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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 · Wikidata · Google Scholar · MathOverflow · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 123 Publications since 1960, including 10 Books and 53 Additional arXiv Preprints
Reviewing Activity: 191 Reviews
Co-Authors: 9 Co-Authors with 11 Joint Publications
308 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 412 times in 324 Documents Cited by Year
Operatormethoden für q-identitäten. Zbl 0424.05007
Cigler, J.
52
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
36
1979
A new class of \(q\)-Fibonacci polynomials. Zbl 1027.05006
Cigler, Johann
21
2003
\(q\)-Fibonacci polynomials. Zbl 1027.11011
Cigler, Johann
16
2003
Some determinants of path generating functions. Zbl 1227.05067
Cigler, J.; Krattenthaler, C.
16
2011
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.
14
1978
Operatormethoden für q-Identitäten II: q-Laguerre-Polynome. Zbl 0447.05008
Cigler, Johann
14
1981
A curious \(q\)-analogue of Hermite polynomials. Zbl 1232.33012
Cigler, Johann; Zeng, Jiang
11
2011
Folgen normierter Maße auf kompakten Gruppen. Zbl 0109.10702
Cigler, J.
11
1962
Asymptotische Verteilung reeller Zahlen mod 1. Zbl 0111.25301
Cigler, J.
11
1960
Ziffernverteilung in \(\vartheta\)-adischen Brüchen. Zbl 0215.35703
Cigler, J.
11
1961
Über eine Verallgemeinerung des Hauptsatzes der Theorie der Gleichverteilung. Zbl 0117.28402
Cigler, Johann
10
1962
Normed ideals in \(L^ 1(G)\). Zbl 0176.44703
Cigler, J.
10
1969
Some remarks on Catalan families. Zbl 0641.05003
Cigler, J.
9
1987
\(q\)-Fibonacci polynomials and the Rogers-Ramanujan identities. Zbl 1161.11308
Cigler, Johann
8
2004
Operatormethoden für q-Identitäten. III: Umbrale Inversion und die Lagrangesche Formel. Zbl 0458.05012
Cigler, J.
8
1980
Some relations between generalized Fibonacci and Catalan numbers. Zbl 1080.05502
Cigler, Johann
7
2002
Topologie. Eine Grundvorlesung. Zbl 0397.54001
Cigler, Johann; Reichel, Hans-Christian
7
1978
Some algebraic aspects of Morse code sequences. Zbl 1153.05302
Cigler, Johann
6
2003
A characterisation of the \(q\)-exponential polynomials. (Eine Charakterisierung der \(q\)-Exponentialpolynome.) Zbl 1023.33011
Cigler, J.
6
1999
\(q\)-Catalan and \(q\)-Motzkin numbers. (\(q\)-Catalan- und \(q\)-Motzkinzahlen.) Zbl 1003.05010
Cigler, J.
6
1999
The fundamental theorem of van der Corput on uniform distribution and its generalizations. Zbl 0147.37102
Cigler, J.
6
1964
A new \(q\)-analog of Stirling numbers. Zbl 0807.05003
Cigler, J.
5
1992
Methods of summability and uniform distribution mod 1. Zbl 0135.10901
Cigler, J.
5
1964
Über die Grenzverteilung von Summen Markovscher Ketten auf endlichen Gruppen. I, II. Zbl 0117.35701
Cigler, J.
5
1963
Funktoren auf Kategorien von Banachräumen. Zbl 0277.46061
Cigler, J.
5
1974
Ein gruppentheoretisches Analogon zum Begriff der normalen Zahl. Zbl 0103.01902
Cigler, Johann
4
1961
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
Über die Summe Markovscher Ketten auf endlichen Gruppen. Zbl 0134.14203
Cigler, J.; Schmetterer, L.
4
1964
Tensor products of functors on categories of Banach spaces. Zbl 0333.46047
Cigler, J.
4
1976
Operator method for \(q\)-identities. VII: \(q\)-Catalan determinants. (Operatormethoden für \(q\)-Identitäten. VII: \(q\)-Catalan-Determinanten.) Zbl 1003.05005
Cigler, J.
3
1999
Fundamental concepts of mathematics. (Grundideen der Mathematik.) Zbl 0925.00004
Cigler, Johann
2
1992
Recurrences for some sequences of binomial sums. Zbl 1050.05009
Cigler, J.
2
2001
On a theorem of H. Weyl. Zbl 0184.07502
Cigler, J.
2
1969
A note on a paper by L. Carlitz. Zbl 0409.33015
Cigler, J.
2
1979
Operator methods for \(q\)-identities. V: \(q\)-Catalan trees. (Operatormethoden für \(q\)-Identitäten. V: \(q\)-Catalan-Bäume.) Zbl 0883.05005
Cigler, J.
2
1997
Some \(q\)-analogues of Lucas and Fibonacci polynomials. (Einige \(q\)-Analoga der Lucas- und Fibonacci-Polynome.) Zbl 1083.11013
Cigler, Johann
1
2002
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
Hankel determinants of linear combinations of moments of orthogonal polynomials. Zbl 1471.11119
Cigler, Johann; Krattenthaler, Christian Friedrich
1
2021
On the number of generating sets in finite vector spaces. (Über die Anzahl erzeugender Mengen in endlichen Vektorräumen.) Zbl 0777.15002
Cigler, J.
1
1992
A class of Rogers-Ramanujan type recursions. Zbl 1114.05010
Cigler, Johann
1
2004
Zur Dualität von Funktoren, die durch Funktionenräume definiert sind. Zbl 0337.46059
Cigler, J.
1
1976
Über die Häufigkeit von Zahlenfolgen mit gegebener Verteilungsfunktion. Zbl 0114.26601
Cigler, J.; Volkmann, B.
1
1963
Well-distributed sequences. Zbl 0218.10068
Cigler, J.
1
1971
Invariant \(\sigma\)-algebras on locally compact Abelian groups. Zbl 0186.46403
Cigler, J.
1
1967
Operator methods for \(q\)-identities. IV: A class of Gould \(q\)-polynomials. (Operatormethoden für \(q\)-Identitäten. IV: Eine Klasse von \(q\)-Gould-Polynomen.) Zbl 0880.05007
Cigler, J.
1
1997
Hankel determinants of linear combinations of moments of orthogonal polynomials. Zbl 1471.11119
Cigler, Johann; Krattenthaler, Christian Friedrich
1
2021
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.
16
2011
A curious \(q\)-analogue of Hermite polynomials. Zbl 1232.33012
Cigler, Johann; Zeng, Jiang
11
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
21
2003
\(q\)-Fibonacci polynomials. Zbl 1027.11011
Cigler, Johann
16
2003
Some algebraic aspects of Morse code sequences. Zbl 1153.05302
Cigler, Johann
6
2003
Some relations between generalized Fibonacci and Catalan numbers. Zbl 1080.05502
Cigler, Johann
7
2002
Some \(q\)-analogues of Lucas and Fibonacci polynomials. (Einige \(q\)-Analoga der Lucas- und Fibonacci-Polynome.) Zbl 1083.11013
Cigler, Johann
1
2002
Recurrences for some sequences of binomial sums. Zbl 1050.05009
Cigler, J.
2
2001
A characterisation of the \(q\)-exponential polynomials. (Eine Charakterisierung der \(q\)-Exponentialpolynome.) Zbl 1023.33011
Cigler, J.
6
1999
\(q\)-Catalan and \(q\)-Motzkin numbers. (\(q\)-Catalan- und \(q\)-Motzkinzahlen.) Zbl 1003.05010
Cigler, J.
6
1999
Operator method for \(q\)-identities. VII: \(q\)-Catalan determinants. (Operatormethoden für \(q\)-Identitäten. VII: \(q\)-Catalan-Determinanten.) Zbl 1003.05005
Cigler, J.
3
1999
Operator methods for \(q\)-identities. V: \(q\)-Catalan trees. (Operatormethoden für \(q\)-Identitäten. V: \(q\)-Catalan-Bäume.) Zbl 0883.05005
Cigler, J.
2
1997
Operator methods for \(q\)-identities. IV: A class of Gould \(q\)-polynomials. (Operatormethoden für \(q\)-Identitäten. IV: Eine Klasse von \(q\)-Gould-Polynomen.) Zbl 0880.05007
Cigler, J.
1
1997
A new \(q\)-analog of Stirling numbers. Zbl 0807.05003
Cigler, J.
5
1992
Fundamental concepts of mathematics. (Grundideen der Mathematik.) Zbl 0925.00004
Cigler, Johann
2
1992
On the number of generating sets in finite vector spaces. (Über die Anzahl erzeugender Mengen in endlichen Vektorräumen.) Zbl 0777.15002
Cigler, J.
1
1992
Some remarks on Catalan families. Zbl 0641.05003
Cigler, J.
9
1987
Operatormethoden für q-Identitäten II: q-Laguerre-Polynome. Zbl 0447.05008
Cigler, Johann
14
1981
Operatormethoden für q-Identitäten. III: Umbrale Inversion und die Lagrangesche Formel. Zbl 0458.05012
Cigler, J.
8
1980
Operatormethoden für q-identitäten. Zbl 0424.05007
Cigler, J.
52
1979
Banach modules and functors on categories of Banach spaces. Zbl 0411.46044
Cigler, Johann; Losert, Viktor; Michor, Peter
36
1979
A note on a paper by L. Carlitz. Zbl 0409.33015
Cigler, J.
2
1979
Some remarks on Rota’s umbral calculus. Zbl 0379.33010
Cigler, J.
14
1978
Topologie. Eine Grundvorlesung. Zbl 0397.54001
Cigler, Johann; Reichel, Hans-Christian
7
1978
Tensor products of functors on categories of Banach spaces. Zbl 0333.46047
Cigler, J.
4
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.
10
1969
On a theorem of H. Weyl. Zbl 0184.07502
Cigler, J.
2
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.
6
1964
Methods of summability and uniform distribution mod 1. Zbl 0135.10901
Cigler, J.
5
1964
Über die Summe Markovscher Ketten auf endlichen Gruppen. Zbl 0134.14203
Cigler, J.; Schmetterer, L.
4
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, Johann
10
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.
11
1960
all top 5

Cited by 350 Authors

19 Cigler, Johann
8 Belbachir, Hacene
8 Krattenthaler, Christian Friedrich
7 Mansour, Toufik
5 Bosi, Gianni
5 Rindler, Harald
5 Roman, Steven M.
4 Basu-Mallick, Bireswar
4 Bergelson, Vitaly
4 Burnham, James T.
4 Finkel, Federico
4 González-López, Artemio
4 Khelemskiĭ, Aleksandr Yakovlevich
4 Kim, Jang Soo
4 Philipp, Walter
4 Schork, Matthias
4 Shattuck, Mark A.
3 Benmezai, Athmane
3 Brini, Andrea
3 Cao, Jian
3 Crann, Jason
3 Ernst, Thomas
3 Feinsilver, Philip J.
3 Gerl, Peter
3 Guo, Victor J. W.
3 Helmberg, Gilbert
3 Hlawka, Edmund
3 Kirschenhofer, Peter
3 Kleisli, Heinrich
3 Levin, Mordekhaĭ Borisovich
3 Niederreiter, Harald
3 Niu, Dawei
3 Park, Hee Sook
3 Sigmund, Karl
3 Simsek, Yilmaz
3 Zeng, Jiang
3 Zuanon, Magalì E.
2 Ahmia, Moussa
2 Amrouche, Said
2 Banerjee, Pratyay
2 Barnabei, Marilena
2 Baron, Gerd
2 Bedürftig, Thomas
2 Berger, Arno
2 Bondyopadhaya, Nilanjan
2 Bonfiglioli, Andrea
2 Chang, Xiangke
2 Cheon, Gi-Sang
2 Corcino, Roberto Bagsarsa
2 Datta, Chandan
2 Dilcher, Karl
2 Egecioglu, Omer
2 Enciso, Alberto
2 Eu, Sen-Peng
2 Fleischer, Wilhelm
2 Frei, Armin
2 Fu, Tung-Shan
2 Goyt, Adam M.
2 Grosser, Michael
2 Hu, Xingbiao
2 Jiu, Lin
2 Jung, Ji-Hwan
2 Katriel, Jacob
2 Kemperman, Johannes Henricus Bernardus
2 Kwaśniewski, Andrzej Krzysztof
2 Loeb, Daniel E.
2 Michor, Peter Wolfram
2 Moreira, Joel
2 Neufang, Matthias
2 Nicoletti, Giorgio
2 Paule, Peter
2 Prodinger, Helmut
2 Rota, Gian-Carlo
2 Sagan, Bruce Eli
2 Schlosser, Michael J.
2 Schmetterer, Leopold
2 Schnabl, Roman
2 Smorodinsky, Meir
2 Stanković, Miomir S.
2 Stanley, Richard Peter
2 Stanton, Dennis W.
2 Tichy, Robert Franz
2 Wang, Ying
2 Wolff, Manfred
2 Xin, Guoce
2 Yaqubi, Daniel
2 Zhu, Baoxuan
1 Abbad, Sadjia
1 Abbasbandy, Saeid
1 Abdel-Gawad, Hamdy Ibrahim
1 Achilles, Rüdiger
1 Alaghmandan, Mahmood
1 Albayrak, Durmuş
1 Aldailami, Ali A.
1 Aldwoah, Khaled A.
1 Amdeberhan, Tewodros
1 Amini, Massoud
1 Andrews, George Eyre
1 Annaby, Mahmoud H.
1 Apostolakis, Nikos
...and 250 more Authors
all top 5

Cited in 122 Serials

28 Monatshefte für Mathematik
18 Compositio Mathematica
17 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
8 Advances in Applied Mathematics
7 Manuscripta Mathematica
7 European Journal of Combinatorics
7 Linear Algebra and its Applications
6 Advances in Mathematics
6 Applied Mathematics and Computation
6 Archiv der Mathematik
6 Journal of Functional Analysis
6 Journal of Difference Equations and Applications
5 Nuclear Physics. B
5 Journal of Pure and Applied Algebra
5 Proceedings of the American Mathematical Society
4 Cahiers de Topologie et Géométrie Différentielle Catégoriques
4 The Ramanujan Journal
4 International Journal of Number Theory
3 Israel Journal of Mathematics
3 Mathematische Semesterberichte
3 Journal of Number Theory
3 Transactions of the American Mathematical Society
3 Turkish Journal of Mathematics
3 The Electronic Journal of Combinatorics
3 Journal of Integer Sequences
3 Bulletin de la Société Mathématique de France. Supplément. Mémoires
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Periodica Mathematica Hungarica
2 Journal of Optimization Theory and Applications
2 Journal of Soviet Mathematics
2 Memoirs of the American Mathematical Society
2 Aequationes Mathematicae
2 Indagationes Mathematicae. New Series
2 Journal de Théorie des Nombres de Bordeaux
2 Filomat
2 Theory and Applications of Categories
2 Annals of Combinatorics
2 Proceedings of the Japan Academy
2 Applicable Analysis and Discrete Mathematics
2 Uniform Distribution Theory
2 Afrika Matematika
2 Enumerative Combinatorics and Applications
1 American Mathematical Monthly
1 Applicable Analysis
1 Communications in Algebra
1 Discrete Applied Mathematics
1 Journal of Statistical Physics
1 Reports on Mathematical Physics
1 Theoretical and Mathematical Physics
1 Chaos, Solitons and Fractals
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Computing
1 Czechoslovak Mathematical Journal
1 The Fibonacci Quarterly
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal of the Korean Mathematical Society
1 Journal of Mathematical Economics
1 Journal of Statistical Planning and Inference
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Mathematical Systems Theory
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 Bulletin of the Iranian Mathematical Society
1 Order
1 Extracta Mathematicae
1 Forum Mathematicum
1 International Journal of Mathematics
1 IMRN. International Mathematics Research Notices
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
1 Annals of Physics
1 Applied Mathematical Modelling
1 SIAM Journal on Mathematical Analysis
1 Expositiones Mathematicae
1 Journal of Algebraic Combinatorics
1 Applied Categorical Structures
1 Russian Journal of Mathematical Physics
1 Journal of Mathematical Sciences (New York)
1 Advances in Applied Clifford Algebras
1 Integral Transforms and Special Functions
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 Séminaire Lotharingien de Combinatoire
1 Mathematical Communications
1 Abstract and Applied Analysis
1 Honam Mathematical Journal
...and 22 more Serials
all top 5

Cited in 45 Fields

123 Combinatorics (05-XX)
117 Number theory (11-XX)
48 Special functions (33-XX)
44 Functional analysis (46-XX)
26 Linear and multilinear algebra; matrix theory (15-XX)
19 Abstract harmonic analysis (43-XX)
16 Category theory; homological algebra (18-XX)
16 Measure and integration (28-XX)
14 Topological groups, Lie groups (22-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
13 Quantum theory (81-XX)
12 Associative rings and algebras (16-XX)
12 Operator theory (47-XX)
12 Probability theory and stochastic processes (60-XX)
10 Difference and functional equations (39-XX)
9 Dynamical systems and ergodic theory (37-XX)
7 Nonassociative rings and algebras (17-XX)
7 Sequences, series, summability (40-XX)
7 Statistical mechanics, structure of matter (82-XX)
5 Mathematical logic and foundations (03-XX)
5 Integral transforms, operational calculus (44-XX)
5 Computer science (68-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Commutative algebra (13-XX)
4 Functions of a complex variable (30-XX)
4 Partial differential equations (35-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Field theory and polynomials (12-XX)
3 Real functions (26-XX)
3 Approximations and expansions (41-XX)
3 General topology (54-XX)
3 Algebraic topology (55-XX)
2 History and biography (01-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Convex and discrete geometry (52-XX)
2 Differential geometry (53-XX)
2 Numerical analysis (65-XX)
1 Algebraic geometry (14-XX)
1 \(K\)-theory (19-XX)
1 Ordinary differential equations (34-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

Citations by Year

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