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Krätzel, Ekkehard

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Author ID: kratzel.ekkehard Recent zbMATH articles by "Krätzel, Ekkehard"
Published as: Kraetzel, E.; Kraetzel, Ekkehard; Krätzel, E.; Krätzel, Ekkehard
Documents Indexed: 78 Publications since 1962, including 5 Books

Publications by Year

Citations contained in zbMATH Open

55 Publications have been cited 312 times in 188 Documents Cited by Year
Lattice points. Zbl 0675.10031
Krätzel, Ekkehard
77
1988
Lattice points in large regions and related arithmetic functions: recent developments in a very classic topic. Zbl 1177.11084
Ivić, A.; Krätzel, E.; Kühleitner, M.; Nowak, W. G.
29
2006
Remarks on a lattice point problem. Zbl 0165.36303
Krätzel, Ekkehard
13
1969
Ein Teilerproblem. Zbl 0172.05702
Krätzel, E.
12
1969
Analytic functions in number theory. Zbl 0962.11001
Krätzel, Ekkehard
11
2000
On the average number of direct factors of a finite abelian group. Zbl 0633.10044
Krätzel, Ekkehard
9
1988
Integral transformations of Bessel-type. Zbl 0403.44003
Krätzel, E.
9
1979
Die maximale Ordnung der Anzahl der wesentlich verschiedenen Abelschen Gruppen \(n\)-ter Ordnung. Zbl 0206.03402
Krätzel, E.
9
1970
Lattice points in some special three-dimensional convex bodies with points of Gaussian curvature zero at the boundary. Zbl 1064.11064
Krätzel, Ekkehard
8
2002
Estimates in the general divisor problem. Zbl 0776.11057
Krätzel, Ekkehard
8
1992
Eine Verallgemeinerung der Laplace- und Meijer-Transformation. Zbl 0168.10204
Krätzel, Ekkehard
8
1965
The lattice discrepancy of bodies bounded by a rotating Lamé’s curve. Zbl 1253.11092
Krätzel, Ekkehard; Nowak, Werner Georg
7
2008
Lattice points in three-dimensional convex bodies with points of Gaussian curvature zero at the boundary. Zbl 1016.11045
Krätzel, Ekkehard
7
2002
Lattice points in three-dimensional convex bodies. Zbl 0997.11079
Krätzel, Ekkehard
6
2000
Lattice points in large convex bodies. II. Zbl 0769.11037
Krätzel, Ekkehard; Nowak, Werner Georg
5
1992
Lattice points in large convex bodies. Zbl 0754.11027
Krätzel, Ekkehard; Nowak, Werner Georg
5
1991
Bemerkungen zur Meijer-Transformation und Anwendungen. Zbl 0168.10203
Krätzel, E.
5
1965
Die Faltung der L-Transformation. Zbl 0142.39601
Krätzel, Ekkehard
5
1965
The lattice discrepancy of certain three-dimensional bodies. Zbl 1258.11087
Krätzel, Ekkehard; Nowak, Werner Georg
4
2011
Divisor problems and powerful numbers. Zbl 0545.10030
Krätzel, Ekkehard
4
1983
Mittlere Darstellungen natürlicher Zahlen als Summe von n k-ten Potenzen. Zbl 0254.10037
Krätzel, Ekkehard
4
1973
Zahlen k-ter Art. Zbl 0243.10037
Krätzel, Ekkehard
4
1972
Eine Verallgemeinerung des Kreisproblems. Zbl 0204.06701
Krätzel, E.
4
1967
Differentiationssätze der \({\mathcal L}\)-Transformation und Differentialgleichungen nach dem Operator \((d/dt) t^{1/n-\nu} (t^{1- 1/n} (d/dt))^{n-1} t^{\nu+1-2/n}\). Zbl 0168.10301
Krätzel, E.
4
1967
Lattice points in planar convex domains. Zbl 1071.11057
Krätzel, Ekkehard
3
2004
On the distribution of square-full and cube-full numbers. Zbl 0838.11059
Krätzel, Ekkehard
3
1995
Primitive lattice points in special plane domains and a related three- dimensional lattice point problem. I. Zbl 0622.10036
Krätzel, Ekkehard
3
1987
Die Werteverteilung der Anzahl der nicht-isomorphen Abelschen Gruppen endlicher Ordnung in kurzen Intervallen. Zbl 0459.10030
Krätzel, Ekkehard
3
1980
Zahlentheorie. Zbl 0331.12001
Koch, H.; Krätzel, E.; Neumann, O.
3
1974
Teilerprobleme in drei Dimensionen. Zbl 0201.05101
Krätzel, E.
3
1969
Übertragung der Post-Widderschen Umkehrformel der Laplace- Transformation auf die L-Transformation. Zbl 0157.19602
Krätzel, E.
3
1967
Höhere Thetafunktionen. I., II. Zbl 0142.34002
Krätzel, E.
3
1965
New estimates in the four-dimensional divisor problem with applications. Zbl 1224.11082
Krätzel, E.
2
2010
An explicit estimate for the lattice point discrepancy of ellipsoids of rotation. Zbl 1173.11053
Krätzel, Ekkehard; Nowak, Werner Georg
2
2007
Effective estimates for the lattice point discrepancy of certain planar and three-dimensional domains. Zbl 1197.11135
Krätzel, Ekkehard; Nowak, Werner Georg
2
2005
Lattice points in super spheres. Zbl 0993.11050
Krätzel, E.
2
1999
Die Werteverteilung der Anzahl der nicht-isomorphen Abelschen Gruppen endlicher Ordnung und ein verwandtes zahlentheoretisches Problem. Zbl 0518.10051
Kraetzel, Ekkehard
2
1982
Zahlentheorie. Zbl 0488.10001
Kraetzel, E.
2
1981
Mittlere Darstellungen natürlicher Zahlen als Differenz zweier \(k\)-ter Potenzen. Zbl 0201.05003
Krätzel, E.
2
1969
Identitäten für die Anzahl der Gitterpunkte in bestimmten Bereichen. Zbl 0155.09402
Krätzel, E.
2
1968
On certain arithmetic functions involving the greatest common divisor. Zbl 1285.11120
Krätzel, Ekkehard; Nowak, Werner Georg; Tóth, László
1
2012
The four-dimensional divisor problem. Zbl 1247.11121
Krätzel, Ekkehard
1
2008
The distribution of values of the enumerating function of finite, non-isomorphic Abelian groups in short intervals. Zbl 1162.11048
Krätzel, Ekkehard
1
2008
Primitive lattice points in a thin strip along the boundary of a large convex planar domain. Zbl 0984.11047
Krätzel, Ekkehard; Nowak, Werner Georg
1
2001
Double exponential sums. Zbl 0857.11042
Krätzel, Ekkehard
1
1996
On the number of Abelian groups of given order. Zbl 0810.11056
Krätzel, Ekkehard; Wolke, Dieter
1
1994
The distribution of powerful integers of type 4. Zbl 0646.10034
Krätzel, Ekkehard
1
1989
Zweifache Exponentialsummen und dreidimensionale Gitterpunktprobleme. (Double exponential sums and three-dimensional lattice point problems). Zbl 0595.10035
Krätzel, Ekkehard
1
1985
\(\Omega\)-estimates for the number of lattice points in \(n\)-dimensional domains. Zbl 0544.10052
Krätzel, E.
1
1984
Squarefree numbers as sums of two squares. Zbl 0507.10038
Kraetzel, Ekkehard
1
1982
Zweidimensionale Todesprozesse in stetiger Zeit. Zbl 0403.60078
Krätzel, Ekkehard
1
1978
Asymptotische Entwicklung von Funktionen und asymptotische Lösungen von Funktionalgleichungen in mehreren Veränderlichen. Zbl 0297.41020
Krätzel, Ekkehard
1
1977
Zur Frage der Produktentwicklung höherer Thetafunktionen. Zbl 0292.33011
Krätzel, Ekkehard
1
1976
Verallgemeinerte Hankel-Funktionen. Zbl 0247.33014
Krätzel, Ekkehard; Menzer, Hartmut
1
1971
A lattice point problem. Zbl 0131.29004
Krätzel, E.
1
1964
On certain arithmetic functions involving the greatest common divisor. Zbl 1285.11120
Krätzel, Ekkehard; Nowak, Werner Georg; Tóth, László
1
2012
The lattice discrepancy of certain three-dimensional bodies. Zbl 1258.11087
Krätzel, Ekkehard; Nowak, Werner Georg
4
2011
New estimates in the four-dimensional divisor problem with applications. Zbl 1224.11082
Krätzel, E.
2
2010
The lattice discrepancy of bodies bounded by a rotating Lamé’s curve. Zbl 1253.11092
Krätzel, Ekkehard; Nowak, Werner Georg
7
2008
The four-dimensional divisor problem. Zbl 1247.11121
Krätzel, Ekkehard
1
2008
The distribution of values of the enumerating function of finite, non-isomorphic Abelian groups in short intervals. Zbl 1162.11048
Krätzel, Ekkehard
1
2008
An explicit estimate for the lattice point discrepancy of ellipsoids of rotation. Zbl 1173.11053
Krätzel, Ekkehard; Nowak, Werner Georg
2
2007
Lattice points in large regions and related arithmetic functions: recent developments in a very classic topic. Zbl 1177.11084
Ivić, A.; Krätzel, E.; Kühleitner, M.; Nowak, W. G.
29
2006
Effective estimates for the lattice point discrepancy of certain planar and three-dimensional domains. Zbl 1197.11135
Krätzel, Ekkehard; Nowak, Werner Georg
2
2005
Lattice points in planar convex domains. Zbl 1071.11057
Krätzel, Ekkehard
3
2004
Lattice points in some special three-dimensional convex bodies with points of Gaussian curvature zero at the boundary. Zbl 1064.11064
Krätzel, Ekkehard
8
2002
Lattice points in three-dimensional convex bodies with points of Gaussian curvature zero at the boundary. Zbl 1016.11045
Krätzel, Ekkehard
7
2002
Primitive lattice points in a thin strip along the boundary of a large convex planar domain. Zbl 0984.11047
Krätzel, Ekkehard; Nowak, Werner Georg
1
2001
Analytic functions in number theory. Zbl 0962.11001
Krätzel, Ekkehard
11
2000
Lattice points in three-dimensional convex bodies. Zbl 0997.11079
Krätzel, Ekkehard
6
2000
Lattice points in super spheres. Zbl 0993.11050
Krätzel, E.
2
1999
Double exponential sums. Zbl 0857.11042
Krätzel, Ekkehard
1
1996
On the distribution of square-full and cube-full numbers. Zbl 0838.11059
Krätzel, Ekkehard
3
1995
On the number of Abelian groups of given order. Zbl 0810.11056
Krätzel, Ekkehard; Wolke, Dieter
1
1994
Estimates in the general divisor problem. Zbl 0776.11057
Krätzel, Ekkehard
8
1992
Lattice points in large convex bodies. II. Zbl 0769.11037
Krätzel, Ekkehard; Nowak, Werner Georg
5
1992
Lattice points in large convex bodies. Zbl 0754.11027
Krätzel, Ekkehard; Nowak, Werner Georg
5
1991
The distribution of powerful integers of type 4. Zbl 0646.10034
Krätzel, Ekkehard
1
1989
Lattice points. Zbl 0675.10031
Krätzel, Ekkehard
77
1988
On the average number of direct factors of a finite abelian group. Zbl 0633.10044
Krätzel, Ekkehard
9
1988
Primitive lattice points in special plane domains and a related three- dimensional lattice point problem. I. Zbl 0622.10036
Krätzel, Ekkehard
3
1987
Zweifache Exponentialsummen und dreidimensionale Gitterpunktprobleme. (Double exponential sums and three-dimensional lattice point problems). Zbl 0595.10035
Krätzel, Ekkehard
1
1985
\(\Omega\)-estimates for the number of lattice points in \(n\)-dimensional domains. Zbl 0544.10052
Krätzel, E.
1
1984
Divisor problems and powerful numbers. Zbl 0545.10030
Krätzel, Ekkehard
4
1983
Die Werteverteilung der Anzahl der nicht-isomorphen Abelschen Gruppen endlicher Ordnung und ein verwandtes zahlentheoretisches Problem. Zbl 0518.10051
Kraetzel, Ekkehard
2
1982
Squarefree numbers as sums of two squares. Zbl 0507.10038
Kraetzel, Ekkehard
1
1982
Zahlentheorie. Zbl 0488.10001
Kraetzel, E.
2
1981
Die Werteverteilung der Anzahl der nicht-isomorphen Abelschen Gruppen endlicher Ordnung in kurzen Intervallen. Zbl 0459.10030
Krätzel, Ekkehard
3
1980
Integral transformations of Bessel-type. Zbl 0403.44003
Krätzel, E.
9
1979
Zweidimensionale Todesprozesse in stetiger Zeit. Zbl 0403.60078
Krätzel, Ekkehard
1
1978
Asymptotische Entwicklung von Funktionen und asymptotische Lösungen von Funktionalgleichungen in mehreren Veränderlichen. Zbl 0297.41020
Krätzel, Ekkehard
1
1977
Zur Frage der Produktentwicklung höherer Thetafunktionen. Zbl 0292.33011
Krätzel, Ekkehard
1
1976
Zahlentheorie. Zbl 0331.12001
Koch, H.; Krätzel, E.; Neumann, O.
3
1974
Mittlere Darstellungen natürlicher Zahlen als Summe von n k-ten Potenzen. Zbl 0254.10037
Krätzel, Ekkehard
4
1973
Zahlen k-ter Art. Zbl 0243.10037
Krätzel, Ekkehard
4
1972
Verallgemeinerte Hankel-Funktionen. Zbl 0247.33014
Krätzel, Ekkehard; Menzer, Hartmut
1
1971
Die maximale Ordnung der Anzahl der wesentlich verschiedenen Abelschen Gruppen \(n\)-ter Ordnung. Zbl 0206.03402
Krätzel, E.
9
1970
Remarks on a lattice point problem. Zbl 0165.36303
Krätzel, Ekkehard
13
1969
Ein Teilerproblem. Zbl 0172.05702
Krätzel, E.
12
1969
Teilerprobleme in drei Dimensionen. Zbl 0201.05101
Krätzel, E.
3
1969
Mittlere Darstellungen natürlicher Zahlen als Differenz zweier \(k\)-ter Potenzen. Zbl 0201.05003
Krätzel, E.
2
1969
Identitäten für die Anzahl der Gitterpunkte in bestimmten Bereichen. Zbl 0155.09402
Krätzel, E.
2
1968
Eine Verallgemeinerung des Kreisproblems. Zbl 0204.06701
Krätzel, E.
4
1967
Differentiationssätze der \({\mathcal L}\)-Transformation und Differentialgleichungen nach dem Operator \((d/dt) t^{1/n-\nu} (t^{1- 1/n} (d/dt))^{n-1} t^{\nu+1-2/n}\). Zbl 0168.10301
Krätzel, E.
4
1967
Übertragung der Post-Widderschen Umkehrformel der Laplace- Transformation auf die L-Transformation. Zbl 0157.19602
Krätzel, E.
3
1967
Eine Verallgemeinerung der Laplace- und Meijer-Transformation. Zbl 0168.10204
Krätzel, Ekkehard
8
1965
Bemerkungen zur Meijer-Transformation und Anwendungen. Zbl 0168.10203
Krätzel, E.
5
1965
Die Faltung der L-Transformation. Zbl 0142.39601
Krätzel, Ekkehard
5
1965
Höhere Thetafunktionen. I., II. Zbl 0142.34002
Krätzel, E.
3
1965
A lattice point problem. Zbl 0131.29004
Krätzel, E.
1
1964
all top 5

Cited by 187 Authors

32 Nowak, Werner Georg
16 Krätzel, Ekkehard
12 Kuba, Gerald
9 Zhai, Wenguang
7 Cao, Xiaodong
7 Menzer, Hartmut
7 Tanigawa, Yoshio
6 Ivić, Aleksandar P.
6 Kühleitner, Manfred
5 Guo, Jingwei
5 Kilbas, Anatoliĭ Aleksandrovich
4 Furuya, Jun
4 Suryanarayana, D.
3 Al-Omari, Shrideh Khalaf Qasem
3 Liu, Hongquan
3 Trujillo, Juan J.
3 Žunić, Joviša D.
2 Borisov, Denis Ivanovich
2 Borwein, David
2 Borwein, Jonathan Michael
2 Chamizo Lorente, Fernando
2 Colzani, Leonardo
2 Gariboldi, Bianca
2 Gigante, Giacomo
2 Glaeske, Hans-Jürgen
2 Kiliçman, Adem
2 Kiuchi, Isao
2 Lelechenko, Andrew V.
2 Müller, Wolfgang
2 Saigo, Megumi
2 Seibold, René
2 Tóth, László
1 Agarwal, Praveen
1 Alkan, Emre
1 Alonso, Laurent
1 An, Chungming
1 Baier, Stephan
1 Baricz, Árpád
1 Barreal, Amaro
1 Battisti, Ubertino
1 Berndt, Bruce Carl
1 Bhowmik, Gautami
1 Bordellès, Olivier
1 Borsero, Massimo
1 Bourgain, Jean
1 Brychkov, Yury A.
1 Calderer, Antoni
1 Chernyshev, Vsevolod L.
1 Chestnut, Stephen R.
1 Coeurjolly, David
1 Coriasco, Sandro
1 Cristóbal, Elena
1 Cruz-Báez, Domingo Israel
1 Das, Soumya
1 Denker, Manfred
1 Derbal, Abdallah
1 Dernek, Ahmet
1 Dernek, Neşe
1 Diamond, Benjamin E.
1 Elsholtz, Christian
1 Fernández Bonder, Julián
1 Filaseta, Michael A.
1 Fokas, Athanassios S.
1 Fomenko, Oleg Mstislavovich
1 Freij-Hollanti, Ragnar
1 Gambini, Alessandro
1 Ganguly, Satadal
1 García, Victor Cuauhtemoc
1 Garg, Rahul
1 Graham, Sidney W.
1 Gupta, Arjun Kumar
1 Hafner, James Lee
1 Han, Jung Hun
1 Heinrich, Lukas
1 Heppner, Ernst
1 Heß, Friedrich
1 Hildebrand, Robert
1 Hollanti, Camilla Johanna
1 Horn, Günter
1 Hulse, Thomas A.
1 Iosevich, Alex
1 Jankov, Dragana
1 Jerison, David S.
1 Jiang, Tao
1 Kalimeris, Konstantinos
1 Kang, Seokkoo
1 Karpeshina, Yulia E.
1 Karras, Meselem
1 Kelmer, Dubi
1 Kim, Sun I.
1 Koh, Eusebio L.
1 Kordyukov, Yuri A.
1 Krötz, Bernhard J.
1 Kuan, Chan Ieong
1 Kumar, Dilip
1 Lachaud, Jacques-Olivier
1 Lahiri, Soumendra Nath
1 Laugesen, Richard Snyder
1 Lee, Young-Ran
1 Levallois, Jérémy
...and 87 more Authors
all top 5

Cited in 80 Serials

19 Monatshefte für Mathematik
15 Journal of Number Theory
11 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
11 Archiv der Mathematik
6 Functiones et Approximatio. Commentarii Mathematici
6 Manuscripta Mathematica
6 Acta Mathematica Hungarica
5 Journal of Mathematical Analysis and Applications
5 Mathematica Slovaca
4 Mathematische Nachrichten
4 Central European Journal of Mathematics
3 Czechoslovak Mathematical Journal
3 Journal of Computational and Applied Mathematics
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 Journal de Théorie des Nombres de Bordeaux
3 International Journal of Number Theory
2 Journal d’Analyse Mathématique
2 Annales de l’Institut Fourier
2 Duke Mathematical Journal
2 Illinois Journal of Mathematics
2 Journal of Soviet Mathematics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Indagationes Mathematicae. New Series
2 The Journal of Fourier Analysis and Applications
2 Abstract and Applied Analysis
2 Acta Mathematica Sinica. English Series
2 Journal of the Australian Mathematical Society
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 American Mathematical Monthly
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 International Journal of Systems Science
1 Israel Journal of Mathematics
1 Journal of Computational Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physica A
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Arkiv för Matematik
1 Mathematics of Computation
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Statistics
1 Colloquium Mathematicum
1 Integral Equations and Operator Theory
1 Journal of Multivariate Analysis
1 Journal of Pure and Applied Algebra
1 Mathematische Annalen
1 Mathematika
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Results in Mathematics
1 Advances in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Journal of Symbolic Computation
1 Algorithmica
1 Revista Matemática Iberoamericana
1 SIAM Journal on Discrete Mathematics
1 Computational Geometry
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 The Journal of Analysis
1 Vietnam Journal of Mathematics
1 Journal of Inequalities and Applications
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Networks and Heterogeneous Media
1 Acta Universitatis Sapientiae. Informatica
1 Science China. Mathematics
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Forum of Mathematics, Sigma
1 Communications in Mathematics and Statistics
1 Journal of Classical Analysis
1 Carpathian Mathematical Publications
1 Journal of Mathematics
1 Journal of Siberian Federal University. Mathematics & Physics
1 SIAM Journal on Applied Algebra and Geometry
all top 5

Cited in 40 Fields

146 Number theory (11-XX)
20 Convex and discrete geometry (52-XX)
12 Special functions (33-XX)
9 Partial differential equations (35-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Probability theory and stochastic processes (60-XX)
7 Integral transforms, operational calculus (44-XX)
6 Real functions (26-XX)
6 Functional analysis (46-XX)
4 Combinatorics (05-XX)
4 Group theory and generalizations (20-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Functions of a complex variable (30-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Sequences, series, summability (40-XX)
3 Approximations and expansions (41-XX)
3 Statistics (62-XX)
3 Computer science (68-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Algebraic geometry (14-XX)
2 Ordinary differential equations (34-XX)
2 Difference and functional equations (39-XX)
2 Abstract harmonic analysis (43-XX)
2 Operator theory (47-XX)
2 Numerical analysis (65-XX)
2 Mechanics of deformable solids (74-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Fluid mechanics (76-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year