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Author ID: cohen.stephen-d Recent zbMATH articles by "Cohen, Stephen D."
Published as: Cohen, Stephen D.; Cohen, S. D.; Cohen, Stephen; Cohen, S.
External Links: MGP
all top 5

Co-Authors

64 single-authored
8 Trudgian, Tim
5 Hachenberger, Dirk
4 Ganley, Michael J.
4 Huczynska, Sophie
4 Kapetanakis, Giorgos
4 Mullen, Gary L.
4 Oliveira e Silva, Tomás
3 Glass, Andrew M. W.
3 Matthews, Rex W.
3 Movahhedi, Abbas
3 Niederreiter, Harald
3 Odoni, R. W. K.
3 Panario, Daniel
3 Prešern, Mateja
3 Salinier, Alain
3 Shparlinski, Igor E.
3 Stothers, W. Wilson
3 Sutherland, Nicole
3 Zieve, Michael E.
2 Anderson, Ian
2 Arora, Suresh Kumar
2 Batra, Sudhir
2 Chou, Wunseng
2 Fried, Michael David
2 Gupta, Anju Rani
2 Jha, Vikram
2 Kuzyurin, Nikolaĭ Nikolaevich
2 Leonard, Philip A.
2 Sharma, Rajendra Kumar
2 Wang, Qiang (Steven)
1 Abhyankar, Shreeram Shankar
1 Ahmadi, Omran
1 At, Nuray
1 Bailey, Geoff
1 Ball, L. Simeon
1 Basnet, Dhiren Kumar
1 Bernstein, Daniel Julius
1 Blache, Régis
1 Blake, Ian F.
1 Blokhuis, Aart
1 Booker, Andrew R.
1 Carlet, Claude
1 Castro, Francis Noel
1 Chand Gupta, Kishan
1 Charpin, Pascale
1 Cioabă, Sebastian M.
1 Coffignal, G.
1 Colbourn, Charles J.
1 Coulter, Robert S.
1 de Smit, Bart
1 Dewar, Michael C.
1 Ding, Jintai
1 Dinitz, Jeffrey H.
1 Doche, Christophe
1 Dumas, Jean-Guillaume
1 Ebert, Gary Lee
1 Effinger, Gove W.
1 Enge, Andreas
1 Erdős, Pál
1 Evans, Ronald J.
1 Fan, Haining
1 Finizio, Norman J.
1 Fitzgerald, Robert W.
1 Franken, Ralf
1 Friedlander, John Benjamin
1 Fu, Lei
1 Gao, Shuhong
1 Garaev, Moubariz Z.
1 Garcia, Arnaldo
1 Giesbrecht, Mark W.
1 Gong, Guang
1 Goss, David Mark
1 Gow, Roderick
1 Hasan, M. Anwar
1 Hasan, Sartaj Ul
1 Hazarika, Himangshu
1 Helleseth, Tor
1 Hinkelmann, Franziska
1 Hirschfeld, James William Peter
1 Hou, Xiang-Dong
1 Huffman, W. Cary
1 Jacobson, Michael John jun.
1 Jedwab, Jonathan
1 Jungnickel, Dieter
1 Kaltofen, Erich L.
1 Kholosha, Alexander
1 Kyuregyan, Melsik K.
1 Lange, Tanja
1 Laubenbacher, Reinhard C.
1 Lecerf, Grégoire
1 Lenstra, Hendrik W. jun.
1 Liao, Qunying
1 Lidl, Rudolf
1 Litsyn, Simon N.
1 Lorong, Philippe
1 McGuire, Gary
1 Meidl, Wilfried
1 Menezes, Alfred J.
1 Mills, Donald
1 Murty, Kumar
...and 31 more Co-Authors
all top 5

Serials

12 Finite Fields and their Applications
11 Acta Arithmetica
8 Glasgow Mathematical Journal
5 Journal of the London Mathematical Society. Second Series
5 Journal of Number Theory
4 Discrete Mathematics
4 Mathematika
4 Proceedings of the American Mathematical Society
4 Proceedings of the Edinburgh Mathematical Society. Series II
3 Mathematics of Computation
3 Archiv der Mathematik
3 Bulletin of the London Mathematical Society
3 Journal of Algebra
3 Transactions of the American Mathematical Society
3 Southeast Asian Bulletin of Mathematics
3 Designs, Codes and Cryptography
2 Bulletin of the Australian Mathematical Society
2 Pacific Journal of Mathematics
2 The Quarterly Journal of Mathematics. Oxford Second Series
2 Bulletin of the Korean Mathematical Society
2 Journal of Algebra and its Applications
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Illinois Journal of Mathematics
1 Journal of Combinatorial Theory. Series A
1 Journal für die Reine und Angewandte Mathematik
1 Monatshefte für Mathematik
1 Portugaliae Mathematica
1 Proceedings of the London Mathematical Society. Third Series
1 Publicationes Mathematicae Debrecen
1 Quaestiones Mathematicae
1 L’Enseignement Mathématique. 2e Série
1 Journal of the Australian Mathematical Society. Series A
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal de Théorie des Nombres de Bordeaux
1 Congressus Numerantium
1 The Ramanujan Journal
1 Archives of Computational Methods in Engineering
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 JP Journal of Algebra, Number Theory and Applications
1 Proceedings of the Cambridge Philosophical Society
1 International Journal of Number Theory
1 London Mathematical Society Lecture Note Series
1 Journal of Combinatorics and Number Theory
1 Discrete Mathematics and its Applications

Publications by Year

Citations contained in zbMATH Open

111 Publications have been cited 1,048 times in 452 Documents Cited by Year
Handbook of finite fields. Zbl 1319.11001
153
2013
The distribution of Galois groups and Hilbert’s irreducibility theorem. Zbl 0484.12002
Cohen, S. D.
44
1981
The distribution of polynomials over finite fields. Zbl 0209.36001
Cohen, S. D.
44
1970
Primitive elements and polynomials with arbitrary trace. Zbl 0711.11048
Cohen, Stephen D.
43
1990
The explicit construction of irreducible polynomials over finite fields. Zbl 0768.11048
Cohen, Stephen D.
30
1992
The primitive normal basis theorem – without a computer. Zbl 1045.11087
Cohen, Stephen D.; Huczynska, Sophie
29
2003
Commutative semifields, two dimensional over their middle nuclei. Zbl 0499.12021
Cohen, Stephen D.; Ganley, Michael J.
28
1982
On irreducible polynomials of certain types in finite fields. Zbl 0177.06601
Cohen, Stephen D.
28
1969
Uniform distribution of polynomials over finite fields. Zbl 0253.12019
Cohen, Stephen D.
26
1972
Primitive normal bases with prescribed trace. Zbl 0931.12002
Cohen, S. D.; Hachenberger, D.
23
1999
Explicit theorems on generator polynomials. Zbl 1087.11073
Cohen, Stephen D.
20
2005
The strong primitive normal basis theorem. Zbl 1219.11182
Cohen, Stephen D.; Huczynska, Sophie
18
2010
Consecutive primitive roots in a finite field. Zbl 0561.10021
Cohen, Stephen D.
16
1985
A class of exceptional polynomials. Zbl 0812.11070
Cohen, Stephen D.; Matthews, Rex W.
16
1994
Primitive elements with zero traces. Zbl 0984.11065
Chou, Wun-Seng; Cohen, Stephen D.
14
2001
Clique numbers of Paley graphs. Zbl 0691.05051
Cohen, Stephen D.
13
1988
Gauss sums and a sieve for generators of Galois fields. Zbl 0961.11043
Cohen, Stephen D.
13
2000
Primitive elements and polynomials: existence results. Zbl 0812.11069
Cohen, Stephen D.
13
1993
Primitivity, freeness, norm and trace. Zbl 0952.11031
Cohen, Stephen D.; Hachenberger, Dirk
12
2000
Pairs of primitive elements in fields of even order. Zbl 1366.11113
Cohen, Stephen D.
12
2014
Primitive roots in the quadratic extension of a finite field. Zbl 0514.12018
Cohen, Stephen D.
12
1983
Bivariate factorizations connecting Dickson polynomials and Galois theory. Zbl 0989.12001
Abhyankar, Shreeram S.; Cohen, Stephen D.; Zieve, Michael E.
11
2000
The group of translations and positive rational powers is free. Zbl 0881.20008
Cohen, Stephen D.
11
1995
Rational functions invariant under an orthogonal group. Zbl 0728.12007
Cohen, S. D.
11
1990
Primitive free quartics with specified norm and trace. Zbl 1074.11064
Cohen, Stephen D.; Huczynska, Sophie
11
2003
The primitive idempotents of a cyclic group algebra. Zbl 1046.20003
Arora, Suresh Kumar; Batra, Sudhir; Cohen, Stephen D.; Pruthi, Manju
11
2002
Primitive polynomials with a prescribed coefficient. Zbl 1165.11084
Cohen, Stephen D.
11
2006
Pairs of primitive roots. Zbl 0581.10021
Cohen, Stephen D.
10
1985
Factorization over local fields and the irreducibility of generalized difference polynomials. Zbl 1018.12001
Cohen, S. D.; Movahhedi, A.; Salinier, A.
9
2000
The distribution of irreducible polynomials in several indeterminates over a finite field. Zbl 0172.05305
Cohen, Stephen D.
9
1968
Double transitivity of Galois groups of trinomials. Zbl 0893.11046
Cohen, S. D.; Movahhedi, A.; Salinier, A.
9
1997
An existence theorem for cyclic triplewhist tournaments. Zbl 0818.05027
Anderson, I.; Cohen, S. D.; Finizio, N. J.
9
1995
Galois groups of trinomials. Zbl 0939.12002
Cohen, S. D.; Movahhedi, A.; Salinier, A.
8
1999
Kloosterman sums and primitive elements in Galois fields. Zbl 0961.11042
Cohen, Stephen D.
8
2000
The distribution of the Galois groups of integral polynomials. Zbl 0402.12005
Cohen, S. D.
8
1979
The Galois group of a polynomial with two indeterminate coefficients. Zbl 0408.12011
Cohen, S. D.
8
1980
Lenstra’s proof of the Carlitz-Wan conjecture on exceptional polynomials: An elementary version. Zbl 0839.11063
Cohen, Stephen D.; Fried, Michael D.
8
1995
Primitive free cubics with specified norm and trace. Zbl 1022.11064
Huczynska, Sophie; Cohen, Stephen D.
8
2003
Primitive polynomials with first and second coefficients prescribed. Zbl 1083.11076
Cohen, Stephen D.; Mills, Donald
8
2003
The primitive idempotents of a cyclic group algebra. II. Zbl 1077.20002
Arora, Suresh Kumar; Batra, Sudhir; Cohen, S. D.
8
2005
An asymptotic formula for the number of irreducible transformation shift registers. Zbl 1330.05018
Cohen, Stephen D.; Ul Hasan, Sartaj; Panario, Daniel; Wang, Qiang
8
2015
Permutation group theory and permutation polynomials. Zbl 0958.12001
Cohen, Stephen D.
7
1999
Primitive elements in finite fields and Costas arrays. Zbl 0744.11061
Cohen, Stephen D.; Mullen, Gary L.
7
1991
On the least square-free primitive root modulo \(p\). Zbl 1402.11006
Cohen, Stephen D.; Trudgian, Tim
7
2017
Polynomial factorisation and an application to regular directed graphs. Zbl 0957.11049
Cohen, Stephen D.
7
1998
Exceptional polynomials and the reducibility of substitution polynomials. Zbl 0711.11049
Cohen, Stephen D.
7
1990
Proof of a conjecture of Chowla and Zassenhaus on permutation polynomials. Zbl 0722.11060
Cohen, Stephen D.
7
1990
The factorable core of polynomials over finite fields. Zbl 0728.11065
Cohen, S. D.
7
1990
Dickson polynomials of the second kind that are permutations. Zbl 0796.11054
Cohen, Stephen D.
7
1994
The Hansen-Mullen primitivity conjecture: completion of proof. Zbl 1266.11125
Cohen, Stephen; Prešern, Mateja
7
2008
Primitive element pairs with one prescribed trace over a finite field. Zbl 1430.11158
Gupta, Anju; Sharma, R. K.; Cohen, Stephen D.
6
2018
On Grosswald’s conjecture on primitive roots. Zbl 1402.11108
Cohen, Stephen D.; Oliveira e Silva, Tomás; Trudgian, Tim
6
2016
Exceptional polynomials over finite fields. Zbl 0839.11062
Cohen, Stephen D.; Matthews, Rex W.
6
1995
Consecutive primitive roots in a finite field. II. Zbl 0579.10021
Cohen, Stephen D.
6
1985
Generators in cyclic difference sets. Zbl 0725.05015
Cohen, Stephen D.
6
1989
Primitive polynomials with prescribed second coefficient. Zbl 1116.11092
Cohen, Stephen D.; Prešern, Mateja
6
2006
The values of a polynomial over a finite field. Zbl 0275.12015
Cohen, S. D.
6
1973
A proof of the conjecture of Cohen and Mullen on sums of primitive roots. Zbl 1372.11113
Cohen, Stephen D.; Oliveira e Silva, Tomás; Trudgian, Tim
6
2015
Primitive values of quadratic polynomials in a finite field. Zbl 1464.11131
Booker, Andrew R.; Cohen, Stephen D.; Sutherland, Nicole; Trudgian, Tim
6
2019
Lehmer numbers and primitive roots modulo a prime. Zbl 1473.11001
Cohen, Stephen D.; Trudgian, Tim
6
2019
Permutation polynomials and primitive permutation groups. Zbl 0766.11047
Cohen, Stephen D.
5
1991
Further arithmetical functions in finite fields. Zbl 0188.11101
Cohen, Stephen D.
5
1969
Sums of two exact powers. Zbl 1069.11052
Cohen, Stephen D.; Zhang, Wenpeng
5
2002
Primitive polynomials over small fields. Zbl 1077.11083
Cohen, Stephen D.
5
2004
Primitive elements on lines in extensions of finite fields. Zbl 1221.11238
Cohen, Stephen D.
5
2010
On the least primitive root modulo p\(^2\). Zbl 0276.10027
Cohen, S. D.; Odoni, R. W. K.; Stothers, W. W.
5
1974
On consecutive primitive elements in a finite field. Zbl 1369.11095
Cohen, Stephen D.; Oliveira e Silva, Tomás; Trudgian, Tim
5
2015
Some classes of translation planes. Zbl 0541.51005
Cohen, Stephen D.; Ganley, Michael J.
4
1984
Monodromy groups of classical families over finite fields. Zbl 0932.11076
Cohen, Stephen D.; Matthews, Rex W.
4
1996
Primitive finite field elements with prescribed trace. Zbl 1138.11353
Cohen, Stephen D.; Prešern, Mateja
4
2005
The dynamics of linearized polynomials. Zbl 0955.12002
Cohen, Stephen D.; Hachenberger, Dirk
3
2000
On transitive automorphism groups of finite quasifields. Zbl 0454.12011
Cohen, Stephen D.; Ganley, Michael J.; Jha, Vikram
3
1980
Existence results for primitive elements in cubic and quartic extensions of a finite field. Zbl 1458.11169
Bailey, Geoff; Cohen, Stephen D.; Sutherland, Nicole; Trudgian, Tim
3
2019
The function field abstract prime number theorem. Zbl 0679.10037
Cohen, Stephen D.
3
1989
Primitive roots and powers among polynomial values over finite fields. Zbl 0524.12012
Cohen, Stephen D.
3
1984
The orders of related elements of a finite field. Zbl 1048.11098
Cohen, Stephen D.
3
2003
Free groups from fields. Zbl 0878.20017
Cohen, Stephen D.; Glass, A. M. W.
3
1997
Incomplete character sums and a special class of permutations. Zbl 1065.11097
Cohen, S. D.; Niederreiter, H.; Shparlinski, I. E.; Zieve, M.
3
2001
Polynomials over finite fields with large order and level. Zbl 0703.11072
Cohen, Stephen D.
3
1987
Finite field elements with specified order and traces. Zbl 1136.11326
Cohen, Stephen D.
3
2005
Some function field estimates with applications. Zbl 0930.11041
Cohen, Stephen D.
3
1999
The distribution of polynomials over finite fields. II. Zbl 0241.12010
Cohen, Stephen D.
3
1972
The Farey density of norm subgroups of global fields. II. Zbl 0363.12014
Cohen, S. D.; Odoni, R. W. K.
3
1977
Generators of the cubic extension of a finite field. Zbl 1242.11098
Cohen, Stephen D.
3
2009
The trace of 2-primitive elements of finite fields. Zbl 1452.11147
Cohen, Stephen D.; Kapetanakis, Giorgos
3
2020
Finite field extensions with the line or translate property for \(r\)-primitive elements. Zbl 1485.11167
Cohen, Stephen D.; Kapetanakis, Giorgos
3
2021
Primitive values of rational functions at primitive elements of a finite field. Zbl 1468.11240
Cohen, Stephen D.; Sharma, Hariom; Sharma, Rajendra
3
2021
Prime polynomial sequences. Zbl 0346.10027
Cohen, S. D.; Erdős, Paul; Nathanson, M. B.
2
1976
Functions and polynomials in vector spaces. Zbl 0624.12012
Cohen, Stephen D.
2
1987
The irreducibility of compositions of linear polynomials over a finite field. Zbl 0499.12017
Cohen, S. D.
2
1982
Some arithmetical functions in finite fields. Zbl 0209.35903
Cohen, Stephen D.
2
1970
The difference between permutation polynomials over finite fields. Zbl 0827.11074
Cohen, Stephen D.; Mullen, Gary L.; Shiue, Peter Jau-Shyong
2
1995
Linear combinations of primitive elements of a finite field. Zbl 1421.11100
Cohen, Stephen D.; Oliveira e Silva, Tomás; Sutherland, Nicole; Trudgian, Tim
2
2018
The reducibility theorem for linearised polynomials over finite fields. Zbl 0682.12016
Cohen, Stephen D.
2
1989
Galois groups associated with CM-fields, skew-symmetric matrices and orthogonal matrices. Zbl 0708.11055
Cohen, S. D.; Odoni, R. W. K.
2
1990
The Galois group of \(f(x^ r)\). Zbl 0531.12018
Cohen, S. D.; Stothers, W. W.
2
1984
The length of primitive BCH codes with minimal covering radius. Zbl 0868.94049
Cohen, Stephen D.
2
1997
The three fixed coefficient primitive polynomial theorem. Zbl 1057.11062
Cohen, Stephen D.; King, Charles
2
2004
Polynomial distribution and sequences of irreducible polynomials over finite fields. Zbl 0923.11162
Chou, Wun-Seng; Cohen, Stephen D.
2
1999
Corrections to: The Galois group of a polynomial with two indeterminate coefficients. Zbl 0499.12020
Cohen, S. D.
1
1981
Finite field extensions with the line or translate property for \(r\)-primitive elements. Zbl 1485.11167
Cohen, Stephen D.; Kapetanakis, Giorgos
3
2021
Primitive values of rational functions at primitive elements of a finite field. Zbl 1468.11240
Cohen, Stephen D.; Sharma, Hariom; Sharma, Rajendra
3
2021
The trace of 2-primitive elements of finite fields. Zbl 1452.11147
Cohen, Stephen D.; Kapetanakis, Giorgos
3
2020
The translate and line properties for 2-primitive elements in quadratic extensions. Zbl 1472.11306
Cohen, Stephen D.; Kapetanakis, Giorgos
1
2020
Primitive values of quadratic polynomials in a finite field. Zbl 1464.11131
Booker, Andrew R.; Cohen, Stephen D.; Sutherland, Nicole; Trudgian, Tim
6
2019
Lehmer numbers and primitive roots modulo a prime. Zbl 1473.11001
Cohen, Stephen D.; Trudgian, Tim
6
2019
Existence results for primitive elements in cubic and quartic extensions of a finite field. Zbl 1458.11169
Bailey, Geoff; Cohen, Stephen D.; Sutherland, Nicole; Trudgian, Tim
3
2019
Primitive element pairs with one prescribed trace over a finite field. Zbl 1430.11158
Gupta, Anju; Sharma, R. K.; Cohen, Stephen D.
6
2018
Linear combinations of primitive elements of a finite field. Zbl 1421.11100
Cohen, Stephen D.; Oliveira e Silva, Tomás; Sutherland, Nicole; Trudgian, Tim
2
2018
On the least square-free primitive root modulo \(p\). Zbl 1402.11006
Cohen, Stephen D.; Trudgian, Tim
7
2017
On Grosswald’s conjecture on primitive roots. Zbl 1402.11108
Cohen, Stephen D.; Oliveira e Silva, Tomás; Trudgian, Tim
6
2016
An asymptotic formula for the number of irreducible transformation shift registers. Zbl 1330.05018
Cohen, Stephen D.; Ul Hasan, Sartaj; Panario, Daniel; Wang, Qiang
8
2015
A proof of the conjecture of Cohen and Mullen on sums of primitive roots. Zbl 1372.11113
Cohen, Stephen D.; Oliveira e Silva, Tomás; Trudgian, Tim
6
2015
On consecutive primitive elements in a finite field. Zbl 1369.11095
Cohen, Stephen D.; Oliveira e Silva, Tomás; Trudgian, Tim
5
2015
Pairs of primitive elements in fields of even order. Zbl 1366.11113
Cohen, Stephen D.
12
2014
Handbook of finite fields. Zbl 1319.11001
153
2013
The strong primitive normal basis theorem. Zbl 1219.11182
Cohen, Stephen D.; Huczynska, Sophie
18
2010
Primitive elements on lines in extensions of finite fields. Zbl 1221.11238
Cohen, Stephen D.
5
2010
Generators of the cubic extension of a finite field. Zbl 1242.11098
Cohen, Stephen D.
3
2009
The Hansen-Mullen primitivity conjecture: completion of proof. Zbl 1266.11125
Cohen, Stephen; Prešern, Mateja
7
2008
A new tool for assurance of perfect nonlinearity. Zbl 1206.94048
At, Nuray; Cohen, Stephen D.
1
2008
Primitive polynomials with a prescribed coefficient. Zbl 1165.11084
Cohen, Stephen D.
11
2006
Primitive polynomials with prescribed second coefficient. Zbl 1116.11092
Cohen, Stephen D.; Prešern, Mateja
6
2006
Contribution of computational mechanics in numerical simulation of machining and blancking: state-of-the-art. Zbl 1099.74073
Lorong, Ph.; Yvonnet, J.; Coffignal, G.; Cohen, S.
1
2006
Explicit theorems on generator polynomials. Zbl 1087.11073
Cohen, Stephen D.
20
2005
The primitive idempotents of a cyclic group algebra. II. Zbl 1077.20002
Arora, Suresh Kumar; Batra, Sudhir; Cohen, S. D.
8
2005
Primitive finite field elements with prescribed trace. Zbl 1138.11353
Cohen, Stephen D.; Prešern, Mateja
4
2005
Finite field elements with specified order and traces. Zbl 1136.11326
Cohen, Stephen D.
3
2005
Polynomial Gauss sums. Zbl 1084.11048
Cohen, Stephen D.; Dewar, Michael; Friedlander, John B.; Panario, Daniel; Shparlinski, Igor E.
1
2005
Primitive polynomials over small fields. Zbl 1077.11083
Cohen, Stephen D.
5
2004
The three fixed coefficient primitive polynomial theorem. Zbl 1057.11062
Cohen, Stephen D.; King, Charles
2
2004
The primitive normal basis theorem – without a computer. Zbl 1045.11087
Cohen, Stephen D.; Huczynska, Sophie
29
2003
Primitive free quartics with specified norm and trace. Zbl 1074.11064
Cohen, Stephen D.; Huczynska, Sophie
11
2003
Primitive free cubics with specified norm and trace. Zbl 1022.11064
Huczynska, Sophie; Cohen, Stephen D.
8
2003
Primitive polynomials with first and second coefficients prescribed. Zbl 1083.11076
Cohen, Stephen D.; Mills, Donald
8
2003
The orders of related elements of a finite field. Zbl 1048.11098
Cohen, Stephen D.
3
2003
The primitive idempotents of a cyclic group algebra. Zbl 1046.20003
Arora, Suresh Kumar; Batra, Sudhir; Cohen, Stephen D.; Pruthi, Manju
11
2002
Sums of two exact powers. Zbl 1069.11052
Cohen, Stephen D.; Zhang, Wenpeng
5
2002
Primitive elements with zero traces. Zbl 0984.11065
Chou, Wun-Seng; Cohen, Stephen D.
14
2001
Incomplete character sums and a special class of permutations. Zbl 1065.11097
Cohen, S. D.; Niederreiter, H.; Shparlinski, I. E.; Zieve, M.
3
2001
Gauss sums and a sieve for generators of Galois fields. Zbl 0961.11043
Cohen, Stephen D.
13
2000
Primitivity, freeness, norm and trace. Zbl 0952.11031
Cohen, Stephen D.; Hachenberger, Dirk
12
2000
Bivariate factorizations connecting Dickson polynomials and Galois theory. Zbl 0989.12001
Abhyankar, Shreeram S.; Cohen, Stephen D.; Zieve, Michael E.
11
2000
Factorization over local fields and the irreducibility of generalized difference polynomials. Zbl 1018.12001
Cohen, S. D.; Movahhedi, A.; Salinier, A.
9
2000
Kloosterman sums and primitive elements in Galois fields. Zbl 0961.11042
Cohen, Stephen D.
8
2000
The dynamics of linearized polynomials. Zbl 0955.12002
Cohen, Stephen D.; Hachenberger, Dirk
3
2000
Primitive normal bases with prescribed trace. Zbl 0931.12002
Cohen, S. D.; Hachenberger, D.
23
1999
Galois groups of trinomials. Zbl 0939.12002
Cohen, S. D.; Movahhedi, A.; Salinier, A.
8
1999
Permutation group theory and permutation polynomials. Zbl 0958.12001
Cohen, Stephen D.
7
1999
Some function field estimates with applications. Zbl 0930.11041
Cohen, Stephen D.
3
1999
Polynomial distribution and sequences of irreducible polynomials over finite fields. Zbl 0923.11162
Chou, Wun-Seng; Cohen, Stephen D.
2
1999
Polynomial factorisation and an application to regular directed graphs. Zbl 0957.11049
Cohen, Stephen D.
7
1998
Double transitivity of Galois groups of trinomials. Zbl 0893.11046
Cohen, S. D.; Movahhedi, A.; Salinier, A.
9
1997
Free groups from fields. Zbl 0878.20017
Cohen, Stephen D.; Glass, A. M. W.
3
1997
The length of primitive BCH codes with minimal covering radius. Zbl 0868.94049
Cohen, Stephen D.
2
1997
Monodromy groups of classical families over finite fields. Zbl 0932.11076
Cohen, Stephen D.; Matthews, Rex W.
4
1996
The group of translations and positive rational powers is free. Zbl 0881.20008
Cohen, Stephen D.
11
1995
An existence theorem for cyclic triplewhist tournaments. Zbl 0818.05027
Anderson, I.; Cohen, S. D.; Finizio, N. J.
9
1995
Lenstra’s proof of the Carlitz-Wan conjecture on exceptional polynomials: An elementary version. Zbl 0839.11063
Cohen, Stephen D.; Fried, Michael D.
8
1995
Exceptional polynomials over finite fields. Zbl 0839.11062
Cohen, Stephen D.; Matthews, Rex W.
6
1995
The difference between permutation polynomials over finite fields. Zbl 0827.11074
Cohen, Stephen D.; Mullen, Gary L.; Shiue, Peter Jau-Shyong
2
1995
Biquadratic residues and self-orthogonal 2-sequencings. Zbl 0846.05068
Cohen, Stephen D.; Leonard, Philip A.
1
1995
Dickson permutations. Zbl 0924.11015
Cohen, Stephen D.
1
1995
Composites of translations and odd rational powers act freely. Zbl 0839.20035
Cohen, Stephen D.; Glass, A. M. W.
1
1995
A class of exceptional polynomials. Zbl 0812.11070
Cohen, Stephen D.; Matthews, Rex W.
16
1994
Dickson polynomials of the second kind that are permutations. Zbl 0796.11054
Cohen, Stephen D.
7
1994
Polynomial factorisation, graphs, designs and codes. Zbl 0840.11051
Cohen, Stephen D.
1
1994
Primitive elements and polynomials: existence results. Zbl 0812.11069
Cohen, Stephen D.
13
1993
The explicit construction of irreducible polynomials over finite fields. Zbl 0768.11048
Cohen, Stephen D.
30
1992
Primitive elements in finite fields and Costas arrays. Zbl 0744.11061
Cohen, Stephen D.; Mullen, Gary L.
7
1991
Permutation polynomials and primitive permutation groups. Zbl 0766.11047
Cohen, Stephen D.
5
1991
Primitive elements and polynomials with arbitrary trace. Zbl 0711.11048
Cohen, Stephen D.
43
1990
Rational functions invariant under an orthogonal group. Zbl 0728.12007
Cohen, S. D.
11
1990
Exceptional polynomials and the reducibility of substitution polynomials. Zbl 0711.11049
Cohen, Stephen D.
7
1990
Proof of a conjecture of Chowla and Zassenhaus on permutation polynomials. Zbl 0722.11060
Cohen, Stephen D.
7
1990
The factorable core of polynomials over finite fields. Zbl 0728.11065
Cohen, S. D.
7
1990
Galois groups associated with CM-fields, skew-symmetric matrices and orthogonal matrices. Zbl 0708.11055
Cohen, S. D.; Odoni, R. W. K.
2
1990
Generators in cyclic difference sets. Zbl 0725.05015
Cohen, Stephen D.
6
1989
The function field abstract prime number theorem. Zbl 0679.10037
Cohen, Stephen D.
3
1989
The reducibility theorem for linearised polynomials over finite fields. Zbl 0682.12016
Cohen, Stephen D.
2
1989
Galois groups of trinomials. Zbl 0716.12004
Cohen, Stephen D.
1
1989
Clique numbers of Paley graphs. Zbl 0691.05051
Cohen, Stephen D.
13
1988
Polynomials over finite fields with large order and level. Zbl 0703.11072
Cohen, Stephen D.
3
1987
Functions and polynomials in vector spaces. Zbl 0624.12012
Cohen, Stephen D.
2
1987
Consecutive primitive roots in a finite field. Zbl 0561.10021
Cohen, Stephen D.
16
1985
Pairs of primitive roots. Zbl 0581.10021
Cohen, Stephen D.
10
1985
Consecutive primitive roots in a finite field. II. Zbl 0579.10021
Cohen, Stephen D.
6
1985
Reducibility of sub-linear polynomials over a finite field. Zbl 0575.12014
Cohen, Stephen D.
1
1985
Some classes of translation planes. Zbl 0541.51005
Cohen, Stephen D.; Ganley, Michael J.
4
1984
Primitive roots and powers among polynomial values over finite fields. Zbl 0524.12012
Cohen, Stephen D.
3
1984
The Galois group of \(f(x^ r)\). Zbl 0531.12018
Cohen, S. D.; Stothers, W. W.
2
1984
Primitive roots in the quadratic extension of a finite field. Zbl 0514.12018
Cohen, Stephen D.
12
1983
Commutative semifields, two dimensional over their middle nuclei. Zbl 0499.12021
Cohen, Stephen D.; Ganley, Michael J.
28
1982
The irreducibility of compositions of linear polynomials over a finite field. Zbl 0499.12017
Cohen, S. D.
2
1982
Polynomials and finite sets connected with an identity. Zbl 0501.12021
Cohen, S. D.
1
1982
The distribution of Galois groups and Hilbert’s irreducibility theorem. Zbl 0484.12002
Cohen, S. D.
44
1981
Corrections to: The Galois group of a polynomial with two indeterminate coefficients. Zbl 0499.12020
Cohen, S. D.
1
1981
The Galois group of a polynomial with two indeterminate coefficients. Zbl 0408.12011
Cohen, S. D.
8
1980
On transitive automorphism groups of finite quasifields. Zbl 0454.12011
Cohen, Stephen D.; Ganley, Michael J.; Jha, Vikram
3
1980
The distribution of the Galois groups of integral polynomials. Zbl 0402.12005
Cohen, S. D.
8
1979
...and 11 more Documents
all top 5

Cited by 482 Authors

43 Cohen, Stephen D.
15 Wang, Qiang (Steven)
14 Trudgian, Tim
12 Kapetanakis, Giorgos
11 Shparlinski, Igor E.
10 Kyuregyan, Melsik K.
10 Mullen, Gary L.
10 Reis, Lucas
10 Wan, Daqing
9 Panario, Daniel
7 Fan, Shuqin
7 Garefalakis, Theodoulos
7 Sharma, Rajendra Kumar
7 Zieve, Michael E.
6 Han, Wenbao
6 Lavrauw, Michel
6 Mesnager, Sihem
5 Ahmadi, Omran
5 Anderson, Ian
5 Batra, Sudhir
5 Cao, Xiwang
5 Hachenberger, Dirk
5 Kim, Kwang Ho
5 Li, Fengwei
5 von zur Gathen, Joachim
5 Yucas, Joseph L.
5 Zhang, Wenpeng
4 Alizadeh, Mahmood
4 Chen, Kejun
4 Chou, Wunseng
4 Gupta, Anju Rani
4 Guralnick, Robert Michael
4 Hou, Xiang-Dong
4 Hu, Lei
4 Jha, Vikram
4 Oliveira e Silva, Tomás
4 Topuzoǧlu, Alev
4 Tuxanidy, Aleksandr
4 Xiang, Qing
4 Yue, Qin
3 Abhyankar, Shreeram Shankar
3 Bary-Soroker, Lior
3 Brudnyi, Alexander
3 Chen, Bocong
3 Fried, Michael David
3 Göloğlu, Faruk
3 Gol’tvanitsa, M. A.
3 Gomez-Perez, Domingo
3 Gorodetsky, Ofir
3 Hasan, Sartaj Ul
3 Kuz’min, E. N.
3 Kyureghyan, Gohar M.
3 Li, Jiyou
3 Matera, Guillermo
3 McGown, Kevin J.
3 Özbudak, Ferruh
3 Sharma, Hariom
3 Shiue, Peter Jau-Shyong
3 Sutherland, Nicole
3 Winterhof, Arne
3 Yip, Chi Hoi
3 Zha, Zhengbang
3 Zhu, Lie
2 Anju
2 Arora, Suresh Kumar
2 Awasthi, Ambrish
2 Baker, Ronald D.
2 Ball, Simeon
2 Bank, Efrat
2 Bartoli, Daniele
2 Basnet, Dhiren Kumar
2 Blokhuis, Aart
2 Brown, Matthew R.
2 Buratti, Marco
2 Carlet, Claude
2 Chang, Yaotsu
2 Choe, Jong Hyok
2 Coulter, Robert S.
2 Dèbes, Pierre
2 Ding, Cunsheng
2 Ebert, Gary Lee
2 Feng, Keqin
2 Ferraguti, Andrea
2 Finizio, Norman J.
2 Fitzgerald, Robert W.
2 Gallardo, Luis Henri
2 Ganley, Michael J.
2 Gao, Zhicheng
2 Giulietti, Massimo
2 Glass, Andrew M. W.
2 Granger, Robert A.
2 Hazarika, Himangshu
2 Henderson, Marie
2 Hollmann, Hendrik Dirk Lodewijk
2 Hong, Shaofang
2 Huczynska, Sophie
2 Indlekofer, Karl-Heinz
2 Jarso, Tamiru
2 Johnson, Norman Lloyd
2 Kantor, William M.
...and 382 more Authors
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Cited in 113 Serials

118 Finite Fields and their Applications
38 Designs, Codes and Cryptography
22 Discrete Mathematics
21 Journal of Number Theory
14 Proceedings of the American Mathematical Society
12 Applicable Algebra in Engineering, Communication and Computing
11 Mathematics of Computation
8 Journal of Combinatorial Theory. Series A
8 Journal of Algebra and its Applications
7 International Journal of Number Theory
6 Communications in Algebra
6 Journal of Algebra
6 Journal of Pure and Applied Algebra
6 Transactions of the American Mathematical Society
5 Discrete Applied Mathematics
5 Israel Journal of Mathematics
5 Journal of Symbolic Computation
5 Journal of Algebraic Combinatorics
5 Cryptography and Communications
4 Bulletin of the Australian Mathematical Society
4 Journal of Statistical Planning and Inference
4 European Journal of Combinatorics
3 Acta Arithmetica
3 Advances in Mathematics
3 Archiv der Mathematik
3 Glasgow Mathematical Journal
3 Mathematika
3 Linear Algebra and its Applications
3 Journal of Combinatorial Designs
3 Journal of Applied Mathematics and Computing
3 Asian-European Journal of Mathematics
3 Matematicheskie Voprosy Kriptografii
2 Journal d’Analyse Mathématique
2 Rocky Mountain Journal of Mathematics
2 Compositio Mathematica
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of Geometry
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Results in Mathematics
2 Siberian Mathematical Journal
2 Ergodic Theory and Dynamical Systems
2 Indagationes Mathematicae. New Series
2 Selecta Mathematica. New Series
2 Integers
2 Journal of the Australian Mathematical Society
2 Science China. Mathematics
2 Journal of Mathematics
2 AIMS Mathematics
1 American Mathematical Monthly
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Periodica Mathematica Hungarica
1 The Mathematical Intelligencer
1 Algebra and Logic
1 BIT
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Journal of Combinatorial Theory. Series B
1 Journal of Differential Equations
1 Journal of Graph Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Bulletin of the Korean Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Journal of Complexity
1 Revista Matemática Iberoamericana
1 SIAM Journal on Discrete Mathematics
1 Forum Mathematicum
1 Science in China. Series A
1 Random Structures & Algorithms
1 International Journal of Algebra and Computation
1 International Journal of Foundations of Computer Science
1 IMRN. International Mathematics Research Notices
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Knot Theory and its Ramifications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Computational Complexity
1 Experimental Mathematics
1 Journal de Théorie des Nombres de Bordeaux
1 Journal of Mathematical Sciences (New York)
1 The Electronic Journal of Combinatorics
1 Bulletin des Sciences Mathématiques
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 The Journal of Fourier Analysis and Applications
1 Mathematical Problems in Engineering
1 Abstract and Applied Analysis
1 Taiwanese Journal of Mathematics
1 Geometry & Topology
1 Qualitative Theory of Dynamical Systems
1 Advances in Geometry
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics
...and 13 more Serials

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