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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: 152 Reviews Biographic References: 1 Publication Co-Authors: 36 Co-Authors with 52 Joint Publications 758 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 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 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 105 Number theory (11-XX) 51 Commutative algebra (13-XX) 46 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 126 Publications have been cited 1,227 times in 762 Documents Cited by ▼ Year ▼ Non-unique factorizations. Algebraic, combinatorial and analytic theory. Zbl 1113.11002Geroldinger, Alfred; Halter-Koch, Franz 286 2006 Ideal systems. An introduction to multiplicative ideal theory. Zbl 0953.13001Halter-Koch, Franz 159 1998 Non-unique factorizations: a survey. Zbl 1117.13004Geroldinger, Alfred; Halter-Koch, Franz 62 2006 Clifford semigroups of ideals in monoids and domains. Zbl 1189.13002Halter-Koch, Franz 28 2009 Halbgruppen mit Divisorentheorie. (Semigroups with divisor theory). Zbl 0698.20054Halter-Koch, Franz 24 1990 Congruence monoids. Zbl 1057.13003Geroldinger, Alfred; Halter-Koch, Franz 21 2004 Elasticity of factorizations in atomic monoids and integral domains. Zbl 0844.11068Halter-Koch, Franz 20 1995 Divisor theories with primary elements and weakly Krull domains. Zbl 0849.20041Halter-Koch, Franz 20 1995 Kronecker function rings and generalized integral closures. Zbl 1073.13507Halter-Koch, Franz 20 2003 Finiteness theorems for factorizations. Zbl 0751.20046Halter-Koch, Franz 19 1992 Finitely generated monoids, finitely primary monoids, and factorization properties of integral domains. Zbl 0882.13027Halter-Koch, Franz 19 1997 Localizing systems, module systems, and semistar operations. Zbl 1055.13003Halter-Koch, Franz 19 2001 A generalization of Davenport’s constant and its arithmetical applications. Zbl 0760.11031Halter-Koch, Franz 18 1992 Quadratic irrationals. An introduction to classical number theory. Zbl 1271.11001Halter-Koch, Franz 17 2013 Inside factorial monoids and integral domains. Zbl 1087.13510Chapman, Scott T.; Halter-Koch, Franz; Krause, Ulrich 15 2002 Projective modules and divisor homomorphisms. Zbl 1058.16002Facchini, Alberto; Halter-Koch, Franz 15 2003 Arithmetical theory of monoid homomorphisms. Zbl 0805.20057Geroldinger, Alfred; Halter-Koch, Franz 15 1994 An approximation theorem for semigroups with divisor theory. (Ein Approximationssatz für Halbgruppen mit Divisorentheorie.) Zbl 0742.20060Halter-Koch, Franz 14 1991 Realization theorems for semigroups with divisor theory. Zbl 0751.20045Geroldinger, Alfred; Halter-Koch, Franz 13 1992 On the asymptotic behaviour of lengths of factorizations. Zbl 0751.20044Geroldinger, Alfred; Halter-Koch, Franz 12 1992 Non-unique factorizations in block semigroups and arithmetical applications. Zbl 0765.11045Geroldinger, A.; Halter-Koch, F. 11 1992 Arithmetische Theorie der Normalkörper von 2-Potenzgrad mit Diedergruppe. (Arithmetic theory of normal fields of 2-power degree with dihedral group). Zbl 0229.12006Halter-Koch, Franz 11 1971 Unabhängige Einheiten für die Körper \(K=Q (\root n \of {D^n \pm d})\) mit \(d/D^n\). Zbl 0297.12008Halter-Koch, Franz; Stender, Hans-Joachim 10 1974 Geschlechtertheorie de r Ringklassenkörper. Zbl 0236.12004Halter-Koch, Franz 10 1971 Characterization of field homomorphisms and derivations by functional equations. Zbl 0962.39013Halter-Koch, Franz 10 2000 Arithmetical interpretation of weighted Davenport constants. Zbl 1307.20020Halter-Koch, Franz 9 2014 Non-unique factorizations in orders of global fields. Zbl 0812.11061Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy 9 1995 On the asymptotic behaviour of the number of distinct factorizations into irreducibles. Zbl 0792.11042Halter-Koch, Franz 9 1993 Finitary monoids. Zbl 1043.20033Geroldinger, Alfred; Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian 9 2003 On the factorization of algebraic integers into irreducibles. Zbl 0541.12004Halter-Koch, F. 8 1984 An Artin character and representations of primes by binary quadratic forms. II. Zbl 0485.12003Halter-Koch, Franz; Kaplan, Pierre; Williams, Kenneth S. 8 1982 Characterization of higher order derivations by functional equations. (Charakterisierung von Derivationen höherer Ordnung mittels Funktionalgleichungen.) Zbl 1042.39012Halter-Koch, F.; Reich, L. 8 1998 On orthogonally exponential functions. Zbl 0821.39006Baron, K.; Halter-Koch, F.; Volkmann, P. 8 1995 Generalized integral closures. Zbl 1017.13003Halter-Koch, Franz 8 1997 Einseinheitengruppen und prime Restklassengruppen in quadratischen Zahlkörpern. (One-unit groups and prime residue class groups in quadratic number fields). Zbl 0229.12004Halter-Koch, Franz 8 1972 Non-unique factorizations of algebraic integers. Zbl 1217.11096Halter-Koch, Franz 7 2008 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 0416.12003Halter-Koch, Franz 7 1977 Arithmetical semigroups defined by congruences. Zbl 0734.20027Halter-Koch, Franz 7 1991 Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number). Zbl 0697.12007Halter-Koch, Franz 7 1990 C-monoids and congruence monoids in Krull domains. Zbl 1093.13016Halter-Koch, Franz 7 2005 Sur le nombre de classes de certaines extensions, metacycliques sur \(\mathbb{Q}\) ou sur un corps quadratiques imaginaire. Zbl 0368.12003Halter-Koch, Franz; Moser, Nicole 6 1978 On the number and ideal theory of one-dimensional noetherian integral domains. (Zur Zahlen- und Idealtheorie eindimensionaler noetherscher Integritätsbereiche.) Zbl 0743.13001Halter-Koch, Franz 6 1991 Criteria for unique factorization in integral domains. Zbl 0949.13015Anderson, D. D.; Chapman, Scott T.; Halter-Koch, Franz; Zafrullah, Muhammad 6 1998 The complete integral closure of monoids and domains. II. Zbl 0837.20073Geroldinger, A.; Halter-Koch, F.; Lettl, G. 6 1995 Multiplicative ideal theory in the context of commutative monoids. Zbl 1225.13004Halter-Koch, Franz 6 2011 Zur Einheitenberechnung in totalreellen kubischen Zahlkörpern nach Godwin. Zbl 0408.12005Brunotte, Horst; Halter-Koch, Franz 6 1979 Transfer principles in the theory of non-unique factorizations. Zbl 1087.13002Geroldinger, Alfred; Halter-Koch, Franz 6 2005 Construction of ideal systems with nice Noetherian properties. Zbl 0988.13002Halter-Koch, Franz 6 2000 Quantitative aspects of non-unique factorization: A general theory with applications to algebraic function fields. Zbl 0736.11064Halter-Koch, Franz; Müller, Wolfgang 5 1991 Continued fractions of given symmetric period. Zbl 0739.11001Halter-Koch, Franz 5 1991 Prime-producing quadratic polynomials and class numbers of quadratic orders. Zbl 0728.11049Halter-Koch, F. 5 1991 Characterization of Prüfer multiplication monoids and domains by means of spectral module systems. Zbl 1058.20049Halter-Koch, Franz 5 2003 Scarcity of finite polynomial orbits. Zbl 0961.11005Halter-Koch, F.; Narkiewicz, W. 5 2000 A characterization of derivations by functional equations. Zbl 0964.39023Halter-Koch, Franz 5 2000 Group algebras of finite abelian groups and their applications to combinatorial problems. Zbl 1200.05254Gao, Weidong; Geroldinger, Alfred; Halter-Koch, Franz 4 2009 Chebotarev formations and quantitative aspects of non-unique factorizations. Zbl 0762.11041Halter-Koch, Franz 4 1992 Factorisation of algebraic integers. Zbl 0506.12005Halter-Koch, Franz 4 1983 Eine Bemerkung über kubische Einheiten. Zbl 0352.12005Halter-Koch, Franz 4 1976 Remarks on the multiplicative structure of certain one-dimensional integral domains. Zbl 1047.13005Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian 4 2004 Polynomial cycles in finite extension fields. Zbl 1028.11014Halter-Koch, Franz; Konečná, Petra 4 2002 Finiteness properties of polynomial mappings. Zbl 0779.12002Halter-Koch, F.; Narkiewicz, W. 4 1992 Thue equations associated with Ankeny-Brauer-Chowla number fields. Zbl 0965.11009Halter-Koch, F.; Lettl, G.; Pethö, A.; Tichy, R. F. 4 1999 Eine allgemeine Geschlechtertheorie und ihre Anwendung auf Teilbarkeitsaussagen für Klassenzahlen algebraischer Zahlkörper. Zbl 0371.12008Halter-Koch, Franz 3 1978 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 0731.11063Halter-Koch, Franz 3 1991 The integral closure of a finitely generated monoid and the Frobenius problem in higher dimensions. Zbl 0818.20079Halter-Koch, Franz 3 1993 Über Radikalerweiterungen. (On radical extensions). Zbl 0441.12006Halter-Koch, Franz 3 1980 Ideal semigroups of noetherian domains and Ponizovski decompositions. Zbl 1114.13015Halter-Koch, Franz 3 2007 Type semigroups and factorization problems. (Typenhalbgruppen und Faktorisierungsprobleme.) Zbl 0769.11039Halter-Koch, Franz 3 1992 Über den 4-Rank der Klassengruppe quadratischer Zahlkörper. Zbl 0543.12004Halter-Koch, Franz 3 1984 On the quartic character of certain quadratic units and the representation of primes by binary quadratic forms. Zbl 0599.12003Halter-Koch, Franz 3 1986 Über Pell’sche Gleichungen und Kettenbrüche. (On Pell equations and continued fractions). Zbl 0631.10008Halter-Koch, Franz 3 1987 Tamely generated ideals in finitary monoids. Zbl 1066.20059Geroldinger, Alfred; Halter-Koch, Franz 3 2002 Weak module systems and applications: A multiplicative theory of integral elements and the Marot property. Zbl 1055.13004Halter-Koch, Franz 3 2003 Factorization problems in class number two. Zbl 0816.11053Halter-Koch, Franz 3 1993 Reell-quadratische Zahlkörper mit großer Grundeinheit. (Real- quadratic fields with large fundamental unit). Zbl 0718.11054Halter-Koch, F. 3 1989 A note on ray class fields of global fields. Zbl 0721.11051Halter-Koch, Franz 3 1990 On lengths of non-unique factorizations and systems of linear diophantine inequalities. (Über Längen nicht-eindeutiger Faktorisierungen und Systeme linearer diophantischer Ungleichungen.) Zbl 0797.20055Halter-Koch, F. 3 1993 A characterization of Krull rings with zero divisors. Zbl 0818.13011Halter-Koch, Franz 3 1993 Polynomial cycles and dynamical units. Zbl 0882.12003Halter-Koch, F.; Narkiewicz, W. 3 1996 Relative block semigroups and their arithmetical applications. Zbl 0769.11038Halter-Koch, Franz 3 1992 Polynomial cycles in finitely generated domains. Zbl 0840.13003Halter-Koch, F.; Narkiewicz, W. 3 1995 The tame degree and related invariants of non-unique factorizations. Zbl 1196.13005Halter-Koch, Franz 3 2008 Characterization of field homomorphisms by functional equations. Zbl 0991.39011Halter-Koch, Franz; Reich, Ludwig 3 2000 Die Struktur der Einheitengruppe für eine Klasse metazyklischer Erweiterungen algebraischer Zahlkörper. Zbl 0384.12003Halter-Koch, Franz 3 1978 Ein Satz über die Geschlechter relativ-zyklischer Zahlkörper von Primzahlgrad und seine Anwendung auf biquadratisch-bizyklische Körper. Zbl 0241.12004Halter-Koch, Franz 3 1972 Unabhängige Einheitensysteme für eine allgemeine Klasse algebraischer Zahlkörper. Zbl 0309.12005Halter-Koch, Franz 3 1975 Characterization of field homomorphisms by functional equations. II. Zbl 0991.39012Halter-Koch, Franz; Reich, Ludwig 3 2001 Körper, über denen alle algebraischen Erweiterungen der Kummer’schen Theorie genügen. Zbl 0437.12019Halter-Koch, Franz 2 1980 On products of additive functions. Zbl 0773.39006Halter-Koch, Franz; Reich, Ludwig; Schwaiger, Jens 2 1993 Some periodic continued fraction expansions and fundamental units of quadratic orders. (Einige periodische Kettenbruchentwicklungen und Grundeinheiten quadratischer Ordnungen.) Zbl 0764.11009Halter-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 0756.11030Halter-Koch, Franz; Kaplan, Pierre; Williams, Kenneth S.; Yamamoto, Yoshihiko 2 1991 Metrische Kennzeichnung von Erzeugenden für Einheitengruppen vom Rang 1 oder 2 in algebraischen Zahlkörpern. Zbl 0472.12002Brunotte, Horst; Halter-Koch, Franz 2 1981 Große Faktoren in der Klassengruppe algebraischer Zahlkörper. (Big factors in the class group of algebraic number fields). Zbl 0475.12007Halter-Koch, Franz 2 1981 Additive functions commuting with Möbius transformations and field monomorphisms. Zbl 0933.39050Halter-Koch, Franz; Reich, Ludwig 2 1999 Mixed invertibility and Prüfer-like monoids and domains. Zbl 1177.13009Halter-Koch, Franz 2 2009 Representation of primes by binary quadratic forms of discriminant \(- 256q\) and \(-128q\). Zbl 0783.11018Halter-Koch, Franz 2 1993 Commutative rings and binomial coefficients. Zbl 0764.12002Halter-Koch, F.; Narkiewicz, W. 2 1992 The class group of a commutative order. (Die Klassengruppe einer kommutativen Ordnung.) Zbl 0829.13008Halter-Koch, Franz 2 1994 Valuation monoids, defining systems, and approximation theorems. Zbl 0880.20047Halter-Koch, Franz 2 1997 Kriterien zum 8. Potenzcharakter der Reste 3, 5 und 7. Zbl 0208.06201Halter-Koch, Franz 2 1970 Class field theory and \(L\) functions. Foundations and main results. Zbl 07143137Halter-Koch, Franz 1 2022 An invitation to algebraic numbers and algebraic functions. Zbl 1477.11002Halter-Koch, Franz 2 2020 Associative power series. Zbl 1318.13035Halter-Koch, Franz 2 2015 Lorenzen monoids: a multiplicative approach to Kronecker function rings. Zbl 1311.13005Halter-Koch, Franz 1 2015 Arithmetical interpretation of weighted Davenport constants. Zbl 1307.20020Halter-Koch, Franz 9 2014 Principal ideals in quadratic orders, continued fractions and Diophantine equations. Zbl 1310.11109Halter-Koch, Franz 2 2014 Quadratic irrationals. An introduction to classical number theory. Zbl 1271.11001Halter-Koch, Franz 17 2013 Lucas sequences and quadratic orders. Zbl 1357.11017Halter-Koch, Franz 1 2013 Multiplicative ideal theory in the context of commutative monoids. Zbl 1225.13004Halter-Koch, Franz 6 2011 Characterization of Prüfer-like monoids and domains by GCD-theories. Zbl 1223.20052Halter-Koch, Franz 1 2011 Clifford semigroups of ideals in monoids and domains. Zbl 1189.13002Halter-Koch, Franz 28 2009 Group algebras of finite abelian groups and their applications to combinatorial problems. Zbl 1200.05254Gao, Weidong; Geroldinger, Alfred; Halter-Koch, Franz 4 2009 Mixed invertibility and Prüfer-like monoids and domains. Zbl 1177.13009Halter-Koch, Franz 2 2009 Non-unique factorizations of algebraic integers. Zbl 1217.11096Halter-Koch, Franz 7 2008 The tame degree and related invariants of non-unique factorizations. Zbl 1196.13005Halter-Koch, Franz 3 2008 Ideal semigroups of noetherian domains and Ponizovski decompositions. Zbl 1114.13015Halter-Koch, Franz 3 2007 Non-unique factorizations. Algebraic, combinatorial and analytic theory. Zbl 1113.11002Geroldinger, Alfred; Halter-Koch, Franz 286 2006 Non-unique factorizations: a survey. Zbl 1117.13004Geroldinger, Alfred; Halter-Koch, Franz 62 2006 C-monoids and congruence monoids in Krull domains. Zbl 1093.13016Halter-Koch, Franz 7 2005 Transfer principles in the theory of non-unique factorizations. Zbl 1087.13002Geroldinger, Alfred; Halter-Koch, Franz 6 2005 Congruence monoids. Zbl 1057.13003Geroldinger, Alfred; Halter-Koch, Franz 21 2004 Remarks on the multiplicative structure of certain one-dimensional integral domains. Zbl 1047.13005Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian 4 2004 Kronecker function rings and generalized integral closures. Zbl 1073.13507Halter-Koch, Franz 20 2003 Projective modules and divisor homomorphisms. Zbl 1058.16002Facchini, Alberto; Halter-Koch, Franz 15 2003 Finitary monoids. Zbl 1043.20033Geroldinger, Alfred; Halter-Koch, Franz; Hassler, Wolfgang; Kainrath, Florian 9 2003 Characterization of Prüfer multiplication monoids and domains by means of spectral module systems. Zbl 1058.20049Halter-Koch, Franz 5 2003 Weak module systems and applications: A multiplicative theory of integral elements and the Marot property. Zbl 1055.13004Halter-Koch, Franz 3 2003 Representation of prime powers in arithmetical progressions by binary quadratic forms. Zbl 1048.11030Halter-Koch, Franz 1 2003 Inside factorial monoids and integral domains. Zbl 1087.13510Chapman, Scott T.; Halter-Koch, Franz; Krause, Ulrich 15 2002 Polynomial cycles in finite extension fields. Zbl 1028.11014Halter-Koch, Franz; Konečná, Petra 4 2002 Tamely generated ideals in finitary monoids. Zbl 1066.20059Geroldinger, Alfred; Halter-Koch, Franz 3 2002 Localizing systems, module systems, and semistar operations. Zbl 1055.13003Halter-Koch, Franz 19 2001 Characterization of field homomorphisms by functional equations. II. Zbl 0991.39012Halter-Koch, Franz; Reich, Ludwig 3 2001 Characterization of field homomorphisms and derivations by functional equations. Zbl 0962.39013Halter-Koch, Franz 10 2000 Construction of ideal systems with nice Noetherian properties. Zbl 0988.13002Halter-Koch, Franz 6 2000 Scarcity of finite polynomial orbits. Zbl 0961.11005Halter-Koch, F.; Narkiewicz, W. 5 2000 A characterization of derivations by functional equations. Zbl 0964.39023Halter-Koch, Franz 5 2000 Characterization of field homomorphisms by functional equations. Zbl 0991.39011Halter-Koch, Franz; Reich, Ludwig 3 2000 Thue equations associated with Ankeny-Brauer-Chowla number fields. Zbl 0965.11009Halter-Koch, F.; Lettl, G.; Pethö, A.; Tichy, R. F. 4 1999 Additive functions commuting with Möbius transformations and field monomorphisms. Zbl 0933.39050Halter-Koch, Franz; Reich, Ludwig 2 1999 Ideal systems. An introduction to multiplicative ideal theory. Zbl 0953.13001Halter-Koch, Franz 159 1998 Characterization of higher order derivations by functional equations. (Charakterisierung von Derivationen höherer Ordnung mittels Funktionalgleichungen.) Zbl 1042.39012Halter-Koch, F.; Reich, L. 8 1998 Criteria for unique factorization in integral domains. Zbl 0949.13015Anderson, 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 0882.13027Halter-Koch, Franz 19 1997 Generalized integral closures. Zbl 1017.13003Halter-Koch, Franz 8 1997 Valuation monoids, defining systems, and approximation theorems. Zbl 0880.20047Halter-Koch, Franz 2 1997 Polynomial cycles and dynamical units. Zbl 0882.12003Halter-Koch, F.; Narkiewicz, W. 3 1996 On quasi divisor theories and systems of valuations. Zbl 0846.13002Geroldinger, Alfred; Halter-Koch, Franz 1 1996 Elasticity of factorizations in atomic monoids and integral domains. Zbl 0844.11068Halter-Koch, Franz 20 1995 Divisor theories with primary elements and weakly Krull domains. Zbl 0849.20041Halter-Koch, Franz 20 1995 Non-unique factorizations in orders of global fields. Zbl 0812.11061Geroldinger, Alfred; Halter-Koch, Franz; Kaczorowski, Jerzy 9 1995 On orthogonally exponential functions. Zbl 0821.39006Baron, K.; Halter-Koch, F.; Volkmann, P. 8 1995 The complete integral closure of monoids and domains. II. Zbl 0837.20073Geroldinger, A.; Halter-Koch, F.; Lettl, G. 6 1995 Polynomial cycles in finitely generated domains. Zbl 0840.13003Halter-Koch, F.; Narkiewicz, W. 3 1995 Arithmetical theory of monoid homomorphisms. Zbl 0805.20057Geroldinger, Alfred; Halter-Koch, Franz 15 1994 The class group of a commutative order. (Die Klassengruppe einer kommutativen Ordnung.) Zbl 0829.13008Halter-Koch, Franz 2 1994 Analytic number theory in formations based on additive arithmetical semigroups. Zbl 0805.11070Halter-Koch, Franz; Warlimont, Richard 1 1994 On the asymptotic behaviour of the number of distinct factorizations into irreducibles. Zbl 0792.11042Halter-Koch, Franz 9 1993 The integral closure of a finitely generated monoid and the Frobenius problem in higher dimensions. Zbl 0818.20079Halter-Koch, Franz 3 1993 Factorization problems in class number two. Zbl 0816.11053Halter-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 0797.20055Halter-Koch, F. 3 1993 A characterization of Krull rings with zero divisors. Zbl 0818.13011Halter-Koch, Franz 3 1993 On products of additive functions. Zbl 0773.39006Halter-Koch, Franz; Reich, Ludwig; Schwaiger, Jens 2 1993 Representation of primes by binary quadratic forms of discriminant \(- 256q\) and \(-128q\). Zbl 0783.11018Halter-Koch, Franz 2 1993 A theorem of Ramanujan concerning binary quadratic forms. Zbl 0784.11011Halter-Koch, Franz 1 1993 On products of additive functions (a third approach). Zbl 0777.12001Halter-Koch, Franz 1 1993 Finiteness theorems for factorizations. Zbl 0751.20046Halter-Koch, Franz 19 1992 A generalization of Davenport’s constant and its arithmetical applications. Zbl 0760.11031Halter-Koch, Franz 18 1992 Realization theorems for semigroups with divisor theory. Zbl 0751.20045Geroldinger, Alfred; Halter-Koch, Franz 13 1992 On the asymptotic behaviour of lengths of factorizations. Zbl 0751.20044Geroldinger, Alfred; Halter-Koch, Franz 12 1992 Non-unique factorizations in block semigroups and arithmetical applications. Zbl 0765.11045Geroldinger, A.; Halter-Koch, F. 11 1992 Chebotarev formations and quantitative aspects of non-unique factorizations. Zbl 0762.11041Halter-Koch, Franz 4 1992 Finiteness properties of polynomial mappings. Zbl 0779.12002Halter-Koch, F.; Narkiewicz, W. 4 1992 Type semigroups and factorization problems. (Typenhalbgruppen und Faktorisierungsprobleme.) Zbl 0769.11039Halter-Koch, Franz 3 1992 Relative block semigroups and their arithmetical applications. Zbl 0769.11038Halter-Koch, Franz 3 1992 Commutative rings and binomial coefficients. Zbl 0764.12002Halter-Koch, F.; Narkiewicz, W. 2 1992 Polynomial mappings defined by forms with a common factor. Zbl 0778.12002Halter-Koch, F.; Narkiewicz, W. 1 1992 An approximation theorem for semigroups with divisor theory. (Ein Approximationssatz für Halbgruppen mit Divisorentheorie.) Zbl 0742.20060Halter-Koch, Franz 14 1991 Arithmetical semigroups defined by congruences. Zbl 0734.20027Halter-Koch, Franz 7 1991 On the number and ideal theory of one-dimensional noetherian integral domains. (Zur Zahlen- und Idealtheorie eindimensionaler noetherscher Integritätsbereiche.) Zbl 0743.13001Halter-Koch, Franz 6 1991 Quantitative aspects of non-unique factorization: A general theory with applications to algebraic function fields. Zbl 0736.11064Halter-Koch, Franz; Müller, Wolfgang 5 1991 Continued fractions of given symmetric period. Zbl 0739.11001Halter-Koch, Franz 5 1991 Prime-producing quadratic polynomials and class numbers of quadratic orders. Zbl 0728.11049Halter-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 0731.11063Halter-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 0756.11030Halter-Koch, Franz; Kaplan, Pierre; Williams, Kenneth S.; Yamamoto, Yoshihiko 2 1991 On a class of insoluble binary quadratic Diophantine equations. Zbl 0745.11019Halter-Koch, Franz 1 1991 Halbgruppen mit Divisorentheorie. (Semigroups with divisor theory). Zbl 0698.20054Halter-Koch, Franz 24 1990 Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number). Zbl 0697.12007Halter-Koch, Franz 7 1990 A note on ray class fields of global fields. Zbl 0721.11051Halter-Koch, Franz 3 1990 Reell-quadratische Zahlkörper mit großer Grundeinheit. (Real- quadratic fields with large fundamental unit). Zbl 0718.11054Halter-Koch, F. 3 1989 Some periodic continued fraction expansions and fundamental units of quadratic orders. (Einige periodische Kettenbruchentwicklungen und Grundeinheiten quadratischer Ordnungen.) Zbl 0764.11009Halter-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 0705.11062Halter-Koch, Franz; Ishii, Noburo 1 1989 Über Pell’sche Gleichungen und Kettenbrüche. (On Pell equations and continued fractions). Zbl 0631.10008Halter-Koch, Franz 3 1987 On the quartic character of certain quadratic units and the representation of primes by binary quadratic forms. Zbl 0599.12003Halter-Koch, Franz 3 1986 Quadratische Einheiten als 8. Potenzreste. (Quadratic units as eighth power residues). Zbl 0617.12010Halter-Koch, Franz 1 1986 Konstruktion von Klassenkörpern und Potenzrestkriterien für quadratische Einheiten. Zbl 0586.12008Halter-Koch, Franz 1 1986 An Artin character and representations of primes by binary quadratic forms. III. Zbl 0568.12002Halter-Koch, Franz 1 1985 On the factorization of algebraic integers into irreducibles. Zbl 0541.12004Halter-Koch, F. 8 1984 Über den 4-Rank der Klassengruppe quadratischer Zahlkörper. Zbl 0543.12004Halter-Koch, Franz 3 1984 Teilbarkeitseigenschaften der iterierten Euler’schen phi-Funktion. Zbl 0532.10002Halter-Koch, Franz; Steindl, Werner 1 1984 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 551 Authors 65 Geroldinger, Alfred 43 Halter-Koch, Franz 35 Chapman, Scott Thomas 30 Gao, Weidong 29 Schmid, Wolfgang Alexander 27 Fontana, Marco 24 Zhong, Qinghai 21 Chang, Gyu Whan 21 Gotti, Felix 19 Grynkiewicz, David J. 17 Anderson, Daniel D. 17 Baeth, Nicholas R. 17 O’Neill, Christopher 15 Zafrullah, Muhammad 14 Li, Yuanlin 13 Anderson, David Fenimore 13 Facchini, Alberto 13 García Sánchez, Pedro A. 11 Han, Dongchun 11 Peng, Jiangtao 11 Qu, Yongke 11 Reinhart, Andreas 11 Smith, William W. 10 Hassler, Wolfgang 10 Ponomarenko, Vadim 10 Zeng, Xiangneng 9 Mollin, Richard Anthony 9 Picozza, Giampaolo 9 Yuan, Pingzhi 8 Dumitrescu, Tiberiu 8 El Baghdadi, Said 8 Finocchiaro, Carmelo Antonio 8 Kim, Hwankoo 8 Smertnig, Daniel 8 Tringali, Salvatore 8 Zhang, Hanbin 7 Adhikari, Sukumar Das 7 Cziszter, Kálmán 7 Domokos, Mátyás 7 Fan, Yushuang 7 García García, Juan Ignacio 7 Gotti, Marly 7 Juett, Jason Robert 7 Mimouni, Abdeslam 7 Philipp, Andreas 7 Wang, Guoqing 6 Coykendall, James 6 Frisch, Sophie 6 Girard, Benjamin 6 Hui, Wanzhen 6 Liu, Chao 6 Narkiewicz, Władysław 6 Oh, Jun-Seok 6 Ordaz, Oscar 6 Rosales, José Carlos 6 Schertz, Reinhard 6 Tomita, Koshi 5 Baginski, Paul 5 Brzdęk, Janusz 5 Deng, Guixin 5 Ebanks, Bruce R. 5 Gabelli, Stefania 5 Kaczorowski, Jerzy 5 Kainrath, Florian 5 Kawamoto, Fuminori 5 Lim, Jung Wook 5 Loper, Kenneth Alan 5 Mahdou, Najib 5 Olberding, Bruce M. 5 Park, Mi Hee 5 Pelayo, Roberto Carlos 5 Plagne, Alain 5 Spirito, Dario 4 Phạm Ngọc Ánh 4 Chintamani, Mohan N. 4 Hong, Siao 4 Kontolatou, Angeliki 4 Krause, Ulrich 4 Li, Xue 4 Llena, David 4 Marchan, Luz Elimar 4 Močkoř, Jiří 4 Moreno-Frías, Maria Angeles 4 Nakato, Sarah 4 Oh, Dong Yeol 4 Polo, Harold 4 Radziejewski, Maciej 4 Sahandi, Parviz 4 Schaeffer, George J. 4 Sikorska, Justyna 4 Thangadurai, Ravindranathan 4 Williams, Hugh Cowie 4 Windisch, Daniel 4 Yin, Qiuyu 3 Ara, Pere 3 Blanco, Víctor 3 Brunotte, Horst 3 Fadinger, Victor 3 Freeze, Michael 3 Garcia, Stephan Ramon ...and 451 more Authors all top 5 Cited in 141 Serials 76 Communications in Algebra 58 Journal of Algebra 53 Journal of Number Theory 38 Journal of Pure and Applied Algebra 33 Semigroup Forum 21 Journal of Algebra and its Applications 16 International Journal of Number Theory 13 Archiv der Mathematik 13 Journal of Combinatorial Theory. 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Deuxième Série 2 Designs, Codes and Cryptography 2 Elemente der Mathematik 2 Experimental Mathematics 2 Algebra Colloquium 2 The New York Journal of Mathematics 2 Algebras and Representation Theory 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 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 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 ...and 41 more Serials all top 5 Cited in 35 Fields 416 Number theory (11-XX) 337 Commutative algebra (13-XX) 319 Group theory and generalizations (20-XX) 61 Associative rings and algebras (16-XX) 29 Combinatorics (05-XX) 26 Order, lattices, ordered algebraic structures (06-XX) 22 Difference and functional equations (39-XX) 18 Algebraic geometry (14-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 10 Field theory and polynomials (12-XX) 8 Computer science (68-XX) 7 \(K\)-theory (19-XX) 7 Functional analysis (46-XX) 6 Category theory; homological algebra (18-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Convex and discrete geometry (52-XX) 4 Information and communication theory, circuits (94-XX) 3 Topological groups, Lie groups (22-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Functions of a complex variable (30-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-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 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year