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Author ID: girstmair.kurt Recent zbMATH articles by "Girstmair, Kurt"
Published as: Girstmair, Kurt; Girstmair, K.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

64 Publications have been cited 229 times in 148 Documents Cited by Year
On the computation of resolvents and Galois groups. Zbl 0525.12019
Girstmair, Kurt
13
1983
Dedekind sums with predictable signs. Zbl 0941.11017
Girstmair, Kurt
11
1998
Zones of large and small values for Dedekind sums. Zbl 1041.11030
Girstmair, Kurt
11
2003
Linear dependence of zeros of polynomials and construction of primitive elements. Zbl 0514.12010
Girstmair, Kurt
10
1982
On an irreducibility criterion of M. Ram Murty. Zbl 1077.11017
Girstmair, Kurt
10
2005
On invariant polynomials and their application in field theory. Zbl 0637.12012
Girstmair, Kurt
9
1987
The relative class numbers of imaginary cyclic fields of degrees 4, 6, 8, and 10. Zbl 0787.11046
Girstmair, Kurt
8
1993
A criterion for the equality of Dedekind sums mod \(\mathbb Z\). Zbl 1286.11057
Girstmair, Kurt
8
2014
An index formula for the relative class number of an abelian number field. Zbl 0675.12002
Girstmair, Kurt
7
1989
Linear relations between roots of polynomials. Zbl 0924.12002
Girstmair, Kurt
7
1999
On the arithmetic mean of Dedekind sums. Zbl 1080.11035
Girstmair, Kurt; Schoißengeier, Johannes
6
2005
Character coordinates and annihilators of cyclotomic numbers. Zbl 0624.12006
Girstmair, Kurt
6
1987
An algorithm for the construction of a normal basis. Zbl 0954.11035
Girstmair, Kurt
5
1999
Periodic decimal fractions – what not everyone knows about. (Periodische Dezimalbrüche – was nicht jeder darüber weiß.) Zbl 0832.11004
Girstmair, Kurt
5
1995
The digits of \(1/p\) in connection with class number factors. Zbl 0827.11004
Girstmair, Kurt
5
1994
Letter to the editor. Zbl 0585.10021
Girstmair, Kurt
5
1986
On the fractional parts of Dedekind sums. Zbl 1310.11049
Girstmair, Kurt
5
2015
A “popular” class number formula. Zbl 0839.11049
Girstmair, Kurt
4
1994
Class number factors and distribution of residues. Zbl 0889.11032
Girstmair, K.
4
1997
Specht modules and resolvents of algebraic equations. Zbl 0729.12002
Girstmair, Kurt
4
1991
Über konstruktive Methoden der Galoistheorie. Zbl 0408.12024
Girstmair, Kurt
4
1979
On the cosets of the \(2q\)-power group in the unit group modulo \(p\). Zbl 0779.11052
Girstmair, K.
4
1992
Approximation of rational numbers by Dedekind sums. Zbl 1296.11027
Girstmair, Kurt
4
2014
On the values of Dedekind sums. Zbl 1406.11038
Girstmair, Kurt
4
2017
Ein v. Staudt-Clausenscher Satz für periodische Bernoullizahlen. (A theorem of von Staudt-Clausen type for periodic Bernoulli numbers). Zbl 0626.12001
Girstmair, Kurt
3
1987
Some remarks on Rademacher’s three-term relation. Zbl 0934.11019
Girstmair, Kurt
3
1999
Continued fractions and Jacobi symbols. Zbl 1237.11003
Girstmair, Kurt
3
2011
Continued fractions and Dedekind sums: three-term relations and distribution. Zbl 1225.11054
Girstmair, Kurt
3
2006
The Piltz divisor problem in number fields: an improved lower bound by Soundararajan’s method. Zbl 1079.11047
Girstmair, K.; Kühleitner, M.; Müller, W.; Nowak, W. G.
3
2005
A theorem on the numerators of the Bernoulli numbers. Zbl 0738.11023
Girstmair, Kurt
3
1990
On root polynomials of cyclic cubic equations. Zbl 0442.12004
Girstmair, Kurt
3
1981
On the \(l\)-divisibility of the relative class number of certain cyclic number fields. Zbl 0773.11068
Girstmair, Kurt
3
1993
On Dedekind sums with equal values. Zbl 1338.11051
Girstmair, Kurt
3
2016
Über die praktische Auflösung von Gleichungen höheren Grades. (On the solution of higher degree equations in practice). Zbl 0633.12011
Girstmair, Kurt
2
1987
Periodic continued fractions and Jacobi symbols. Zbl 1272.11017
Girstmair, Kurt
2
2012
Dedekind sums with small denominators. Zbl 1272.11056
Girstmair, Kurt
2
2012
Dedekind sums in the \(p\)-adic number field. Zbl 1420.11074
Girstmair, Kurt
2
2018
A remark on normal bases. Zbl 0874.11072
Girstmair, Kurt
2
1996
Dedekind sums take each value infinitely many times. Zbl 1422.11089
Girstmair, Kurt
2
2018
The Galois relation \(x_1=x_2+x_3\) and Fermat over finite fields. Zbl 1168.12001
Girstmair, Kurt
2
2006
Dirichlet convolution of cotangent numbers and relative class number formulas. Zbl 0717.11048
Girstmair, Kurt
2
1990
The largest values of Dedekind sums. Zbl 1426.11040
Girstmair, Kurt
2
2017
Towards a completion of Archimedes’ treatise on floating bodies. Zbl 1213.01008
Girstmair, Kurt; Kirchner, Gerhard
2
2008
Reducing radicals in the spirit of Euclid. Zbl 1462.12001
Girstmair, Kurt
2
2021
On the distribution of Dedekind sums. Zbl 1413.11123
Girstmair, Kurt
2
2018
The Galois relation \(x_1=x_2+x_3\) for finite simple groups. Zbl 1117.12002
Girstmair, Kurt
1
2007
Triple product identities for the Jacobi symbol. Zbl 0982.11001
Girstmair, Kurt
1
2001
Dedekind sums in the vicinity of quadratic irrationals. Zbl 1269.11043
Girstmair, Kurt
1
2012
Hippocrates’ lunes and transcendence. Zbl 1045.11050
Girstmair, Kurt
1
2003
Ein Verfahren zur konstruktiven Bestimmung von Galoisgruppen. Zbl 0333.12103
Girstmair, Kurt; Oberst, Ulrich
1
1976
On invariant relations between zeros of polynomials. Zbl 1076.12005
Girstmair, Kurt; Pauer, Franz; Wibmer, Michael
1
2005
On the trace of the ring of integers of an abelian number field. Zbl 0739.11051
Girstmair, Kurt
1
1992
A recursion formula for the relative class number of the \(p^ n\)-th cyclotomic field. Zbl 0747.11046
Girstmair, K.
1
1991
On quadratic relations between roots of polynomials. Zbl 0887.12001
Girstmair, Kurt
1
1997
Some linear relations between values of trigonometric functions at \(\kappa\pi\setminus n\). Zbl 0960.11048
Girstmair, Kurt
1
1997
Elementare Berechnung von kubischen Diskriminanten. Zbl 0401.12003
Girstmair, Kurt
1
1979
Connection between the arithmetic properties of generalized Bernoulli numbers. (Eine Verbindung zwischen den arithmetischen Eigenschaften verallgemeinerter Bernoullizahlen.) Zbl 0773.11013
Girstmair, Kurt
1
1993
On the asymptotic behavior of Dedekind sums. Zbl 1295.11037
Girstmair, Kurt
1
2014
Jacobi symbols and Eulers number \(e\). Zbl 1385.11005
Girstmair, Kurt
1
2014
Frequencies of continued fractions and transcendents numbers. (Häufigkeiten bei Kettenbrüchen und transzendente Zahlen.) Zbl 1423.11023
Girstmair, Kurt
1
2016
Dedekind sums and uniform distributions. Zbl 1075.11026
Dilcher, Karl; Girstmair, Kurt
1
2002
Chebyshev polynomials and Galois groups of de Moivre polynomials. Zbl 1500.11078
Girstmair, Kurt
1
2022
A complexity trichotomy for \(k\)-regular asymmetric spin systems using number theory. Zbl 1462.68078
Cai, Jin-Yi; Fu, Zhiguo; Girstmair, Kurt; Kowalczyk, Michael
1
2018
Inversion of two cyclotomic matrices. Zbl 1470.11047
Girstmair, Kurt
1
2019
Chebyshev polynomials and Galois groups of de Moivre polynomials. Zbl 1500.11078
Girstmair, Kurt
1
2022
Reducing radicals in the spirit of Euclid. Zbl 1462.12001
Girstmair, Kurt
2
2021
Inversion of two cyclotomic matrices. Zbl 1470.11047
Girstmair, Kurt
1
2019
Dedekind sums in the \(p\)-adic number field. Zbl 1420.11074
Girstmair, Kurt
2
2018
Dedekind sums take each value infinitely many times. Zbl 1422.11089
Girstmair, Kurt
2
2018
On the distribution of Dedekind sums. Zbl 1413.11123
Girstmair, Kurt
2
2018
A complexity trichotomy for \(k\)-regular asymmetric spin systems using number theory. Zbl 1462.68078
Cai, Jin-Yi; Fu, Zhiguo; Girstmair, Kurt; Kowalczyk, Michael
1
2018
On the values of Dedekind sums. Zbl 1406.11038
Girstmair, Kurt
4
2017
The largest values of Dedekind sums. Zbl 1426.11040
Girstmair, Kurt
2
2017
On Dedekind sums with equal values. Zbl 1338.11051
Girstmair, Kurt
3
2016
Frequencies of continued fractions and transcendents numbers. (Häufigkeiten bei Kettenbrüchen und transzendente Zahlen.) Zbl 1423.11023
Girstmair, Kurt
1
2016
On the fractional parts of Dedekind sums. Zbl 1310.11049
Girstmair, Kurt
5
2015
A criterion for the equality of Dedekind sums mod \(\mathbb Z\). Zbl 1286.11057
Girstmair, Kurt
8
2014
Approximation of rational numbers by Dedekind sums. Zbl 1296.11027
Girstmair, Kurt
4
2014
On the asymptotic behavior of Dedekind sums. Zbl 1295.11037
Girstmair, Kurt
1
2014
Jacobi symbols and Eulers number \(e\). Zbl 1385.11005
Girstmair, Kurt
1
2014
Periodic continued fractions and Jacobi symbols. Zbl 1272.11017
Girstmair, Kurt
2
2012
Dedekind sums with small denominators. Zbl 1272.11056
Girstmair, Kurt
2
2012
Dedekind sums in the vicinity of quadratic irrationals. Zbl 1269.11043
Girstmair, Kurt
1
2012
Continued fractions and Jacobi symbols. Zbl 1237.11003
Girstmair, Kurt
3
2011
Towards a completion of Archimedes’ treatise on floating bodies. Zbl 1213.01008
Girstmair, Kurt; Kirchner, Gerhard
2
2008
The Galois relation \(x_1=x_2+x_3\) for finite simple groups. Zbl 1117.12002
Girstmair, Kurt
1
2007
Continued fractions and Dedekind sums: three-term relations and distribution. Zbl 1225.11054
Girstmair, Kurt
3
2006
The Galois relation \(x_1=x_2+x_3\) and Fermat over finite fields. Zbl 1168.12001
Girstmair, Kurt
2
2006
On an irreducibility criterion of M. Ram Murty. Zbl 1077.11017
Girstmair, Kurt
10
2005
On the arithmetic mean of Dedekind sums. Zbl 1080.11035
Girstmair, Kurt; Schoißengeier, Johannes
6
2005
The Piltz divisor problem in number fields: an improved lower bound by Soundararajan’s method. Zbl 1079.11047
Girstmair, K.; Kühleitner, M.; Müller, W.; Nowak, W. G.
3
2005
On invariant relations between zeros of polynomials. Zbl 1076.12005
Girstmair, Kurt; Pauer, Franz; Wibmer, Michael
1
2005
Zones of large and small values for Dedekind sums. Zbl 1041.11030
Girstmair, Kurt
11
2003
Hippocrates’ lunes and transcendence. Zbl 1045.11050
Girstmair, Kurt
1
2003
Dedekind sums and uniform distributions. Zbl 1075.11026
Dilcher, Karl; Girstmair, Kurt
1
2002
Triple product identities for the Jacobi symbol. Zbl 0982.11001
Girstmair, Kurt
1
2001
Linear relations between roots of polynomials. Zbl 0924.12002
Girstmair, Kurt
7
1999
An algorithm for the construction of a normal basis. Zbl 0954.11035
Girstmair, Kurt
5
1999
Some remarks on Rademacher’s three-term relation. Zbl 0934.11019
Girstmair, Kurt
3
1999
Dedekind sums with predictable signs. Zbl 0941.11017
Girstmair, Kurt
11
1998
Class number factors and distribution of residues. Zbl 0889.11032
Girstmair, K.
4
1997
On quadratic relations between roots of polynomials. Zbl 0887.12001
Girstmair, Kurt
1
1997
Some linear relations between values of trigonometric functions at \(\kappa\pi\setminus n\). Zbl 0960.11048
Girstmair, Kurt
1
1997
A remark on normal bases. Zbl 0874.11072
Girstmair, Kurt
2
1996
Periodic decimal fractions – what not everyone knows about. (Periodische Dezimalbrüche – was nicht jeder darüber weiß.) Zbl 0832.11004
Girstmair, Kurt
5
1995
The digits of \(1/p\) in connection with class number factors. Zbl 0827.11004
Girstmair, Kurt
5
1994
A “popular” class number formula. Zbl 0839.11049
Girstmair, Kurt
4
1994
The relative class numbers of imaginary cyclic fields of degrees 4, 6, 8, and 10. Zbl 0787.11046
Girstmair, Kurt
8
1993
On the \(l\)-divisibility of the relative class number of certain cyclic number fields. Zbl 0773.11068
Girstmair, Kurt
3
1993
Connection between the arithmetic properties of generalized Bernoulli numbers. (Eine Verbindung zwischen den arithmetischen Eigenschaften verallgemeinerter Bernoullizahlen.) Zbl 0773.11013
Girstmair, Kurt
1
1993
On the cosets of the \(2q\)-power group in the unit group modulo \(p\). Zbl 0779.11052
Girstmair, K.
4
1992
On the trace of the ring of integers of an abelian number field. Zbl 0739.11051
Girstmair, Kurt
1
1992
Specht modules and resolvents of algebraic equations. Zbl 0729.12002
Girstmair, Kurt
4
1991
A recursion formula for the relative class number of the \(p^ n\)-th cyclotomic field. Zbl 0747.11046
Girstmair, K.
1
1991
A theorem on the numerators of the Bernoulli numbers. Zbl 0738.11023
Girstmair, Kurt
3
1990
Dirichlet convolution of cotangent numbers and relative class number formulas. Zbl 0717.11048
Girstmair, Kurt
2
1990
An index formula for the relative class number of an abelian number field. Zbl 0675.12002
Girstmair, Kurt
7
1989
On invariant polynomials and their application in field theory. Zbl 0637.12012
Girstmair, Kurt
9
1987
Character coordinates and annihilators of cyclotomic numbers. Zbl 0624.12006
Girstmair, Kurt
6
1987
Ein v. Staudt-Clausenscher Satz für periodische Bernoullizahlen. (A theorem of von Staudt-Clausen type for periodic Bernoulli numbers). Zbl 0626.12001
Girstmair, Kurt
3
1987
Über die praktische Auflösung von Gleichungen höheren Grades. (On the solution of higher degree equations in practice). Zbl 0633.12011
Girstmair, Kurt
2
1987
Letter to the editor. Zbl 0585.10021
Girstmair, Kurt
5
1986
On the computation of resolvents and Galois groups. Zbl 0525.12019
Girstmair, Kurt
13
1983
Linear dependence of zeros of polynomials and construction of primitive elements. Zbl 0514.12010
Girstmair, Kurt
10
1982
On root polynomials of cyclic cubic equations. Zbl 0442.12004
Girstmair, Kurt
3
1981
Über konstruktive Methoden der Galoistheorie. Zbl 0408.12024
Girstmair, Kurt
4
1979
Elementare Berechnung von kubischen Diskriminanten. Zbl 0401.12003
Girstmair, Kurt
1
1979
Ein Verfahren zur konstruktiven Bestimmung von Galoisgruppen. Zbl 0333.12103
Girstmair, Kurt; Oberst, Ulrich
1
1976
all top 5

Cited by 160 Authors

40 Girstmair, Kurt
4 Bonciocat, Nicolae Ciprian
3 Bley, Werner
3 Dubickas, Artūras
3 Hamahata, Yoshinori
3 Hirabayashi, Mikihito
3 Hoshi, Akinari
3 Jakhar, Anuj
3 Klüners, Jürgen
3 Zaharescu, Alexandru
2 Ahn, Jaehyun
2 Beck, Matthias
2 Bharadwaj, Abhishek T.
2 Cai, Jin-Yi
2 Endo, Akira
2 Fu, Zhiguo
2 Gun, Sanoli
2 Jamshidpey, Armin
2 Jankauskas, Jonas
2 Johnston, Henri L. A.
2 Jung, Hwanyup
2 Kandhil, Neelam
2 Kanemitsu, Shigeru
2 Kowalczyk, Michael
2 Kumar, Sanjeev
2 Lalande, Franck
2 Schost, Éric
2 Singh, Jitender
2 Urzúa, Giancarlo
2 Wibmer, Michael
1 Abdeljaouad, Ines
1 Alkan, Emre
1 Allouche, Jean-Paul Simon
1 Atkin, Arthur Oliver Lonsdale
1 Awtrey, Chad
1 Bae, Sunghan
1 Banks, William David
1 Bayad, Abdelmejid
1 Bayarmagnai, Gombodorj
1 Berkopec, Nicolas
1 Beuerle, James R.
1 Bonciocat, Anca Iuliana
1 Bonciocat, Ciprian Mircea
1 Branch, Jacob
1 Breuning, Manuel
1 Bruen, Aiden A.
1 Bugeaud, Yann
1 Can, Mumun
1 Chakraborty, Kalyan
1 Chen, Yiwang
1 Cho, Ilwoo
1 Cipu, Mihai
1 Colin, Antoine
1 Constantinescu, Petru
1 Dağli, Muhammet Cihat
1 Das, Mithun Kumar
1 De Souza, Vera H. G.
1 Dilcher, Karl
1 Doris, Christopher
1 Drungilas, Paulius
1 Ducos, Lionel
1 Dunn, Nicholas
1 Eischen, Ellen Elizabeth
1 Elsenhans, Andreas-Stephan
1 Fieker, Claus
1 Fomenko, Oleg Mstislavovich
1 Francescutto, Alberto
1 Galvão, Maria Elisa Esteves Lopes
1 Ganbat, Batmunkh
1 Ge, Fan
1 Geissler, Katharina
1 Geroldinger, Angelika
1 Giesbrecht, Mark W.
1 Goldmakher, Leo
1 Göral, Haydar
1 Goubi, Mouloud
1 Griesbach, Hanna Noelle
1 Guo, Xuejun
1 Haase, Christian Alexander
1 Hagedorn, Thomas R.
1 Han, Di
1 Hardt, Will
1 Hashimoto, Masahiro
1 Heikkinen, Rachel
1 Hernane, Mohand-Ouamar
1 Hewett, Campbell
1 Hofmann, Tommy
1 Jejjala, Vishnu
1 Jensen, Christian Ulrik
1 Jørgensen, Palle E. T.
1 Juyal, Abhishek
1 Kanasri, Narakorn Rompurk
1 Kohnen, Winfried
1 Krishnamoorthy, Krishnarjun
1 Kučera, Radan
1 Kural, Michael
1 Kuz’min, Leonid Viktorovich
1 Kuzumaki, Takako
1 Laohakosol, Vichian
1 Lau, Yuk-Kam
...and 60 more Authors
all top 5

Cited in 59 Serials

20 Journal of Number Theory
17 International Journal of Number Theory
10 Monatshefte für Mathematik
8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Manuscripta Mathematica
4 Communications in Algebra
4 Journal of Algebra
4 Journal of Symbolic Computation
4 Journal de Théorie des Nombres de Bordeaux
3 Mathematics of Computation
3 Journal of Pure and Applied Algebra
3 Proceedings of the American Mathematical Society
3 Journal of Algebra and its Applications
2 American Mathematical Monthly
2 Acta Arithmetica
2 Functiones et Approximatio. Commentarii Mathematici
2 Mathematische Annalen
2 Pacific Journal of Mathematics
2 Proceedings of the Japan Academy. Series A
2 Journal of the Ramanujan Mathematical Society
2 Expositiones Mathematicae
2 Computational Complexity
2 The Ramanujan Journal
2 Algebra & Number Theory
1 Bulletin of the Australian Mathematical Society
1 Rocky Mountain Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Illinois Journal of Mathematics
1 Journal of Soviet Mathematics
1 Kyungpook Mathematical Journal
1 Nagoya Mathematical Journal
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 Bulletin of the Korean Mathematical Society
1 Acta Mathematica Hungarica
1 Linear Algebra and its Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Indagationes Mathematicae. New Series
1 Experimental Mathematics
1 Journal of Algebraic Geometry
1 Journal of Mathematical Sciences (New York)
1 Annales Mathématiques Blaise Pascal
1 Bulletin des Sciences Mathématiques
1 Opuscula Mathematica
1 Journal of Integer Sequences
1 LMS Journal of Computation and Mathematics
1 RAIRO. Theoretical Informatics and Applications
1 Journal of High Energy Physics
1 Integers
1 Missouri Journal of Mathematical Sciences
1 Revista Brasileira de História da Matemática
1 Science China. Mathematics
1 Communications in Mathematics
1 Research in Number Theory

Citations by Year