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Lidl, Rudolf

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Author ID: lidl.rudolf Recent zbMATH articles by "Lidl, Rudolf"
Published as: Lidl, R.; Lidl, Rudolf
External Links: MGP · Wikidata · GND
Documents Indexed: 62 Publications since 1971, including 16 Books

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 2,141 times in 1,854 Documents Cited by Year
Finite fields. Foreword by P. M. Cohn. Zbl 0554.12010
Lidl, Rudolf; Niederreiter, Harald
600
1983
Finite fields. Paperback reprint of the hardback 2nd edition 1996. Zbl 1139.11053
Lidl, Rudolf; Niederreiter, Harald
434
2008
Finite fields. 2nd ed. Zbl 0866.11069
Lidl, Rudolf; Niederreiter, Harald
248
1996
Introduction to finite fields and their applications. Zbl 0629.12016
Lidl, Rudolf; Niederreiter, Harald
203
1986
Introduction to finite fields and their applications. rev. ed. Zbl 0820.11072
Lidl, Rudolf; Niederreiter, Harald
179
1994
Dickson polynomials. Zbl 0823.11070
Lidl, R.; Mullen, G. L.; Turnwald, G.
92
1993
Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure. Zbl 0737.11040
Wan, Daqing; Lidl, Rudolf
58
1991
When does a polynomial over a finite field permute the elements of the field? Zbl 0653.12010
Lidl, Rudolf; Mullen, Gary L.
51
1988
Finite fields and their applications. Zbl 0864.11063
Lidl, Rudolf; Niederreiter, Harald
47
1996
When does a polynomial over a finite field permute the elements of the field? II. Zbl 0777.11054
Lidl, Rudolf; Mullen, Gary L.
32
1993
On cryptosystems based on polynomials and finite fields. Zbl 0596.94017
Lidl, R.
25
1985
Finite fields. Vol. 1. 2. (Konechnye polya. Tom 1. 2). Transl. from the English by A. E. Zhukov and V. I. Petrov. Transl. ed. by V. I. Nechaev. Zbl 0666.12016
Lidl, Rudolf; Niederreiter, Harald
24
1988
Tschebyscheffpolynome in mehreren Variablen. Zbl 0298.33009
Lidl, Rudolf
16
1975
Chebyshev polynomials in several variables. Zbl 0238.12009
Lidl, R.; Wells, Ch.
14
1972
Applied abstract algebra. 2nd ed. Zbl 0891.00003
Lidl, Rudolf; Pilz, Günter
12
1998
Cycle structure of Dickson permutation polynomials. Zbl 0759.11044
Lidl, Rudolf; Mullen, Gary L.
11
1991
Applied abstract algebra. Zbl 0572.00001
Lidl, Rudolf; Pilz, Günter
11
1984
Generalizations of the classical Chebyshev polynomials to polynomials in two variables. Zbl 0511.33008
Dunn, Ken B.; Lidl, Rudolf
8
1982
Multi-dimensional generalizations of the Chebyshev polynomials. I. Zbl 0452.33013
Dunn, K. B.; Lidl, R.
8
1980
A note on polynomials and functions in algebraic cryptography. Zbl 0539.94018
Lidl, R.; Müller, W. B.
6
1984
A class of orthogonal polynomials in \(k\) variables. Zbl 0474.33009
Eier, Richard; Lidl, Rudolf
6
1982
Generalizations of the Fibonacci pseudoprimes test. Zbl 0749.11013
Lidl, Rudolf; Müller, Winfried B.
4
1991
Some remarks on strong Fibonacci pseudoprimes. Zbl 0726.11002
Lidl, Rudolf; Müller, Winfried B.; Oswald, Alan
4
1990
Differential equations for generalized Chebyshev polynomials. Zbl 0487.33009
Eier, Richard; Lidl, Rudolf; Dunn, Ken B.
4
1981
Multi-dimensional generalizations of the Chebyshev polynomials. II. Zbl 0452.33014
Dunn, K. B.; Lidl, R.
4
1980
Tschebyscheffpolynome in einer und zwei Variablen. Zbl 0289.33028
Eier, R.; Lidl, R.
4
1974
On orthogonal systems and permutation polynomials in several variables. Zbl 0261.12012
Lidl, Rudolf; Niederreiter, Harald
4
1973
Computational problems in the theory of finite fields. Zbl 0745.11056
Lidl, Rudolf
3
1991
GALOIS: An algebra microcomputer package. Zbl 0668.68038
Lidl, R.; Matthews, R. W.
3
1988
GALOIS algebra package. User’s manual. Zbl 0672.10002
Lidl, R.; Matthews, R. W.; Wells, R.
3
1987
Über Permutationsfunktionen in mehreren Unbestimmten. (On permutation functions in several variables). Zbl 0211.06802
Lidl, Rudolf
3
1972
Primality testing with Lucas functions. Zbl 0871.11093
Lidl, Rudolf; Müller, Winfried B.
2
1993
Theory and applications of Dickson polynomials. Zbl 0857.11006
Lidl, Rudolf
2
1993
Permutation polynomials on matrices. Zbl 0642.13007
James, N. S.; Lidl, R.
2
1987
On Dickson polynomials and Rédei functions. Zbl 0631.12009
Fried, M.; Lidl, R.
2
1987
Erweiterungs- and Redeipolynomvollständigkeit universaler Algebra. Zbl 0354.08012
Kaiser, H. K.; Lidl, R.
2
1975
Tschebyscheffpolynome und die dadurch dargestellten Gruppen. Zbl 0257.12011
Lidl, Rudolf
2
1973
Über Permutationspolynome in mehreren Unbestimmten. (On permutation polynomials in several variables). Zbl 0234.12006
Lidl, Rudolf
2
1971
A note on strong Fibonacci pseudoprimes. Zbl 0726.11003
Lidl, Rudolf; Müller, Winfried B.
1
1990
On commutative semigroups of polynomials with respect to composition. Zbl 0593.13006
Lidl, Rudolf; Müller, Winfried B.
1
1986
Commuting polynomial vectors over an integral domain. Zbl 0546.13013
Lidl, Rudolf; Mullen, Gary L.
1
1986
Ringtheorie und Anwendungen. Grundlagen und Anwendungsbeispiele in der Kodierungstheorie und in der Genetik. Zbl 0495.16001
Lidl, R.; Wiesenbauer, J.
1
1980
Die Polynomlösungen spezieller partieller Differentialgleichungen. Zbl 0364.33013
Kaiser, H. K.; Lidl, R.
1
1976
Über die Darstellung von Permutationen durch Polynome. Zbl 0239.12013
Lidl, Rudolf
1
1972
Finite fields. Paperback reprint of the hardback 2nd edition 1996. Zbl 1139.11053
Lidl, Rudolf; Niederreiter, Harald
434
2008
Applied abstract algebra. 2nd ed. Zbl 0891.00003
Lidl, Rudolf; Pilz, Günter
12
1998
Finite fields. 2nd ed. Zbl 0866.11069
Lidl, Rudolf; Niederreiter, Harald
248
1996
Finite fields and their applications. Zbl 0864.11063
Lidl, Rudolf; Niederreiter, Harald
47
1996
Introduction to finite fields and their applications. rev. ed. Zbl 0820.11072
Lidl, Rudolf; Niederreiter, Harald
179
1994
Dickson polynomials. Zbl 0823.11070
Lidl, R.; Mullen, G. L.; Turnwald, G.
92
1993
When does a polynomial over a finite field permute the elements of the field? II. Zbl 0777.11054
Lidl, Rudolf; Mullen, Gary L.
32
1993
Primality testing with Lucas functions. Zbl 0871.11093
Lidl, Rudolf; Müller, Winfried B.
2
1993
Theory and applications of Dickson polynomials. Zbl 0857.11006
Lidl, Rudolf
2
1993
Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure. Zbl 0737.11040
Wan, Daqing; Lidl, Rudolf
58
1991
Cycle structure of Dickson permutation polynomials. Zbl 0759.11044
Lidl, Rudolf; Mullen, Gary L.
11
1991
Generalizations of the Fibonacci pseudoprimes test. Zbl 0749.11013
Lidl, Rudolf; Müller, Winfried B.
4
1991
Computational problems in the theory of finite fields. Zbl 0745.11056
Lidl, Rudolf
3
1991
Some remarks on strong Fibonacci pseudoprimes. Zbl 0726.11002
Lidl, Rudolf; Müller, Winfried B.; Oswald, Alan
4
1990
A note on strong Fibonacci pseudoprimes. Zbl 0726.11003
Lidl, Rudolf; Müller, Winfried B.
1
1990
When does a polynomial over a finite field permute the elements of the field? Zbl 0653.12010
Lidl, Rudolf; Mullen, Gary L.
51
1988
Finite fields. Vol. 1. 2. (Konechnye polya. Tom 1. 2). Transl. from the English by A. E. Zhukov and V. I. Petrov. Transl. ed. by V. I. Nechaev. Zbl 0666.12016
Lidl, Rudolf; Niederreiter, Harald
24
1988
GALOIS: An algebra microcomputer package. Zbl 0668.68038
Lidl, R.; Matthews, R. W.
3
1988
GALOIS algebra package. User’s manual. Zbl 0672.10002
Lidl, R.; Matthews, R. W.; Wells, R.
3
1987
Permutation polynomials on matrices. Zbl 0642.13007
James, N. S.; Lidl, R.
2
1987
On Dickson polynomials and Rédei functions. Zbl 0631.12009
Fried, M.; Lidl, R.
2
1987
Introduction to finite fields and their applications. Zbl 0629.12016
Lidl, Rudolf; Niederreiter, Harald
203
1986
On commutative semigroups of polynomials with respect to composition. Zbl 0593.13006
Lidl, Rudolf; Müller, Winfried B.
1
1986
Commuting polynomial vectors over an integral domain. Zbl 0546.13013
Lidl, Rudolf; Mullen, Gary L.
1
1986
On cryptosystems based on polynomials and finite fields. Zbl 0596.94017
Lidl, R.
25
1985
Applied abstract algebra. Zbl 0572.00001
Lidl, Rudolf; Pilz, Günter
11
1984
A note on polynomials and functions in algebraic cryptography. Zbl 0539.94018
Lidl, R.; Müller, W. B.
6
1984
Finite fields. Foreword by P. M. Cohn. Zbl 0554.12010
Lidl, Rudolf; Niederreiter, Harald
600
1983
Generalizations of the classical Chebyshev polynomials to polynomials in two variables. Zbl 0511.33008
Dunn, Ken B.; Lidl, Rudolf
8
1982
A class of orthogonal polynomials in \(k\) variables. Zbl 0474.33009
Eier, Richard; Lidl, Rudolf
6
1982
Differential equations for generalized Chebyshev polynomials. Zbl 0487.33009
Eier, Richard; Lidl, Rudolf; Dunn, Ken B.
4
1981
Multi-dimensional generalizations of the Chebyshev polynomials. I. Zbl 0452.33013
Dunn, K. B.; Lidl, R.
8
1980
Multi-dimensional generalizations of the Chebyshev polynomials. II. Zbl 0452.33014
Dunn, K. B.; Lidl, R.
4
1980
Ringtheorie und Anwendungen. Grundlagen und Anwendungsbeispiele in der Kodierungstheorie und in der Genetik. Zbl 0495.16001
Lidl, R.; Wiesenbauer, J.
1
1980
Die Polynomlösungen spezieller partieller Differentialgleichungen. Zbl 0364.33013
Kaiser, H. K.; Lidl, R.
1
1976
Tschebyscheffpolynome in mehreren Variablen. Zbl 0298.33009
Lidl, Rudolf
16
1975
Erweiterungs- and Redeipolynomvollständigkeit universaler Algebra. Zbl 0354.08012
Kaiser, H. K.; Lidl, R.
2
1975
Tschebyscheffpolynome in einer und zwei Variablen. Zbl 0289.33028
Eier, R.; Lidl, R.
4
1974
On orthogonal systems and permutation polynomials in several variables. Zbl 0261.12012
Lidl, Rudolf; Niederreiter, Harald
4
1973
Tschebyscheffpolynome und die dadurch dargestellten Gruppen. Zbl 0257.12011
Lidl, Rudolf
2
1973
Chebyshev polynomials in several variables. Zbl 0238.12009
Lidl, R.; Wells, Ch.
14
1972
Über Permutationsfunktionen in mehreren Unbestimmten. (On permutation functions in several variables). Zbl 0211.06802
Lidl, Rudolf
3
1972
Über die Darstellung von Permutationen durch Polynome. Zbl 0239.12013
Lidl, Rudolf
1
1972
Über Permutationspolynome in mehreren Unbestimmten. (On permutation polynomials in several variables). Zbl 0234.12006
Lidl, Rudolf
2
1971
all top 5

Cited by 1,975 Authors

64 Shparlinski, Igor E.
50 Niederreiter, Harald
28 Yue, Qin
26 Cao, Xiwang
26 Zeng, Xiangyong
25 Hu, Lei
25 Winterhof, Arne
24 Helleseth, Tor
23 Wang, Qiang (Steven)
22 Panario, Daniel
19 Mullen, Gary L.
19 Özbudak, Ferruh
18 Cohen, Stephen D.
18 Hou, Xiang-Dong
18 Li, Chengju
17 Ding, Cunsheng
16 Meidl, Wilfried
15 Xiang, Qing
14 Coulter, Robert S.
14 Feng, Tao
14 Fu, Fangwei
14 Qi, Wenfeng
13 Eichenauer-Herrmann, Jürgen
13 Fúster-Sabater, Amparo
13 Lidl, Rudolf
13 Momihara, Koji
12 Du, Xiaoni
12 Liu, Hongwei
12 Reis, Lucas
12 von zur Gathen, Joachim
11 Koh, Doowon
11 Lin, Dongdai
11 Ostafe, Alina
10 Chen, Zhixiong
10 Gallardo, Luis Henri
10 Li, Nian
10 Tang, Chunming
10 Yuan, Pingzhi
9 Cao, Wei
9 Chen, Bocong
9 Gong, Guang
9 Li, Fengwei
9 Qu, Longjiang
9 Tu, Ziran
9 Wan, Daqing
9 Yang, Shudi
9 Zieve, Michael E.
8 Carlet, Claude
8 Chou, Wunseng
8 Feng, Keqin
8 Li, Chunlei
8 Luca, Florian
8 McGuire, Gary
8 Nechaev, Aleksandr Aleksandrovich
8 Vega, Gerardo
8 Wang, Qiuyan
8 Yucas, Joseph L.
8 Zheng, Dabin
7 Brawley, Joel Vincent jun.
7 Caballero-Gil, Pino
7 Gomez-Calderon, Javier
7 Gomez-Perez, Domingo
7 Kamlovskiĭ, Oleg Vital’evich
7 Ling, San
7 Mattarei, Sandro
7 Matthews, Rex W.
7 Moisio, Marko J.
7 Rahavandrainy, Olivier
7 Sarkar, Palash
7 Shiue, Peter Jau-Shyong
7 Sun, Qi
7 Tang, Xiaohu
7 Topuzoǧlu, Alev
7 Trombetti, Rocco
7 Xiao, Guozhen
7 Zhou, Zhengchun
6 Dick, Josef
6 Edemskiĭ, Vladimir Anatol’evich
6 Fitzgerald, Robert W.
6 Gao, Shuhong
6 Gutierrez, Jaime
6 Hachenberger, Dirk
6 Heng, Ziling
6 Iosevich, Alex
6 Kapetanakis, Giorgos
6 Klapper, Andrew M.
6 Klimov, Andrei B.
6 Küçüksakallı, Ömer
6 Laohakosol, Vichian
6 Laubenbacher, Reinhard C.
6 Le, Maohua
6 Li, Kangquan
6 Mesnager, Sihem
6 Pillichshammer, Friedrich
6 Polverino, Olga
6 Pott, Alexander
6 Ryan, John A.
6 Sárközy, András
6 Saygı, Zülfükar
6 Stevens, Brett
...and 1,875 more Authors
all top 5

Cited in 248 Serials

342 Finite Fields and their Applications
178 Designs, Codes and Cryptography
78 Applicable Algebra in Engineering, Communication and Computing
74 Discrete Mathematics
64 Cryptography and Communications
59 Journal of Number Theory
50 Mathematics of Computation
39 Linear Algebra and its Applications
35 Discrete Applied Mathematics
32 Theoretical Computer Science
31 Advances in Mathematics of Communications
30 Journal of Combinatorial Theory. Series A
30 Proceedings of the American Mathematical Society
26 Journal of Algebra
21 Information Processing Letters
21 European Journal of Combinatorics
17 Journal of Symbolic Computation
16 Journal of Pure and Applied Algebra
16 Monatshefte für Mathematik
16 Transactions of the American Mathematical Society
15 Journal of Complexity
15 Science China. Mathematics
11 Problems of Information Transmission
11 Information Sciences
11 Acta Applicandae Mathematicae
11 Journal of Mathematical Sciences (New York)
10 Israel Journal of Mathematics
10 Rocky Mountain Journal of Mathematics
10 Journal of Computational and Applied Mathematics
10 Journal of Algebraic Combinatorics
10 Journal de Théorie des Nombres de Bordeaux
10 Journal of Applied Mathematics and Computing
10 Prikladnaya Diskretnaya Matematika
9 Acta Arithmetica
9 Archiv der Mathematik
8 Bulletin of the Australian Mathematical Society
8 SIAM Journal on Discrete Mathematics
8 Discrete Mathematics and Applications
8 International Journal of Number Theory
7 Communications in Algebra
7 Applied Mathematics and Computation
7 Journal of Statistical Planning and Inference
7 Indagationes Mathematicae. New Series
6 Mathematical Notes
6 International Journal of Mathematics and Mathematical Sciences
6 Mathematische Zeitschrift
6 Journal of Cryptology
6 Acta Mathematica Sinica. English Series
6 Asian-European Journal of Mathematics
6 Journal of Algebra, Combinatorics, Discrete Structures and Applications
5 Computers & Mathematics with Applications
5 Journal of Mathematical Physics
5 Czechoslovak Mathematical Journal
5 Journal of Combinatorial Theory. Series B
5 Journal of Computer and System Sciences
5 Proceedings of the Japan Academy. Series A
5 Physica D
5 Computational Complexity
5 Applied Mathematics. Series B (English Edition)
5 The Journal of Fourier Analysis and Applications
5 Integers
5 Journal of Algebra and its Applications
4 Communications in Mathematical Physics
4 Periodica Mathematica Hungarica
4 Automatica
4 Computing
4 SIAM Journal on Computing
4 Advances in Applied Mathematics
4 Combinatorica
4 Applied Mathematics Letters
4 International Journal of Computer Mathematics
4 Journal of Group Theory
4 Quantum Information Processing
4 International Journal of Quantum Information
3 Computer Physics Communications
3 Bulletin of Mathematical Biology
3 Beiträge zur Algebra und Geometrie
3 Advances in Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Functional Analysis
3 Journal of Geometry
3 Manuscripta Mathematica
3 Programming and Computer Software
3 Siberian Mathematical Journal
3 Algorithmica
3 Science in China. Series A
3 Cybernetics and Systems Analysis
3 Computational and Applied Mathematics
3 Turkish Journal of Mathematics
3 The Ramanujan Journal
3 Journal of Integer Sequences
3 Lobachevskii Journal of Mathematics
3 Journal of the Australian Mathematical Society
3 Portugaliae Mathematica. Nova Série
3 European Journal of Pure and Applied Mathematics
3 Discrete Mathematics, Algorithms and Applications
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Diskretnyĭ Analiz i Issledovanie Operatsiĭ
2 Journal of Mathematical Analysis and Applications
2 Metrika
...and 148 more Serials
all top 5

Cited in 54 Fields

1,155 Number theory (11-XX)
648 Information and communication theory, circuits (94-XX)
270 Combinatorics (05-XX)
197 Field theory and polynomials (12-XX)
174 Computer science (68-XX)
105 Algebraic geometry (14-XX)
94 Numerical analysis (65-XX)
71 Group theory and generalizations (20-XX)
71 Geometry (51-XX)
57 Linear and multilinear algebra; matrix theory (15-XX)
56 Commutative algebra (13-XX)
48 Order, lattices, ordered algebraic structures (06-XX)
36 Dynamical systems and ergodic theory (37-XX)
32 Quantum theory (81-XX)
30 Associative rings and algebras (16-XX)
24 Special functions (33-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
19 Convex and discrete geometry (52-XX)
18 Nonassociative rings and algebras (17-XX)
15 Probability theory and stochastic processes (60-XX)
13 Mathematical logic and foundations (03-XX)
12 Systems theory; control (93-XX)
11 Approximations and expansions (41-XX)
10 Operations research, mathematical programming (90-XX)
7 Functional analysis (46-XX)
7 Statistics (62-XX)
6 General algebraic systems (08-XX)
6 Abstract harmonic analysis (43-XX)
6 Biology and other natural sciences (92-XX)
5 Topological groups, Lie groups (22-XX)
4 Real functions (26-XX)
4 Functions of a complex variable (30-XX)
4 Partial differential equations (35-XX)
4 Difference and functional equations (39-XX)
3 Category theory; homological algebra (18-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Measure and integration (28-XX)
2 Ordinary differential equations (34-XX)
2 Sequences, series, summability (40-XX)
2 Integral equations (45-XX)
2 Operator theory (47-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Potential theory (31-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Mathematics education (97-XX)

Citations by Year

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