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Gerritzen, Lothar

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Author ID: gerritzen.lothar Recent zbMATH articles by "Gerritzen, Lothar"
Published as: Gerritzen, L.; Gerritzen, Lothar
External Links: MGP · Wikidata · GND
Documents Indexed: 49 Publications since 1967, including 3 Books

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 331 times in 254 Documents Cited by Year
Schottky groups and Mumford curves. Zbl 0442.14009
Gerritzen, Lothar; van der Put, Marius
112
1980
Die Azyklizität der affinoiden Überdeckungen. Zbl 0197.17303
Gerritzen, L.; Grauert, Hans
28
1969
On non-Archimedean representations of Abelian varieties. Zbl 0255.14013
Gerritzen, L.
22
1972
Stable \(n\)-pointed trees of projective lines. Zbl 0698.14019
Gerritzen, L.; Herrlich, F.; van der Put, M.
16
1988
Über Endomorphismen nichtarchimedischer holomorpher Tori. Zbl 0199.55602
Gerritzen, L.
13
1970
Hopf co-addition for free magma algebras and the non-associative Hausdorff series. Zbl 1046.17001
Gerritzen, Lothar; Holtkamp, Ralf
12
2003
Die Norm der gleichmäßigen Konvergenz auf reduzierten affinoiden Algebren. Zbl 0159.33104
Gerritzen, L.
10
1968
Modules over the algebra of the noncommutative equation \(yx=1\). Zbl 0973.16017
Gerritzen, L.
9
2000
Zerlegungen der Picard-Gruppe nichtarchimedischer holomorpher Räume. Zbl 0353.14009
Gerritzen, L.
9
1977
The extended Schottky space. Zbl 0639.30040
Gerritzen, L.; Herrlich, F.
8
1988
Über Restklassennormen auf affinoiden Algebren. Zbl 0156.09201
Gerritzen, L.; Güntzer, Ulrich
8
1967
Erweiterungsendliche Ringe in der nichtarchimedischen Funktionentheorie. Zbl 0163.03403
Gerritzen, L.
7
1967
On Gröbner bases of noncommutative power series. Zbl 0930.16017
Gerritzen, L.; Holtkamp, R.
6
1998
Tree polynomials and non-associative Gröbner bases. Zbl 1158.17300
Gerritzen, Lothar
5
2006
Nonassociative exponential and logarithm. Zbl 1077.17003
Drensky, Vesselin; Gerritzen, Lothar
5
2004
Taylor expansion of noncommutative power series with an application to the Hausdorff series. Zbl 1022.16033
Gerritzen, L.
5
2003
Hilbert series and non-associative Gröbner bases. Zbl 0961.17002
Gerritzen, L.
5
2000
Taylor expansion of noncommutative polynomials. Zbl 0930.16015
Gerritzen, L.
4
1998
On multiplication algebras of Riemann matrices. Zbl 0245.14016
Gerritzen, L.
4
1971
Planar rooted trees and non-associative exponential series. Zbl 1052.05015
Gerritzen, L.
3
2004
Basic concepts of algebra. An introduction with respect to functorial aspects. Zbl 0816.00001
Gerritzen, Lothar
3
1994
On the algebra of totally degenerate theta functions. Zbl 0781.14032
Gerritzen, L.
3
1992
Equations defining the periods of totally degenerate curves. Zbl 0783.14017
Gerritzen, L.
3
1992
Periods and Gauss-Manin connection for families of p-adic Schottky groups. Zbl 0622.14018
Gerritzen, L.
3
1986
Zur analytischen Beschreibung des Raumes der Schottky-Mumford-Kurven. Zbl 0442.14007
Gerritzen, L.
3
1981
Unbeschränkte Steinsche Gebiete von \(\mathbb{P}\) und nichtarchimedische automorphe Formen. Zbl 0379.32027
Gerritzen, L.
3
1978
On the group of symplectic matrices over a free associative algebra. Zbl 1016.20033
Cohn, P. M.; Gerritzen, L.
2
2001
On infinite Gröbner bases in free algebras. Zbl 0930.16016
Gerritzen, L.
2
1998
The lowest term of the Schottky modular form. Zbl 0747.11022
Brinkmann, B.; Gerritzen, L.
2
1992
Die Jaboci-Abbildung über dem Raum der Mumfordkurven. Zbl 0498.14017
Gerritzen, L.
2
1982
On automorphism groups of p-adic Schottky curves. Zbl 0377.14006
Gerritzen, Lothar
2
1978
Ein \(p\)-adischer Beweis für die Irrationalität der Nullstellen von Besselfunktionen. Zbl 0344.10019
Gerritzen, L.
2
1977
Symplectic \(2\times 2\) matrices over free algebras. Zbl 1029.20024
Gerritzen, L.
1
1999
On quantum general linear groups. Zbl 0888.16019
Gerritzen, L.; Holtkamp, R.
1
1997
On Hopf algebras related to triangular matrices. Zbl 0807.16033
Gerritzen, L.
1
1994
Theta functions of totally degenerate curves. Zbl 0739.14017
Gerritzen, L.
1
1992
The Torelli map at the boundary of the Schottky space. Zbl 0687.14036
Gerritzen, L.
1
1990
Integrale zweiter Gattung auf Mumfordkurven. Zbl 0535.14016
Gerritzen, L.
1
1985
On the space of Schottky-Mumford curves. Zbl 0442.14008
Gerritzen, Lothar
1
1980
Zur nichtarchimedischen Uniformisierung von Kurven. Zbl 0273.14012
Gerritzen, L.
1
1974
Periode und Index eines prinzipal-homogenen Raumes über gewissen Abelschen Varietäten. Zbl 0244.14015
Gerritzen, Lothar
1
1973
On one-dimensional affinoid domains and open immersions. Zbl 0155.30102
Gerritzen, L.
1
1968
Tree polynomials and non-associative Gröbner bases. Zbl 1158.17300
Gerritzen, Lothar
5
2006
Nonassociative exponential and logarithm. Zbl 1077.17003
Drensky, Vesselin; Gerritzen, Lothar
5
2004
Planar rooted trees and non-associative exponential series. Zbl 1052.05015
Gerritzen, L.
3
2004
Hopf co-addition for free magma algebras and the non-associative Hausdorff series. Zbl 1046.17001
Gerritzen, Lothar; Holtkamp, Ralf
12
2003
Taylor expansion of noncommutative power series with an application to the Hausdorff series. Zbl 1022.16033
Gerritzen, L.
5
2003
On the group of symplectic matrices over a free associative algebra. Zbl 1016.20033
Cohn, P. M.; Gerritzen, L.
2
2001
Modules over the algebra of the noncommutative equation \(yx=1\). Zbl 0973.16017
Gerritzen, L.
9
2000
Hilbert series and non-associative Gröbner bases. Zbl 0961.17002
Gerritzen, L.
5
2000
Symplectic \(2\times 2\) matrices over free algebras. Zbl 1029.20024
Gerritzen, L.
1
1999
On Gröbner bases of noncommutative power series. Zbl 0930.16017
Gerritzen, L.; Holtkamp, R.
6
1998
Taylor expansion of noncommutative polynomials. Zbl 0930.16015
Gerritzen, L.
4
1998
On infinite Gröbner bases in free algebras. Zbl 0930.16016
Gerritzen, L.
2
1998
On quantum general linear groups. Zbl 0888.16019
Gerritzen, L.; Holtkamp, R.
1
1997
Basic concepts of algebra. An introduction with respect to functorial aspects. Zbl 0816.00001
Gerritzen, Lothar
3
1994
On Hopf algebras related to triangular matrices. Zbl 0807.16033
Gerritzen, L.
1
1994
On the algebra of totally degenerate theta functions. Zbl 0781.14032
Gerritzen, L.
3
1992
Equations defining the periods of totally degenerate curves. Zbl 0783.14017
Gerritzen, L.
3
1992
The lowest term of the Schottky modular form. Zbl 0747.11022
Brinkmann, B.; Gerritzen, L.
2
1992
Theta functions of totally degenerate curves. Zbl 0739.14017
Gerritzen, L.
1
1992
The Torelli map at the boundary of the Schottky space. Zbl 0687.14036
Gerritzen, L.
1
1990
Stable \(n\)-pointed trees of projective lines. Zbl 0698.14019
Gerritzen, L.; Herrlich, F.; van der Put, M.
16
1988
The extended Schottky space. Zbl 0639.30040
Gerritzen, L.; Herrlich, F.
8
1988
Periods and Gauss-Manin connection for families of p-adic Schottky groups. Zbl 0622.14018
Gerritzen, L.
3
1986
Integrale zweiter Gattung auf Mumfordkurven. Zbl 0535.14016
Gerritzen, L.
1
1985
Die Jaboci-Abbildung über dem Raum der Mumfordkurven. Zbl 0498.14017
Gerritzen, L.
2
1982
Zur analytischen Beschreibung des Raumes der Schottky-Mumford-Kurven. Zbl 0442.14007
Gerritzen, L.
3
1981
Schottky groups and Mumford curves. Zbl 0442.14009
Gerritzen, Lothar; van der Put, Marius
112
1980
On the space of Schottky-Mumford curves. Zbl 0442.14008
Gerritzen, Lothar
1
1980
Unbeschränkte Steinsche Gebiete von \(\mathbb{P}\) und nichtarchimedische automorphe Formen. Zbl 0379.32027
Gerritzen, L.
3
1978
On automorphism groups of p-adic Schottky curves. Zbl 0377.14006
Gerritzen, Lothar
2
1978
Zerlegungen der Picard-Gruppe nichtarchimedischer holomorpher Räume. Zbl 0353.14009
Gerritzen, L.
9
1977
Ein \(p\)-adischer Beweis für die Irrationalität der Nullstellen von Besselfunktionen. Zbl 0344.10019
Gerritzen, L.
2
1977
Zur nichtarchimedischen Uniformisierung von Kurven. Zbl 0273.14012
Gerritzen, L.
1
1974
Periode und Index eines prinzipal-homogenen Raumes über gewissen Abelschen Varietäten. Zbl 0244.14015
Gerritzen, Lothar
1
1973
On non-Archimedean representations of Abelian varieties. Zbl 0255.14013
Gerritzen, L.
22
1972
On multiplication algebras of Riemann matrices. Zbl 0245.14016
Gerritzen, L.
4
1971
Über Endomorphismen nichtarchimedischer holomorpher Tori. Zbl 0199.55602
Gerritzen, L.
13
1970
Die Azyklizität der affinoiden Überdeckungen. Zbl 0197.17303
Gerritzen, L.; Grauert, Hans
28
1969
Die Norm der gleichmäßigen Konvergenz auf reduzierten affinoiden Algebren. Zbl 0159.33104
Gerritzen, L.
10
1968
On one-dimensional affinoid domains and open immersions. Zbl 0155.30102
Gerritzen, L.
1
1968
Über Restklassennormen auf affinoiden Algebren. Zbl 0156.09201
Gerritzen, L.; Güntzer, Ulrich
8
1967
Erweiterungsendliche Ringe in der nichtarchimedischen Funktionentheorie. Zbl 0163.03403
Gerritzen, L.
7
1967
all top 5

Cited by 213 Authors

22 Gerritzen, Lothar
14 van der Put, Marius
9 Gekeler, Ernst-Ulrich
8 Bosch, Siegfried
7 Lütkebohmert, Werner
6 Holtkamp, Ralf
5 Cornelissen, Gunther
5 Herrlich, Frank
5 Ichikawa, Takashi
5 Pérez-Izquierdo, José María
5 Reversat, Marc
4 Bartenwerfer, Wolfgang
4 Drensky, Vesselin
4 Lubotzky, Alexander
4 Mostovoy, Jacob
4 Pál, Ambrus
4 Shestakov, Ivan Pavlovich
3 Bradley, Patrick Erik
3 Darmon, Henri René
3 Fresnel, Jean
3 Goss, David
3 Kato, Fumiharu
3 Longo, Matteo
3 Marcolli, Matilde
3 Morita, Yasuo
3 Schneider, Peter
3 Vincent, Christelle
2 Bavula, Vladimir V.
2 Bertolini, Massimo
2 Betina, Adel
2 Blume, Mark
2 Brinkmann, Bernd
2 Büser, Jürgen
2 Dotsenko, Vladimir Viktorovich
2 Escassut, Alain
2 Giansiracusa, Noah
2 Güntzer, Ulrich
2 Heinrich, Elkedagmar
2 Hidalgo, Rubén Antonio
2 Kiehl, Reinhardt
2 Lecouturier, Emmanuel
2 Liu, Qing
2 Oort, Frans
2 Phillips, Ralph Saul
2 Piwek, Meinolf
2 Saito, Shuji
2 Sarnak, Peter Clive
2 Tan, Ki-Seng
2 Teitelbaum, Jeremy T.
2 van Steen, Guido
2 Voskuil, Harm H.
2 Yoshida, Masaaki
1 Abrams, Gene D.
1 Alaminos, Jerónimo
1 Alberca Bjerregaard, Pablo
1 Amorós, Laia
1 Andreatta, Fabrizio
1 Aranda Pino, Gonzalo
1 Azad, Hassan
1 Barata, João C. A.
1 Basson, Dirk
1 Batyrev, Victor V.
1 Berthelot, Pierre
1 Besser, Amnon
1 Beukers, Frits
1 Biermann, Susanne
1 Böckle, Gebhard
1 Bojkovic, Velibor
1 Bouw, Irene I.
1 Brešar, Matej
1 Breuer, Florian
1 Brouillard, Christophe
1 Bundschuh, Peter
1 Burgunder, Emily
1 Butler, Melanie B.
1 Calderón Martín, Antonio Jesús
1 Centeleghe, Tommaso Giorgio
1 Chan, Daniel
1 Chekhov, Leonid O.
1 Chenavier, Cyrille
1 Chery, William
1 Chida, Masataka
1 Chow, Wei-Liang
1 Cicalò, Serena
1 Clark, Peter Louis
1 Coleman, Robert Frederick
1 Couveignes, Jean-Marc
1 Cueto, María Angélica
1 Dasgupta, Samit
1 de Graaf, Willem Adriaan
1 de Shalit, Ehud
1 Denneberg, Dieter
1 Di Vincenzo, Onofrio Mario
1 Díaz, Raquel Gómez
1 Dwork, Bernard Morris
1 Fieseler, Karl-Heinz
1 Fındık, Şehmus
1 Flicker, Yuval Z.
1 Flon, Stéphane
1 Franc, Cameron
...and 113 more Authors
all top 5

Cited in 85 Serials

34 Mathematische Annalen
14 Journal of Number Theory
13 Compositio Mathematica
13 Journal of Algebra
12 Inventiones Mathematicae
9 Manuscripta Mathematica
9 Indagationes Mathematicae. New Series
8 Archiv der Mathematik
7 Israel Journal of Mathematics
7 Annales de l’Institut Fourier
6 Mathematische Zeitschrift
5 Proceedings of the American Mathematical Society
5 Transactions of the American Mathematical Society
5 Journal de Théorie des Nombres de Bordeaux
4 Communications in Mathematical Physics
4 Duke Mathematical Journal
4 Journal of Symbolic Computation
3 Advances in Mathematics
3 Rendiconti del Seminario Matematico della Università di Padova
3 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
3 Bulletin de la Société Mathématique de France. Supplément. Mémoires
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Bulletin of the Australian Mathematical Society
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin de la Société Mathématique de France
2 Glasgow Mathematical Journal
2 Journal für die Reine und Angewandte Mathematik
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Tohoku Mathematical Journal. Second Series
2 Advances in Applied Mathematics
2 Acta Applicandae Mathematicae
2 International Journal of Algebra and Computation
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Algebraic Geometry
2 The Ramanujan Journal
2 Annals of Mathematics. Second Series
2 Journal of Algebra and its Applications
2 International Journal of Number Theory
1 Communications in Algebra
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 Mathematics of Computation
1 Journal of Geometry and Physics
1 Beiträge zur Algebra und Geometrie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Algebra and Logic
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Functional Analysis and its Applications
1 Geometriae Dedicata
1 Publications Mathématiques
1 Journal of the Mathematical Society of Japan
1 Journal of Pure and Applied Algebra
1 Journal of Soviet Mathematics
1 Nagoya Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Semigroup Forum
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Ergodic Theory and Dynamical Systems
1 Combinatorica
1 Journal of Classification
1 Journal of the American Mathematical Society
1 Geometric and Functional Analysis. GAFA
1 Linear Algebra and its Applications
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Combinatorics
1 Journal of Mathematical Sciences (New York)
1 Integral Transforms and Special Functions
1 Documenta Mathematica
1 Transformation Groups
1 Taiwanese Journal of Mathematics
1 LMS Journal of Computation and Mathematics
1 Journal of Systems Science and Complexity
1 Journal of the Institute of Mathematics of Jussieu
1 International Journal of Geometric Methods in Modern Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Proceedings of the Steklov Institute of Mathematics
1 Involve
1 Advances and Applications in Discrete Mathematics
1 Journal of Topology and Analysis
1 Bulletin of Mathematical Sciences
1 Research in the Mathematical Sciences
1 Algebraic Combinatorics
all top 5

Cited in 40 Fields

126 Algebraic geometry (14-XX)
86 Number theory (11-XX)
44 Several complex variables and analytic spaces (32-XX)
29 Associative rings and algebras (16-XX)
25 Group theory and generalizations (20-XX)
20 Nonassociative rings and algebras (17-XX)
19 Field theory and polynomials (12-XX)
15 Commutative algebra (13-XX)
11 Combinatorics (05-XX)
11 Topological groups, Lie groups (22-XX)
9 Functions of a complex variable (30-XX)
6 Category theory; homological algebra (18-XX)
6 Functional analysis (46-XX)
5 \(K\)-theory (19-XX)
5 Operator theory (47-XX)
5 Differential geometry (53-XX)
4 Partial differential equations (35-XX)
4 Abstract harmonic analysis (43-XX)
4 Quantum theory (81-XX)
3 Computer science (68-XX)
2 General algebraic systems (08-XX)
2 Special functions (33-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Relativity and gravitational theory (83-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Convex and discrete geometry (52-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Optics, electromagnetic theory (78-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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