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Cigler, Johann

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Author ID: cigler.johann Recent zbMATH articles by "Cigler, Johann"
Published as: Cigler, J.; Cigler, Johann; Cigler, johann
Homepage: https://homepage.univie.ac.at/johann.cigler/
External Links: MGP · Math-Net.Ru · Wikidata · MathOverflow · dblp · GND
Documents Indexed: 69 Publications since 1960, including 10 Books
Reviewing Activity: 186 Reviews

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 338 times in 263 Documents Cited by Year
Operatormethoden für q-identitäten. Zbl 0424.05007
Cigler, J.
40
1979
Neuere Entwicklungen der Theorie der Gleichverteilung. Zbl 0109.03404
Cigler, J.; Helmberg, G.
39
1961
Banach modules and functors on categories of Banach spaces. Zbl 0411.46044
Cigler, Johann; Losert, Viktor; Michor, Peter
32
1979
A new class of \(q\)-Fibonacci polynomials. Zbl 1027.05006
Cigler, Johann
15
2003
Der individuelle Ergodensatz in der Theorie der Gleichverteilung mod 1. Zbl 0131.29301
Cigler, Johann
14
1960
Some remarks on Rota’s umbral calculus. Zbl 0379.33010
Cigler, J.
12
1978
\(q\)-Fibonacci polynomials. Zbl 1027.11011
Cigler, Johann
11
2003
Operatormethoden für q-Identitäten II: q-Laguerre-Polynome. Zbl 0447.05008
Cigler, Johann
11
1981
Folgen normierter Maße auf kompakten Gruppen. Zbl 0109.10702
Cigler, J.
11
1962
Ziffernverteilung in \(\vartheta\)-adischen Brüchen. Zbl 0215.35703
Cigler, J.
11
1961
Some determinants of path generating functions. Zbl 1227.05067
Cigler, J.; Krattenthaler, C.
10
2011
A curious \(q\)-analogue of Hermite polynomials. Zbl 1232.33012
Cigler, Johann; Zeng, Jiang
9
2011
Über eine Verallgemeinerung des Hauptsatzes der Theorie der Gleichverteilung. Zbl 0117.28402
Cigler, J.
9
1962
Asymptotische Verteilung reeller Zahlen mod 1. Zbl 0111.25301
Cigler, J.
9
1960
\(q\)-Fibonacci polynomials and the Rogers-Ramanujan identities. Zbl 1161.11308
Cigler, Johann
8
2004
Normed ideals in \(L^ 1(G)\). Zbl 0176.44703
Cigler, J.
8
1969
Operatormethoden für q-Identitäten. III: Umbrale Inversion und die Lagrangesche Formel. Zbl 0458.05012
Cigler, J.
7
1980
\(q\)-Catalan and \(q\)-Motzkin numbers. Zbl 1003.05010
Cigler, J.
5
1999
Some remarks on Catalan families. Zbl 0641.05003
Cigler, J.
5
1987
Funktoren auf Kategorien von Banachräumen. Zbl 0277.46061
Cigler, J.
5
1974
The fundamental theorem of van der Corput on uniform distribution and its generalizations. Zbl 0147.37102
Cigler, J.
5
1964
Über die Grenzverteilung von Summen Markovscher Ketten auf endlichen Gruppen. I, II. Zbl 0117.35701
Cigler, J.
5
1963
Some algebraic aspects of Morse code sequences. Zbl 1153.05302
Cigler, Johann
4
2003
A characterisation of the \(q\)-exponential polynomials. Zbl 1023.33011
Cigler, J.
4
1999
A new \(q\)-analog of Stirling numbers. Zbl 0807.05003
Cigler, J.
4
1992
Some remarks on the distribution mod 1 of tempered sequences. Zbl 0167.32102
Cigler, J.
4
1968
A characterization of well-distributed sequences. Zbl 0139.27801
Cigler, J.
4
1966
Methods of summability and uniform distribution mod 1. Zbl 0135.10901
Cigler, J.
4
1964
Ein gruppentheoretisches Analogon zum Begriff der normalen Zahl. Zbl 0103.01902
Cigler, Johann
4
1961
Some relations between generalized Fibonacci and Catalan numbers. Zbl 1080.05502
Cigler, Johann
3
2002
Tensor products of functors on categories of Banach spaces. Zbl 0333.46047
Cigler, J.
3
1976
Über die Summe Markovscher Ketten auf endlichen Gruppen. Zbl 0134.14203
Cigler, J.; Schmetterer, L.
3
1964
Operator method for \(q\)-identities. VII: \(q\)-Catalan determinants. Zbl 1003.05005
Cigler, J.
2
1999
Fundamental concepts of mathematics. Zbl 0925.00004
Cigler, Johann
2
1992
Topologie. Eine Grundvorlesung. Zbl 0397.54001
Cigler, Johann; Reichel, Hans-Christian
2
1978
Book review of: V. H. Moll, Numbers and functions. From a classical-experimental mathematician’s point of view. Zbl 1335.00019
Cigler, J.
1
2013
A class of Rogers-Ramanujan type recursions. Zbl 1114.05010
Cigler, Johann
1
2004
Some \(q\)-analogues of Lucas and Fibonacci polynomials. Zbl 1083.11013
Cigler, Johann
1
2002
Recurrences for some sequences of binomial sums. Zbl 1050.05009
Cigler, J.
1
2001
Operator methods for \(q\)-identities. V: \(q\)-Catalan trees. Zbl 0883.05005
Cigler, J.
1
1997
Operator methods for \(q\)-identities. IV: A class of Gould \(q\)-polynomials. Zbl 0880.05007
Cigler, J.
1
1997
On the number of generating sets in finite vector spaces. Zbl 0777.15002
Cigler, J.
1
1992
Elementary \(q\)-identities. Zbl 0977.11501
Cigler, Johann
1
1981
A note on a paper by L. Carlitz. Zbl 0409.33015
Cigler, J.
1
1979
Zur Dualität von Funktoren, die durch Funktionenräume definiert sind. Zbl 0337.46059
Cigler, J.
1
1976
Well-distributed sequences. Zbl 0218.10068
Cigler, J.
1
1971
On a theorem of H. Weyl. Zbl 0184.07502
Cigler, J.
1
1969
Invariant \(\sigma\)-algebras on locally compact Abelian groups. Zbl 0186.46403
Cigler, J.
1
1967
Über die Häufigkeit von Zahlenfolgen mit gegebener Verteilungsfunktion. Zbl 0114.26601
Cigler, J.; Volkmann, B.
1
1963
Book review of: V. H. Moll, Numbers and functions. From a classical-experimental mathematician’s point of view. Zbl 1335.00019
Cigler, J.
1
2013
Some determinants of path generating functions. Zbl 1227.05067
Cigler, J.; Krattenthaler, C.
10
2011
A curious \(q\)-analogue of Hermite polynomials. Zbl 1232.33012
Cigler, Johann; Zeng, Jiang
9
2011
\(q\)-Fibonacci polynomials and the Rogers-Ramanujan identities. Zbl 1161.11308
Cigler, Johann
8
2004
A class of Rogers-Ramanujan type recursions. Zbl 1114.05010
Cigler, Johann
1
2004
A new class of \(q\)-Fibonacci polynomials. Zbl 1027.05006
Cigler, Johann
15
2003
\(q\)-Fibonacci polynomials. Zbl 1027.11011
Cigler, Johann
11
2003
Some algebraic aspects of Morse code sequences. Zbl 1153.05302
Cigler, Johann
4
2003
Some relations between generalized Fibonacci and Catalan numbers. Zbl 1080.05502
Cigler, Johann
3
2002
Some \(q\)-analogues of Lucas and Fibonacci polynomials. Zbl 1083.11013
Cigler, Johann
1
2002
Recurrences for some sequences of binomial sums. Zbl 1050.05009
Cigler, J.
1
2001
\(q\)-Catalan and \(q\)-Motzkin numbers. Zbl 1003.05010
Cigler, J.
5
1999
A characterisation of the \(q\)-exponential polynomials. Zbl 1023.33011
Cigler, J.
4
1999
Operator method for \(q\)-identities. VII: \(q\)-Catalan determinants. Zbl 1003.05005
Cigler, J.
2
1999
Operator methods for \(q\)-identities. V: \(q\)-Catalan trees. Zbl 0883.05005
Cigler, J.
1
1997
Operator methods for \(q\)-identities. IV: A class of Gould \(q\)-polynomials. Zbl 0880.05007
Cigler, J.
1
1997
A new \(q\)-analog of Stirling numbers. Zbl 0807.05003
Cigler, J.
4
1992
Fundamental concepts of mathematics. Zbl 0925.00004
Cigler, Johann
2
1992
On the number of generating sets in finite vector spaces. Zbl 0777.15002
Cigler, J.
1
1992
Some remarks on Catalan families. Zbl 0641.05003
Cigler, J.
5
1987
Operatormethoden für q-Identitäten II: q-Laguerre-Polynome. Zbl 0447.05008
Cigler, Johann
11
1981
Elementary \(q\)-identities. Zbl 0977.11501
Cigler, Johann
1
1981
Operatormethoden für q-Identitäten. III: Umbrale Inversion und die Lagrangesche Formel. Zbl 0458.05012
Cigler, J.
7
1980
Operatormethoden für q-identitäten. Zbl 0424.05007
Cigler, J.
40
1979
Banach modules and functors on categories of Banach spaces. Zbl 0411.46044
Cigler, Johann; Losert, Viktor; Michor, Peter
32
1979
A note on a paper by L. Carlitz. Zbl 0409.33015
Cigler, J.
1
1979
Some remarks on Rota’s umbral calculus. Zbl 0379.33010
Cigler, J.
12
1978
Topologie. Eine Grundvorlesung. Zbl 0397.54001
Cigler, Johann; Reichel, Hans-Christian
2
1978
Tensor products of functors on categories of Banach spaces. Zbl 0333.46047
Cigler, J.
3
1976
Zur Dualität von Funktoren, die durch Funktionenräume definiert sind. Zbl 0337.46059
Cigler, J.
1
1976
Funktoren auf Kategorien von Banachräumen. Zbl 0277.46061
Cigler, J.
5
1974
Well-distributed sequences. Zbl 0218.10068
Cigler, J.
1
1971
Normed ideals in \(L^ 1(G)\). Zbl 0176.44703
Cigler, J.
8
1969
On a theorem of H. Weyl. Zbl 0184.07502
Cigler, J.
1
1969
Some remarks on the distribution mod 1 of tempered sequences. Zbl 0167.32102
Cigler, J.
4
1968
Invariant \(\sigma\)-algebras on locally compact Abelian groups. Zbl 0186.46403
Cigler, J.
1
1967
A characterization of well-distributed sequences. Zbl 0139.27801
Cigler, J.
4
1966
The fundamental theorem of van der Corput on uniform distribution and its generalizations. Zbl 0147.37102
Cigler, J.
5
1964
Methods of summability and uniform distribution mod 1. Zbl 0135.10901
Cigler, J.
4
1964
Über die Summe Markovscher Ketten auf endlichen Gruppen. Zbl 0134.14203
Cigler, J.; Schmetterer, L.
3
1964
Über die Grenzverteilung von Summen Markovscher Ketten auf endlichen Gruppen. I, II. Zbl 0117.35701
Cigler, J.
5
1963
Über die Häufigkeit von Zahlenfolgen mit gegebener Verteilungsfunktion. Zbl 0114.26601
Cigler, J.; Volkmann, B.
1
1963
Folgen normierter Maße auf kompakten Gruppen. Zbl 0109.10702
Cigler, J.
11
1962
Über eine Verallgemeinerung des Hauptsatzes der Theorie der Gleichverteilung. Zbl 0117.28402
Cigler, J.
9
1962
Neuere Entwicklungen der Theorie der Gleichverteilung. Zbl 0109.03404
Cigler, J.; Helmberg, G.
39
1961
Ziffernverteilung in \(\vartheta\)-adischen Brüchen. Zbl 0215.35703
Cigler, J.
11
1961
Ein gruppentheoretisches Analogon zum Begriff der normalen Zahl. Zbl 0103.01902
Cigler, Johann
4
1961
Der individuelle Ergodensatz in der Theorie der Gleichverteilung mod 1. Zbl 0131.29301
Cigler, Johann
14
1960
Asymptotische Verteilung reeller Zahlen mod 1. Zbl 0111.25301
Cigler, J.
9
1960
all top 5

Cited by 269 Authors

19 Cigler, Johann
7 Krattenthaler, Christian Friedrich
6 Belbachir, Hacene
6 Mansour, Toufik
5 Rindler, Harald
5 Roman, Steven M.
4 Bergelson, Vitaly
4 Burnham, James T.
4 Helemskii, Alexander Ya.
4 Kim, Jang Soo
4 Philipp, Walter
3 Brini, Andrea
3 Ernst, Thomas
3 Feinsilver, Philip J.
3 Gerl, Peter
3 Helmberg, Gilbert
3 Kirschenhofer, Peter
3 Kleisli, Heinrich
3 Levin, Mordekhaĭ Borisovich
3 Niederreiter, Harald
3 Park, Hee Sook
3 Schork, Matthias
3 Shattuck, Mark A.
3 Zeng, Jiang
2 Ahmia, Moussa
2 Barnabei, Marilena
2 Baron, Gerd
2 Bedürftig, Thomas
2 Benmezai, Athmane
2 Bonfiglioli, Andrea
2 Cao, Jian
2 Cheon, Gi-Sang
2 Corcino, Roberto Bagsarsa
2 Crann, Jason
2 Damaskinskij, E. V.
2 Fleischer, Wilhelm
2 Frei, Armin
2 Goyt, Adam M.
2 Grosser, Michael
2 Guo, Victor J. W.
2 Hlawka, Edmund
2 Hofbauer, Josef
2 Jung, Ji-Hwan
2 Katriel, Jacob
2 Kemperman, Johannes Henricus Bernardus
2 Loeb, Daniel E.
2 Michor, Peter Wolfram
2 Moreira, Joel
2 Neufang, Matthias
2 Nicoletti, Giorgio
2 Niu, Dawei
2 Paule, Peter
2 Prodinger, Helmut
2 Rota, Gian-Carlo
2 Sagan, Bruce Eli
2 Schmetterer, Leopold
2 Schnabl, Roman
2 Sigmund, Karl
2 Smorodinsky, Meir
2 Stanković, Miomir S.
2 Stanley, Richard Peter
2 Stanton, Dennis W.
2 Tichy, Robert Franz
2 Wolff, Manfred
2 Xin, Guoce
1 Abbad, Sadjia
1 Abbasbandy, Saeid
1 Abdel-Gawad, Hamdy Ibrahim
1 Achilles, Rüdiger
1 Alaghmandan, Mahmood
1 Albayrak, Durmuş
1 Aldailami, A. A.
1 Aldwoah, Khaled A.
1 Amdeberhan, Tewodros
1 Amini, Massoud
1 Amrouche, Said
1 Annaby, Mahmoud H.
1 Aristov, Oleg Yu.
1 Barja Perez, J. M.
1 Batkhin, Alexandr B.
1 Bearden, Alex
1 Benouaret, Chahrazed
1 Bent-Usman, Wardah Masanggila
1 Benzaghou, Benali
1 Berg, I. David
1 Bertrand-Mathis, Anne
1 Bertrandias, Francoise
1 Bertrandias, Jean-Paul
1 Bessenrodt, Christine
1 Bomze, Immanuel M.
1 Borzov, Vadim V.
1 Brunner, Norbert
1 Bühler, Theo
1 Bukhvalov, Alexander V.
1 Cameron, Naiomi T.
1 Cantallopez, Ednelyn R.
1 Carroll, Robert L.
1 Chammam, Wathek
1 Chen, Xi
1 Chuang, Chen-Lian
...and 169 more Authors
all top 5

Cited in 95 Serials

27 Monatshefte für Mathematik
18 Compositio Mathematica
14 Journal of Mathematical Analysis and Applications
11 Discrete Mathematics
11 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
8 Journal of Combinatorial Theory. Series A
8 Mathematische Zeitschrift
7 Manuscripta Mathematica
7 Advances in Applied Mathematics
6 Advances in Mathematics
6 Applied Mathematics and Computation
6 Archiv der Mathematik
6 Linear Algebra and its Applications
5 Journal of Functional Analysis
5 Journal of Pure and Applied Algebra
5 Proceedings of the American Mathematical Society
5 European Journal of Combinatorics
5 Journal of Difference Equations and Applications
4 Cahiers de Topologie et Géométrie Différentielle Catégoriques
3 Israel Journal of Mathematics
3 Mathematische Semesterberichte
3 Journal of Number Theory
3 Transactions of the American Mathematical Society
3 International Journal of Number Theory
3 Bulletin de la Société Mathématique de France. Supplément. Mémoires
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Periodica Mathematica Hungarica
2 Journal of Soviet Mathematics
2 Indagationes Mathematicae. New Series
2 Journal de Théorie des Nombres de Bordeaux
2 Turkish Journal of Mathematics
2 The Ramanujan Journal
2 Proceedings of the Japan Academy
2 Afrika Matematika
1 American Mathematical Monthly
1 Applicable Analysis
1 Communications in Algebra
1 Discrete Applied Mathematics
1 Journal of Statistical Physics
1 Mathematical Notes
1 Theoretical and Mathematical Physics
1 Chaos, Solitons and Fractals
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Computing
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of the Korean Mathematical Society
1 Journal of Optimization Theory and Applications
1 Journal of Statistical Planning and Inference
1 Mathematische Annalen
1 Mathematica Slovaca
1 Mathematical Systems Theory
1 Memoirs of the American Mathematical Society
1 Programming and Computer Software
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Rendiconti del Seminario Matematico della Università di Padova
1 Ergodic Theory and Dynamical Systems
1 Bulletin of the Korean Mathematical Society
1 Acta Applicandae Mathematicae
1 Forum Mathematicum
1 International Journal of Mathematics
1 IMRN. International Mathematics Research Notices
1 Aequationes Mathematicae
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Applied Mathematical Modelling
1 Expositiones Mathematicae
1 Journal of Algebraic Combinatorics
1 Applied Categorical Structures
1 Russian Journal of Mathematical Physics
1 Advances in Applied Clifford Algebras
1 Integral Transforms and Special Functions
1 Theory and Applications of Categories
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 Séminaire Lotharingien de Combinatoire
1 Abstract and Applied Analysis
1 Honam Mathematical Journal
1 Annals of Combinatorics
1 Journal of Integer Sequences
1 Communications of the Korean Mathematical Society
1 Journal of Nonlinear Mathematical Physics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 JP Journal of Algebra, Number Theory and Applications
1 Journal of Algebra and its Applications
1 Complex Analysis and Operator Theory
1 Electronic Research Announcements in Mathematical Sciences
1 Journal of Nonlinear Science and Applications
1 Discrete Mathematics, Algorithms and Applications
1 Advances in Mathematical Physics
1 Kyoto Journal of Mathematics
1 Analysis and Mathematical Physics
1 Mathematical Sciences
1 Special Matrices
all top 5

Cited in 43 Fields

90 Combinatorics (05-XX)
86 Number theory (11-XX)
37 Functional analysis (46-XX)
36 Special functions (33-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
14 Measure and integration (28-XX)
14 Abstract harmonic analysis (43-XX)
13 Category theory; homological algebra (18-XX)
12 Topological groups, Lie groups (22-XX)
12 Operator theory (47-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
9 Associative rings and algebras (16-XX)
9 Probability theory and stochastic processes (60-XX)
8 Difference and functional equations (39-XX)
8 Quantum theory (81-XX)
7 Nonassociative rings and algebras (17-XX)
7 Dynamical systems and ergodic theory (37-XX)
5 Sequences, series, summability (40-XX)
3 Mathematical logic and foundations (03-XX)
3 Field theory and polynomials (12-XX)
3 Commutative algebra (13-XX)
3 Functions of a complex variable (30-XX)
3 Partial differential equations (35-XX)
3 Integral transforms, operational calculus (44-XX)
3 Algebraic topology (55-XX)
3 Computer science (68-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Real functions (26-XX)
2 Approximations and expansions (41-XX)
2 Convex and discrete geometry (52-XX)
2 Numerical analysis (65-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 \(K\)-theory (19-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Ordinary differential equations (34-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

Citations by Year

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