravindranathan
...and 525 more Authors
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Cited in 147 Serials

85 Communications in Algebra
61 Journal of Algebra
57 Journal of Number Theory
43 Journal of Pure and Applied Algebra
36 Semigroup Forum
23 Journal of Algebra and its Applications
18 International Journal of Number Theory
16 Journal of Commutative Algebra
14 Discrete Mathematics
14 Acta Arithmetica
14 Archiv der Mathematik
14 Journal of Combinatorial Theory. Series A
14 Monatshefte für 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 Journal de Théorie des Nombres de Bordeaux
11 Proceedings of the American Mathematical Society
11 Integers
10 Israel Journal of Mathematics
10 Manuscripta Mathematica
10 Results in Mathematics
10 European Journal of Combinatorics
10 Aequationes Mathematicae
9 Acta Mathematica Hungarica
8 American Mathematical Monthly
8 Linear Algebra and its Applications
8 The Electronic Journal of Combinatorics
7 Mathematische Annalen
7 Mathematica Slovaca
7 Transactions of the American Mathematical Society
7 Forum Mathematicum
7 The Ramanujan Journal
6 Periodica Mathematica Hungarica
6 Mathematics of Computation
6 Colloquium Mathematicum
6 Czechoslovak Mathematical Journal
6 Functiones et Approximatio. Commentarii Mathematici
6 International Journal of Algebra and Computation
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Annales de l’Institut Fourier
5 Nagoya Mathematical Journal
5 Acta Mathematica et Informatica Universitatis Ostraviensis
5 Actes des Rencontres du C.I.R.M.
5 AIMS Mathematics
4 Advances in Mathematics
4 Mathematische Zeitschrift
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Communications of the Korean Mathematical Society
4 Journal of the Australian Mathematical Society
4 Arabian Journal of Mathematics
4 Bollettino dell’Unione Matematica Italiana
3 Algebra Universalis
3 Glasgow Mathematical Journal
3 Journal für die Reine und Angewandte Mathematik
3 Mathematika
3 Quaestiones Mathematicae
3 Ricerche di Matematica
3 Bulletin of the Korean Mathematical Society
3 Journal of Symbolic Computation
3 JP Journal of Algebra, Number Theory and Applications
2 Bulletin of the Australian Mathematical Society
2 Journal of Mathematical Analysis and Applications
2 Journal of the London Mathematical Society. Second Series
2 Journal of Soviet Mathematics
2 Pacific Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Rendiconti del Seminario Matematico della Università di Padova
2 Advances in Applied Mathematics
2 Revista Matemática Iberoamericana
2 SIAM Journal on Discrete Mathematics
2 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
2 Designs, Codes and Cryptography
2 Elemente der Mathematik
2 Experimental Mathematics
2 Applied Categorical Structures
2 Algebra Colloquium
2 The New York Journal of Mathematics
2 Algebras and Representation Theory
2 International Electronic Journal of Algebra (IEJA)
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Lithuanian Mathematical Journal
1 Nonlinearity
1 Ukrainian Mathematical Journal
1 Arkiv för Matematik
1 Mathematics Magazine
1 Beiträge zur Algebra und Geometrie
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Computing
1 Dissertationes Mathematicae
1 Fundamenta 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
...and 47 more Serials

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