Edit Profile (opens in new tab) Halter-Koch, Franz (b. 1944 d. 2023) Co-Author Distance Author ID: halter-koch.franz Published as: Halter-Koch, Franz; Halter-Koch, F. Homepage: https://imsc.uni-graz.at/halterko/inhalt.html External Links: MGP · Wikidata · Google Scholar · GND · IdRef Documents Indexed: 154 Publications since 1967, including 5 Books and 1 Additional arXiv Preprint 2 Contributions as Editor Reviewing Activity: 154 Reviews Biographic References: 2 Publications Co-Authors: 38 Co-Authors with 54 Joint Publications 816 Co-Co-Authors all top 5 Co-Authors 102 single-authored 15 Geroldinger, Alfred 6 Narkiewicz, Władysław 5 Reich, Ludwig 3 Brunotte, Horst 3 Lettl, Günter Hermann Alexander 3 Tichy, Robert Franz 2 Chapman, Scott Thomas 2 Hassler, Wolfgang 2 Kainrath, Florian 2 Kaplan, Pierre 2 Williams, Kenneth S. 1 Anderson, Daniel D. 1 Baron, Karol 1 Facchini, Alberto 1 Flor, Peter 1 Foroutan, Andreas 1 Frisch, Sophie 1 Gao, Weidong 1 Grabner, Peter J. 1 Ishii, Noburo 1 Kaczorowski, Jerzy 1 Konečná, Petra 1 Krause, Ulrich 1 Leonard, Philip A. 1 Lorenz, Falko 1 Moser, Nicole 1 Müller, Wolfgang 1 Pacher, Maximilian 1 Pethő, Attila 1 Schmid, Wolfgang Alexander 1 Schwaiger, Jens 1 Steindl, Werner 1 Stender, Hans-Joachim 1 Volkmann, Peter 1 Warlimont, Richard 1 Yamamoto, Yoshihiko 1 Zafrullah, Muhammad 1 Zhong, Qinghai 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 all top 5 Fields 106 Number theory (11-XX) 52 Commutative algebra (13-XX) 47 Group theory and generalizations (20-XX) 20 Field theory and polynomials (12-XX) 11 Difference and functional equations (39-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Associative rings and algebras (16-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 1 Combinatorics (05-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 131 Publications have been cited 1,465 times in 908 Documents Cited by ▼ Year ▼ Non-unique factorizations. Algebraic, combinatorial and analytic theory. Zbl 1113.11002 Geroldinger, Alfred; Halter-Koch, Franz 395 2006 Ideal systems. An introduction to multiplicative ideal theory. Zbl 0953.13001 Halter-Koch, Franz 184 1998 Non-unique factorizations: a survey. Zbl 1117.13004 Geroldinger, Alfred; Halter-Koch, Franz 67 2006 Quadratic irrationals. An introduction to classical number theory. Zbl 1271.11001 Halter-Koch, Franz 32 2013 Clifford semigroups of ideals in monoids and domains. Zbl 1189.13002 Halter-Koch, Franz 27 2009 Finiteness theorems for factorizations. Zbl 0751.20046 Halter-Koch, Franz 27 1992 Halbgruppen mit Divisorentheorie. (Semigroups with divisor theory). Zbl 0698.20054 Halter-Koch, Franz 27 1990 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 23 1995 Divisor theories with primary elements and weakly Krull domains. Zbl 0849.20041 Halter-Koch, Franz 22 1995 Kronecker function rings and generalized integral closures. Zbl 1073.13507 Halter-Koch, Franz 21 2003 Localizing systems, module systems, and semistar operations. Zbl 1055.13003 Halter-Koch, Franz 21 2001 Finitely generated monoids, finitely primary monoids, and factorization properties of integral domains. Zbl 0882.13027 Halter-Koch, Franz 20 1997 A generalization of Davenport’s constant and its arithmetical applications. Zbl 0760.11031 Halter-Koch, Franz 19 1992 Arithmetical theory of monoid homomorphisms. Zbl 0805.20057 Geroldinger, Alfred; Halter-Koch, Franz 17 1994 Inside factorial monoids and integral domains. Zbl 1087.13510 Chapman, Scott T.; Halter-Koch, Franz; Krause, Ulrich 17 2002 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 Non-unique factorizations in orders of global fields. Zbl 0812.11061 Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy 10 1995 Genus theory of ring class fields. (Geschlechtertheorie der Ringklassenkörper.) Zbl 0236.12004 Halter-Koch, Franz 10 1971 Characterization of field homomorphisms and derivations by functional equations. Zbl 0962.39013 Halter-Koch, Franz 10 2000 On the asymptotic behaviour of the number of distinct factorizations into irreducibles. Zbl 0792.11042 Halter-Koch, Franz 9 1993 Generalized integral closures. Zbl 1017.13003 Halter-Koch, Franz 9 1997 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 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 9 1972 On the factorization of algebraic integers into irreducibles. Zbl 0541.12004 Halter-Koch, F. 8 1984 On orthogonally exponential functions. Zbl 0821.39006 Baron, K.; Halter-Koch, F.; Volkmann, P. 8 1995 Arithmetical semigroups defined by congruences. Zbl 0734.20027 Halter-Koch, Franz 8 1991 Factorisation of algebraic integers. Zbl 0506.12005 Halter-Koch, Franz 8 1983 Continued fractions of given symmetric period. Zbl 0739.11001 Halter-Koch, Franz 8 1991 Non-unique factorizations of algebraic integers. Zbl 1217.11096 Halter-Koch, Franz 8 2008 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 Multiplicative ideal theory in the context of commutative monoids. Zbl 1225.13004 Halter-Koch, Franz 8 2011 C-monoids and congruence monoids in Krull domains. Zbl 1093.13016 Halter-Koch, Franz 7 2005 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 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 The complete integral closure of monoids and domains. II. Zbl 0837.20073 Geroldinger, A.; Halter-Koch, F.; Lettl, G. 6 1995 Zur Einheitenberechnung in totalreellen kubischen Zahlkörpern nach Godwin. Zbl 0408.12005 Brunotte, Horst; Halter-Koch, Franz 6 1979 Transfer principles in the theory of non-unique factorizations. Zbl 1087.13002 Geroldinger, Alfred; Halter-Koch, Franz 6 2005 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 Criteria for unique factorization in integral domains. Zbl 0949.13015 Anderson, D. D.; Chapman, Scott T.; Halter-Koch, Franz; Zafrullah, Muhammad 6 1998 Group algebras of finite abelian groups and their applications to combinatorial problems. Zbl 1200.05254 Gao, Weidong; Geroldinger, Alfred; Halter-Koch, Franz 6 2009 Construction of ideal systems with nice Noetherian properties. Zbl 0988.13002 Halter-Koch, Franz 6 2000 Remarks on the multiplicative structure of certain one-dimensional integral domains. Zbl 1047.13005 Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian 6 2004 Prime-producing quadratic polynomials and class numbers of quadratic orders. Zbl 0728.11049 Halter-Koch, F. 5 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 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 A note on ray class fields of global fields. Zbl 0721.11051 Halter-Koch, Franz 5 1990 A characterization of derivations by functional equations. Zbl 0964.39023 Halter-Koch, Franz 5 2000 Characterization of Prüfer multiplication monoids and domains by means of spectral module systems. Zbl 1058.20049 Halter-Koch, Franz 5 2003 Scarcity of finite polynomial orbits. Zbl 0961.11005 Halter-Koch, F.; Narkiewicz, W. 5 2000 An invitation to algebraic numbers and algebraic functions. Zbl 1477.11002 Halter-Koch, Franz 5 2020 Unabhängige Einheitensysteme für eine allgemeine Klasse algebraischer Zahlkörper. Zbl 0309.12005 Halter-Koch, Franz 4 1975 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 Type semigroups and factorization problems. (Typenhalbgruppen und Faktorisierungsprobleme.) Zbl 0769.11039 Halter-Koch, Franz 4 1992 Eine Bemerkung über kubische Einheiten. Zbl 0352.12005 Halter-Koch, Franz 4 1976 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 Über den 4-Rank der Klassengruppe quadratischer Zahlkörper. Zbl 0543.12004 Halter-Koch, Franz 3 1984 Factorization problems in class number two. Zbl 0816.11053 Halter-Koch, Franz 3 1993 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 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 Polynomial cycles in finitely generated domains. Zbl 0840.13003 Halter-Koch, F.; Narkiewicz, W. 3 1995 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 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 Polynomial cycles and dynamical units. Zbl 0882.12003 Halter-Koch, F.; Narkiewicz, W. 3 1996 Über Radikalerweiterungen. (On radical extensions). Zbl 0441.12006 Halter-Koch, Franz 3 1980 Characterization of field homomorphisms by functional equations. Zbl 0991.39011 Halter-Koch, Franz; Reich, Ludwig 3 2000 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 Ideal semigroups of noetherian domains and Ponizovski decompositions. Zbl 1114.13015 Halter-Koch, Franz 3 2007 Relative block semigroups and their arithmetical applications. Zbl 0769.11038 Halter-Koch, Franz 3 1992 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 The tame degree and related invariants of non-unique factorizations. Zbl 1196.13005 Halter-Koch, Franz 3 2008 Über Pell’sche Gleichungen und Kettenbrüche. (On Pell equations and continued fractions). Zbl 0631.10008 Halter-Koch, Franz 3 1987 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 Characterization of field homomorphisms by functional equations. II. Zbl 0991.39012 Halter-Koch, Franz; Reich, Ludwig 3 2001 Principal ideals in quadratic orders, continued fractions and Diophantine equations. Zbl 1310.11109 Halter-Koch, Franz 3 2014 Associative power series. Zbl 1318.13035 Halter-Koch, Franz 3 2015 The class group of a commutative order. (Die Klassengruppe einer kommutativen Ordnung.) Zbl 0829.13008 Halter-Koch, Franz 2 1994 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 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 Commutative rings and binomial coefficients. Zbl 0764.12002 Halter-Koch, F.; Narkiewicz, W. 2 1992 Valuation monoids, defining systems, and approximation theorems. Zbl 0880.20047 Halter-Koch, Franz 2 1997 Additive functions commuting with Möbius transformations and field monomorphisms. Zbl 0933.39050 Halter-Koch, Franz; Reich, Ludwig 2 1999 Lucas sequences and quadratic orders. Zbl 1357.11017 Halter-Koch, Franz 2 2013 Characterization of Prüfer-like monoids and domains by GCD-theories. Zbl 1223.20052 Halter-Koch, Franz 2 2011 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 5 2020 Associative power series. Zbl 1318.13035 Halter-Koch, Franz 3 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 3 2014 Quadratic irrationals. An introduction to classical number theory. Zbl 1271.11001 Halter-Koch, Franz 32 2013 Lucas sequences and quadratic orders. Zbl 1357.11017 Halter-Koch, Franz 2 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 Diophantine equations of Pellian type. Zbl 1241.11030 Halter-Koch, Franz 1 2011 Clifford semigroups of ideals in monoids and domains. Zbl 1189.13002 Halter-Koch, Franz 27 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 8 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 395 2006 Non-unique factorizations: a survey. Zbl 1117.13004 Geroldinger, Alfred; Halter-Koch, Franz 67 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 21 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 17 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 21 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 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 184 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 20 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 23 1995 Divisor theories with primary elements and weakly Krull domains. Zbl 0849.20041 Halter-Koch, Franz 22 1995 Non-unique factorizations in orders of global fields. Zbl 0812.11061 Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy 10 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 17 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 products of additive functions. Zbl 0773.39006 Halter-Koch, Franz; Reich, Ludwig; Schwaiger, Jens 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 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 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 Finiteness theorems for factorizations. Zbl 0751.20046 Halter-Koch, Franz 27 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 Finiteness properties of polynomial mappings. Zbl 0779.12002 Halter-Koch, F.; Narkiewicz, W. 4 1992 Type semigroups and factorization problems. (Typenhalbgruppen und Faktorisierungsprobleme.) Zbl 0769.11039 Halter-Koch, Franz 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 Polynomial mappings defined by forms with a common factor. Zbl 0778.12002 Halter-Koch, F.; Narkiewicz, W. 1 1992 Relative types and their arithmetical applications. Zbl 0778.11057 Halter-Koch, Franz 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 8 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 Prime-producing quadratic polynomials and class numbers of quadratic orders. Zbl 0728.11049 Halter-Koch, F. 5 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 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 5 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. 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 ...and 31 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 649 Authors 71 Geroldinger, Alfred 44 Halter-Koch, Franz 40 Chapman, Scott Thomas 33 Gao, Weidong 31 Schmid, Wolfgang Alexander 31 Zhong, Qinghai 28 Gotti, Felix 27 Fontana, Marco 23 Chang, Gyu Whan 22 O’Neill, Christopher 21 Baeth, Nicholas R. 21 Li, Yuanlin 18 Anderson, Daniel D. 17 Zafrullah, Muhammad 16 García Sánchez, Pedro A. 15 Peng, Jiangtao 14 Qu, Yongke 13 Anderson, David Fenimore 13 Facchini, Alberto 13 Juett, Jason Robert 13 Reinhart, Andreas 13 Tringali, Salvatore 13 Yuan, Pingzhi 12 Grynkiewicz, David J. 12 Han, Dongchun 12 Wang, Guoqing 12 Zeng, Xiangneng 11 Hui, Wanzhen 11 Smith, William W. 10 Hassler, Wolfgang 10 Ponomarenko, Vadim 9 García García, Juan Ignacio 9 Kim, Hwankoo 9 Mollin, Richard Anthony 9 Picozza, Giampaolo 9 Smertnig, Daniel 9 Windisch, Daniel 8 Adhikari, Sukumar Das 8 Domokos, Mátyás 8 Dumitrescu, Tiberiu 8 El Baghdadi, Said 8 Fan, Yushuang 8 Finocchiaro, Carmelo Antonio 8 Gotti, Marly 8 Mimouni, Abdeslam 8 Polo, Harold 8 Zhang, Hanbin 7 Cziszter, Kálmán 7 Fadinger-Held, Victor 7 Frisch, Sophie 7 Girard, Benjamin 7 Kawamoto, Fuminori 7 Mahdou, Najib 7 Philipp, Andreas 7 Rosales, José Carlos 7 Tomita, Koshi 6 Baginski, Paul 6 Coykendall, James 6 Krause, Ulrich 6 Liu, Chao 6 Loper, Kenneth Alan 6 Moriya, B. K. 6 Narkiewicz, Władysław 6 Oh, Jun-Seok 6 Ordaz, Oscar 6 Pelayo, Roberto Carlos 6 Schertz, Reinhard 5 Brzdęk, Janusz 5 Deng, Guixin 5 Ebanks, Bruce R. 5 Gabelli, Stefania 5 Kaczorowski, Jerzy 5 Kainrath, Florian 5 Kishi, Yasuhiro 5 Li, Xue 5 Lim, Jung Wook 5 Llena, David 5 Mizuno, Yoshinori 5 Mooney, Christopher Park 5 Moreno-Frías, Maria Angeles 5 Nakato, Sarah 5 Olberding, Bruce M. 5 Park, Mi Hee 5 Plagne, Alain 5 Pollack, Paul 5 Spirito, Dario 5 Zhao, Kevin 4 Phạm Ngọc Ánh 4 Ara, Pere 4 Bakkari, Chahrazade 4 Chintamani, Mohan N. 4 Garcia, Stephan Ramon 4 Hong, Siao 4 Huang, Meiling 4 Lemos, Abílio 4 Li, Bangzheng 4 Marchan, Luz Elimar 4 Močkoř, Jiří 4 Oh, Dong Yeol 4 Radziejewski, Maciej ...and 549 more Authors all top 5 Cited in 151 Serials 88 Communications in Algebra 63 Journal of Algebra 61 Journal of Number Theory 44 Journal of Pure and Applied Algebra 36 Semigroup Forum 25 Journal of Algebra and its Applications 18 International Journal of Number Theory 17 Acta Arithmetica 17 Journal of Commutative Algebra 16 Journal of Combinatorial Theory. Series A 15 Archiv der Mathematik 14 Discrete Mathematics 14 Monatshefte für Mathematik 13 Proceedings of the American Mathematical Society 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 12 Integers 11 Israel Journal of Mathematics 10 Manuscripta Mathematica 10 Results in Mathematics 10 European Journal of Combinatorics 10 Aequationes Mathematicae 9 American Mathematical Monthly 9 Acta Mathematica Hungarica 9 The Electronic Journal of Combinatorics 8 Colloquium Mathematicum 8 Linear Algebra and its Applications 8 The Ramanujan Journal 7 Periodica Mathematica Hungarica 7 Mathematische Annalen 7 Mathematica Slovaca 7 Transactions of the American Mathematical Society 7 Forum Mathematicum 6 Mathematics of Computation 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 Communications of the Korean Mathematical Society 5 Actes des Rencontres du C.I.R.M. 5 AIMS Mathematics 4 Advances in Mathematics 4 Mathematische Zeitschrift 4 Mathematika 4 Quaestiones Mathematicae 4 Journal of Symbolic Computation 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 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 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Ricerche di Matematica 3 Bulletin of the Korean Mathematical Society 3 JP Journal of Algebra, Number Theory and Applications 2 Bulletin of the Australian Mathematical Society 2 Communications in Mathematical Physics 2 Journal of Mathematical Analysis and Applications 2 International Journal of Mathematics and Mathematical Sciences 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 Seminario Matematico della Università di Padova 2 Tokyo Journal of Mathematics 2 Advances in Applied Mathematics 2 Combinatorica 2 Revista Matemática Iberoamericana 2 SIAM Journal on Discrete Mathematics 2 Journal of the Ramanujan Mathematical Society 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 Kyushu Journal of Mathematics 2 The New York Journal of Mathematics 2 Algebras and Representation Theory 2 International Electronic Journal of Algebra (IEJA) 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 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Computing 1 Dissertationes Mathematicae ...and 51 more Serials all top 5 Cited in 37 Fields 510 Number theory (11-XX) 391 Group theory and generalizations (20-XX) 390 Commutative algebra (13-XX) 78 Associative rings and algebras (16-XX) 33 Combinatorics (05-XX) 31 Order, lattices, ordered algebraic structures (06-XX) 24 Difference and functional equations (39-XX) 21 Algebraic geometry (14-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 11 Field theory and polynomials (12-XX) 9 Computer science (68-XX) 8 Category theory; homological algebra (18-XX) 8 Functional analysis (46-XX) 7 \(K\)-theory (19-XX) 5 Mathematical logic and foundations (03-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Convex and discrete geometry (52-XX) 5 Information and communication theory, circuits (94-XX) 3 Topological groups, Lie groups (22-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 3 Operations research, mathematical programming (90-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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