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Krieg, Aloys

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Author ID: krieg.aloys Recent zbMATH articles by "Krieg, Aloys"
Published as: Krieg, A.; Krieg, Alois; Krieg, Aloys
Homepage: http://www.matha.rwth-aachen.de/de/mitarbeiter/krieg/
External Links: MGP · Wikidata · ORCID · dblp · GND
Documents Indexed: 63 Publications since 1985, including 8 Books
Reviewing Activity: 193 Reviews

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 369 times in 230 Documents Cited by Year
Modular forms on half-spaces of quaternions. Zbl 0564.10032
Krieg, Aloys
59
1985
Hecke algebras. Zbl 0706.11029
Krieg, Aloys
39
1990
The Maaß space on the Hermitian half-space of degree 2. Zbl 0713.11033
Krieg, Alois
34
1991
Graded rings of Hermitian modular forms of degree 2. Zbl 1038.11030
Dern, Tobias; Krieg, Aloys
22
2003
Elliptic functions and modular forms. Zbl 0895.11001
Koecher, Max; Krieg, Aloys
17
1998
Elliptic functions and modular forms. 2nd revised ed. Zbl 1129.11001
Koecher, Max; Krieg, Aloys
14
2007
The Maaß-space on the half-space of quaternions of degree 2. Zbl 0613.10027
Krieg, Aloys
14
1987
Eisenstein series on real, complex, and quaternionic half-spaces. Zbl 0657.10025
Krieg, Aloys
11
1988
Das Vertauschungsgesetz zwischen Hecke-Operatoren und dem Siegelschen \(\Phi\) -Operator. (The commutation property between Hecke operators and Siegel’s \(\Phi\) -operator). Zbl 0566.10019
Krieg, Aloys
11
1986
The Maaß space and Hecke operators. Zbl 0683.10024
Krieg, Aloys
10
1990
The graded ring of quaternionic modular forms of degree 2. Zbl 1132.11025
Krieg, A.
8
2005
A Dirichlet series for modular forms of degree \(n\). Zbl 0707.11037
Krieg, Aloys
8
1991
The elementary divisor theory over the Hurwitz order of integral quaternions. Zbl 0663.15003
Krieg, Aloys
8
1987
The Hecke-algebras related to the unimodular and modular group over the Hurwitz order of integral quaternions. Zbl 0659.10027
Krieg, Aloys
8
1987
Jacobi forms of several variables and the Maaß space. Zbl 0879.11020
Krieg, Aloys
7
1996
Modular forms on the Fricke group. Zbl 0851.11027
Krieg, A.
7
1995
Characteristic twists of a Dirichlet series for Siegel cusp forms. Zbl 0879.11021
Kohnen, W.; Krieg, A.; Sengupta, J.
7
1995
Eisenstein series on the four-dimensional hyperbolic space. Zbl 0657.10026
Krieg, Aloys
7
1988
The Maaß-space on the half-plane of Cayley numbers of degree two. Zbl 0729.11022
Eie, Minking; Krieg, Aloys
6
1992
Multiplier systems for the modular group on the 27-dimensional exceptional domain. Zbl 0902.11021
Krieg, Aloys; Walcher, Sebastian
5
1998
The functional equation for the twisted spinor \(L\)-series of genus 2. Zbl 1297.11042
Krieg, Aloys; Raum, Martin
4
2013
On the classification of even unimodular lattices with a complex structure. Zbl 1246.11094
Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele
4
2012
Another quaternionic Maaß space. Zbl 1276.11074
Krieg, Aloys
4
2011
The graded ring of Hermitian modular forms of degree 2 over \(\mathbb Q(\sqrt{-2})\). Zbl 1059.11037
Dern, Tobias; Krieg, Aloys
4
2004
Theta correspondence for Eisenstein series. Zbl 0773.11028
Deitmar, Anton; Krieg, Aloys
4
1991
Hecke operators with respect to the modular group of quaternions. Zbl 0721.11020
Krieg, A.
4
1990
The Hecke algebras for the orthogonal group \(\mathrm{SO}(2, 3)\) and the paramodular group of degree \(2\). Zbl 1445.11038
Gallenkämper, Jonas; Krieg, Aloys
3
2018
Integral orthogonal groups. Zbl 1394.20027
Krieg, Aloys
3
2016
On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices. Zbl 1229.11062
Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele
3
2010
Quaternionic theta constants. Zbl 1262.11060
Gehre, Dominic; Krieg, Aloys
3
2010
Eisenstein series on Kähler’s Poincaré group. Zbl 1365.11106
Krieg, Aloys
3
2003
The Maaß space for the nontrivial multiplier system over the Hurwitz quaternions. Zbl 0912.11020
Krieg, Aloys
3
1998
The singular modular forms on the 27-dimensional exceptional domain. Zbl 0878.11019
Krieg, Aloys
3
1997
Kocher-Maaß-series for modular forms of quaternions. Zbl 0698.10019
Krieg, Aloys
3
1990
The graded ring of modular forms on the Cayley half-space of degree two. Zbl 1444.11092
Dieckmann, C.; Krieg, A.; Woitalla, M.
2
2019
The Maaß space and Hecke operators. Zbl 1417.11066
Gallenkämper, Jonas; Heim, Bernhard; Krieg, Aloys
2
2016
Möbius transformations on \(\mathbb{R}^3\). Zbl 1213.20046
Jakobs, Wencke; Krieg, Aloys
2
2010
Paul L. Butzer – five years as Professor Emeritus. Zbl 0973.01079
Görlich, E.; Krieg, A.; Nessel, R. J.; Stens, R. L.
2
1998
The theory of Jacobi forms over the Cayley numbers. Zbl 0854.11027
Eie, M.; Krieg, A.
2
1994
The restriction of octonionic theta constants to the quaternionic half-space. Zbl 1366.11111
Dieckmann, C.; Krieg, A.
1
2014
Theta series over the Hurwitz quaternions. Zbl 1253.11057
Krieg, Aloys
1
2010
A Hermitian analog of the Schottky form. Zbl 1105.11012
Hentschel, M.; Krieg, A.
1
2006
Plane geometry. 2., neu bearb. und erweiterte Aufl. Zbl 0957.51001
Koecher, Max; Krieg, Aloys
1
2000
The Hecke algebras for the Fricke groups. Zbl 0939.11022
Krieg, Aloys
1
1998
On the Epstein zeta function. Zbl 0810.11022
Krieg, Aloys
1
1994
Primitive minima of positive definite quadratic forms. Zbl 0780.11034
Krieg, Aloys
1
1993
Hecke-Operatoren und Dirichlet-Reihen für Modulformen auf dem Quaternionen-Halbraum. (Hecke operators and Dirichlet series for modular forms on the quaternionian half space). Zbl 0689.10036
Krieg, Aloys
1
1989
Maschke’s theorem for Hecke-algebras. Zbl 0667.16009
Krieg, Aloys
1
1986
The graded ring of modular forms on the Cayley half-space of degree two. Zbl 1444.11092
Dieckmann, C.; Krieg, A.; Woitalla, M.
2
2019
The Hecke algebras for the orthogonal group \(\mathrm{SO}(2, 3)\) and the paramodular group of degree \(2\). Zbl 1445.11038
Gallenkämper, Jonas; Krieg, Aloys
3
2018
Integral orthogonal groups. Zbl 1394.20027
Krieg, Aloys
3
2016
The Maaß space and Hecke operators. Zbl 1417.11066
Gallenkämper, Jonas; Heim, Bernhard; Krieg, Aloys
2
2016
The restriction of octonionic theta constants to the quaternionic half-space. Zbl 1366.11111
Dieckmann, C.; Krieg, A.
1
2014
The functional equation for the twisted spinor \(L\)-series of genus 2. Zbl 1297.11042
Krieg, Aloys; Raum, Martin
4
2013
On the classification of even unimodular lattices with a complex structure. Zbl 1246.11094
Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele
4
2012
Another quaternionic Maaß space. Zbl 1276.11074
Krieg, Aloys
4
2011
On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices. Zbl 1229.11062
Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele
3
2010
Quaternionic theta constants. Zbl 1262.11060
Gehre, Dominic; Krieg, Aloys
3
2010
Möbius transformations on \(\mathbb{R}^3\). Zbl 1213.20046
Jakobs, Wencke; Krieg, Aloys
2
2010
Theta series over the Hurwitz quaternions. Zbl 1253.11057
Krieg, Aloys
1
2010
Elliptic functions and modular forms. 2nd revised ed. Zbl 1129.11001
Koecher, Max; Krieg, Aloys
14
2007
A Hermitian analog of the Schottky form. Zbl 1105.11012
Hentschel, M.; Krieg, A.
1
2006
The graded ring of quaternionic modular forms of degree 2. Zbl 1132.11025
Krieg, A.
8
2005
The graded ring of Hermitian modular forms of degree 2 over \(\mathbb Q(\sqrt{-2})\). Zbl 1059.11037
Dern, Tobias; Krieg, Aloys
4
2004
Graded rings of Hermitian modular forms of degree 2. Zbl 1038.11030
Dern, Tobias; Krieg, Aloys
22
2003
Eisenstein series on Kähler’s Poincaré group. Zbl 1365.11106
Krieg, Aloys
3
2003
Plane geometry. 2., neu bearb. und erweiterte Aufl. Zbl 0957.51001
Koecher, Max; Krieg, Aloys
1
2000
Elliptic functions and modular forms. Zbl 0895.11001
Koecher, Max; Krieg, Aloys
17
1998
Multiplier systems for the modular group on the 27-dimensional exceptional domain. Zbl 0902.11021
Krieg, Aloys; Walcher, Sebastian
5
1998
The Maaß space for the nontrivial multiplier system over the Hurwitz quaternions. Zbl 0912.11020
Krieg, Aloys
3
1998
Paul L. Butzer – five years as Professor Emeritus. Zbl 0973.01079
Görlich, E.; Krieg, A.; Nessel, R. J.; Stens, R. L.
2
1998
The Hecke algebras for the Fricke groups. Zbl 0939.11022
Krieg, Aloys
1
1998
The singular modular forms on the 27-dimensional exceptional domain. Zbl 0878.11019
Krieg, Aloys
3
1997
Jacobi forms of several variables and the Maaß space. Zbl 0879.11020
Krieg, Aloys
7
1996
Modular forms on the Fricke group. Zbl 0851.11027
Krieg, A.
7
1995
Characteristic twists of a Dirichlet series for Siegel cusp forms. Zbl 0879.11021
Kohnen, W.; Krieg, A.; Sengupta, J.
7
1995
The theory of Jacobi forms over the Cayley numbers. Zbl 0854.11027
Eie, M.; Krieg, A.
2
1994
On the Epstein zeta function. Zbl 0810.11022
Krieg, Aloys
1
1994
Primitive minima of positive definite quadratic forms. Zbl 0780.11034
Krieg, Aloys
1
1993
The Maaß-space on the half-plane of Cayley numbers of degree two. Zbl 0729.11022
Eie, Minking; Krieg, Aloys
6
1992
The Maaß space on the Hermitian half-space of degree 2. Zbl 0713.11033
Krieg, Alois
34
1991
A Dirichlet series for modular forms of degree \(n\). Zbl 0707.11037
Krieg, Aloys
8
1991
Theta correspondence for Eisenstein series. Zbl 0773.11028
Deitmar, Anton; Krieg, Aloys
4
1991
Hecke algebras. Zbl 0706.11029
Krieg, Aloys
39
1990
The Maaß space and Hecke operators. Zbl 0683.10024
Krieg, Aloys
10
1990
Hecke operators with respect to the modular group of quaternions. Zbl 0721.11020
Krieg, A.
4
1990
Kocher-Maaß-series for modular forms of quaternions. Zbl 0698.10019
Krieg, Aloys
3
1990
Hecke-Operatoren und Dirichlet-Reihen für Modulformen auf dem Quaternionen-Halbraum. (Hecke operators and Dirichlet series for modular forms on the quaternionian half space). Zbl 0689.10036
Krieg, Aloys
1
1989
Eisenstein series on real, complex, and quaternionic half-spaces. Zbl 0657.10025
Krieg, Aloys
11
1988
Eisenstein series on the four-dimensional hyperbolic space. Zbl 0657.10026
Krieg, Aloys
7
1988
The Maaß-space on the half-space of quaternions of degree 2. Zbl 0613.10027
Krieg, Aloys
14
1987
The elementary divisor theory over the Hurwitz order of integral quaternions. Zbl 0663.15003
Krieg, Aloys
8
1987
The Hecke-algebras related to the unimodular and modular group over the Hurwitz order of integral quaternions. Zbl 0659.10027
Krieg, Aloys
8
1987
Das Vertauschungsgesetz zwischen Hecke-Operatoren und dem Siegelschen \(\Phi\) -Operator. (The commutation property between Hecke operators and Siegel’s \(\Phi\) -operator). Zbl 0566.10019
Krieg, Aloys
11
1986
Maschke’s theorem for Hecke-algebras. Zbl 0667.16009
Krieg, Aloys
1
1986
Modular forms on half-spaces of quaternions. Zbl 0564.10032
Krieg, Aloys
59
1985
all top 5

Cited by 242 Authors

28 Krieg, Aloys
13 Nagaoka, Shoyu
11 Kraußhar, Rolf Sören
10 Heim, Bernhard Ernst
7 Kikuta, Toshiyuki
7 Raum, Martin
6 Das, Soumya
6 Mizuno, Yoshinori
5 Choi, Soyoung
5 Freitag, Eberhard
5 Kim, Henry H.
5 Kohnen, Winfried
5 Neuhauser, Markus
4 Constales, Denis
4 Eie, Minking
4 Kim, Chang Heon
4 Laca, Marcelo
4 Larsen, Nadia S.
4 Nebe, Gabriele
4 Salvati Manni, Riccardo
3 Böcherer, Siegfried
3 Gritsenko, Valeriĭ Alekseevich
3 Hentschel, Michael
3 Katsurada, Hidenori
3 Klosin, Krzysztof
3 Palma, Rui
3 Ryan, Nathan C.
3 Williams, Brandon
3 Yamauchi, Takuya
2 Achab, Dehbia
2 Bannai, Eiichi
2 Choie, YoungJu
2 Dern, Tobias
2 Ensenbach, Marc
2 Gallenkämper, Jonas
2 Gehre, Dominic
2 Grob, Dennis
2 Ibukiyama, Tomoyoshi
2 Ikeda, Tamotsu
2 Lee, Kyung Seung
2 Matthes, Roland
2 Nakamura, Yoshitsugu
2 Narita, Hiro-aki
2 Neshveyev, Sergey V.
2 Pitale, Ameya
2 Poor, Cris
2 Rădulescu, Florin
2 Runge, Bernhard
2 Rupp, Florian H.-H.
2 Sengupta, Jyoti
2 Takemori, Sho
2 Walcher, Sebastian
2 Wernz, Annalena
2 Woitalla, Martin
2 Yuen, David S.
1 Ablinger, Jakob
1 Abramenko, Peter
1 Albuquerque, Helena
1 Anderson, Michael Richard
1 Aoi, Hisashi
1 Atobe, Hiraku
1 Baake, Michael
1 Baumgartner, Udo
1 Berger, Tobias
1 Bhowmik, Gautami
1 Blümlein, Johannes
1 Böhm, Janko
1 Bouganis, Thanasis
1 Braun, Oliver
1 Breulmann, Stefan
1 Bringmann, Kathrin
1 Bruinier, Jan Hendrik
1 Buchholz, Arne
1 Butzer, Paul Leo
1 Chang, Shou-Te
1 Chen, Wei
1 Chew, Chun Yong
1 Chiera, Francesco Ludovico
1 Chin, Angelina Yan Mui
1 Chinello, Gianmarco
1 Coulangeon, Renaud
1 Davis, James Frederic
1 de Cornulier, Yves
1 De Freitas, Abilio
1 de Haro, Sebastian
1 Deitmar, Anton
1 Dieckmann, Claudia
1 Dieckmann, Till
1 Dorfmeister, Josef F.
1 Dougherty, Steven T.
1 Drmota, Michael
1 Duke, William Drexel
1 Ernvall-Hytönen, Anne-Maria
1 Exel, Ruy
1 Fan, Xingya
1 Feingold, Alex Jay
1 Fiorentino, Alessio
1 Fleischmann, Peter
1 Fukshansky, Lenny
1 Futorny, Vyacheslav M.
...and 142 more Authors
all top 5

Cited in 83 Serials

27 Journal of Number Theory
19 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
10 Mathematische Zeitschrift
10 Proceedings of the American Mathematical Society
10 The Ramanujan Journal
9 Journal of Algebra
9 Manuscripta Mathematica
7 Advances in Mathematics
6 Transactions of the American Mathematical Society
6 International Journal of Number Theory
5 Annales de l’Institut Fourier
4 Mathematics of Computation
4 Archiv der Mathematik
4 International Journal of Mathematics and Mathematical Sciences
4 Mathematische Annalen
4 Results in Mathematics
4 Linear Algebra and its Applications
3 Communications in Algebra
3 Journal of Soviet Mathematics
3 Memoirs of the American Mathematical Society
3 Journal of High Energy Physics
3 Kyoto Journal of Mathematics
3 Research in Number Theory
2 Acta Arithmetica
2 Journal of the Mathematical Society of Japan
2 Journal für die Reine und Angewandte Mathematik
2 European Journal of Combinatorics
2 Zeitschrift für Analysis und ihre Anwendungen
2 Forum Mathematicum
2 Science in China. Series A
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Complex Analysis and Operator Theory
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Physics
1 Lithuanian Mathematical Journal
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Metrika
1 Journal of Geometry and Physics
1 Beiträge zur Algebra und Geometrie
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Journal of Approximation Theory
1 Journal of Functional Analysis
1 Mathematische Nachrichten
1 Mathematika
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Computer Aided Geometric Design
1 Journal of Symbolic Computation
1 ACM Transactions on Graphics
1 Applied Mathematics Letters
1 International Journal of Mathematics
1 Geometric and Functional Analysis. GAFA
1 Aequationes Mathematicae
1 Historia Mathematica
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Mathematical Programming. Series A. Series B
1 Experimental Mathematics
1 Advances in Applied Clifford Algebras
1 Annals of Mathematics. Second Series
1 LMS Journal of Computation and Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Integers
1 Algebraic & Geometric Topology
1 Computational Methods and Function Theory
1 Journal of Algebra and its Applications
1 Journal of Noncommutative Geometry
1 Acta Mathematica Universitatis Ostraviensis
1 Forum of Mathematics, Pi
1 Axioms
1 Open Mathematics
all top 5

Cited in 44 Fields

182 Number theory (11-XX)
25 Group theory and generalizations (20-XX)
17 Algebraic geometry (14-XX)
14 Combinatorics (05-XX)
12 Nonassociative rings and algebras (17-XX)
12 Functions of a complex variable (30-XX)
10 Functional analysis (46-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
7 Topological groups, Lie groups (22-XX)
6 Information and communication theory, circuits (94-XX)
5 Associative rings and algebras (16-XX)
5 Dynamical systems and ergodic theory (37-XX)
3 History and biography (01-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Special functions (33-XX)
3 Quantum theory (81-XX)
3 Relativity and gravitational theory (83-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
2 Real functions (26-XX)
2 Partial differential equations (35-XX)
2 Difference and functional equations (39-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Numerical analysis (65-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Measure and integration (28-XX)
1 Ordinary differential equations (34-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Operator theory (47-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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