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Author ID: zieve.michael-e Recent zbMATH articles by "Zieve, Michael E."
Published as: Zieve, Michael E.; Zieve, Michael; Zieve, M.
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all top 5

Co-Authors

17 single-authored
16 Ding, Zhiguo
6 Tucker, Thomas John
4 Guralnick, Robert Michael
4 Scherr, Zachary
4 Wetherell, Joseph L.
3 Cohen, Stephen D.
3 Ghioca, Dragos
3 Masuda, Ariane M.
2 Howe, Everett W.
2 Kresch, Andrew
2 Kyureghyan, Gohar M.
2 Lenstra, Hendrik W. jun.
2 Müller, Peter
2 Neftin, Danny
2 Niederreiter, Harald
2 Poonen, Bjorn
2 Shparlinski, Igor E.
2 Voloch, José Felipe
1 Abhyankar, Shreeram Shankar
1 Achter, Jeffrey D.
1 Ahmadi, Omran
1 Andreatta, Fabrizio
1 Ball, L. Simeon
1 Ball, Simeon
1 Bary-Soroker, Lior
1 Beals, Robert M.
1 Bernstein, Daniel Julius
1 Bhargava, Manjul
1 Bhatt, Bhargav
1 Blache, Régis
1 Blake, Ian Fraser
1 Blokhuis, Aart
1 Carlet, Claude
1 Cassou-Noguès, Philippe
1 Castro, Francis Noel
1 Chai, Chingli
1 Chand Gupta, Kishan
1 Charpin, Pascale
1 Chinburg, Ted
1 Cioabă, Sebastian M.
1 Colbourn, Charles J.
1 Conrad, Brian
1 Coulter, Robert S.
1 Csirik, János A.
1 de Smit, Bart
1 desJardins, David L.
1 Ding, Jintai
1 Dinitz, Jeffrey H.
1 Doche, Christophe
1 Dumas, Jean-Guillaume
1 Duursma, Iwan Maynard
1 Ebert, Gary Lee
1 Effinger, Gove W.
1 Elkies, Noam David
1 Enge, Andreas
1 Esnault, Hélène
1 Evans, Ronald J.
1 Faber, Xander
1 Fan, Haining
1 Fitzgerald, Robert W.
1 Fried, Michael David
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 Gross, Benedict Hyman
1 Hachenberger, Dirk
1 Harashita, Shushi
1 Harbater, David
1 Hasan, M. Anwar
1 Helleseth, Tor
1 Hinkelmann, Franziska
1 Hirschfeld, James William Peter
1 Hou, Xiang-Dong
1 Huffman, W. Cary
1 Hutz, Benjamin
1 Ingram, Patrick
1 Jacobson, Michael John jun.
1 Jedwab, Jonathan
1 Jiang, Zhan
1 Jones, Rafe
1 Jungnickel, Dieter
1 Kaltofen, Erich L.
1 Katsura, Toshiyuki
1 Kholosha, Alexander
1 Kreso, Dijana
1 Krieger, Holly
1 Kuperberg, Gregory John
1 Kyuregyan, Melsik K.
1 Lange, Tanja
1 Laubenbacher, Reinhard C.
1 Lecerf, Grégoire
1 Levin, Aaron
1 Liao, Qunying
1 Lidl, Rudolf
1 Lindahl, Karl-Olof
...and 43 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 493 times in 343 Documents Cited by Year
Handbook of finite fields. Zbl 1319.11001
238
2013
On some permutation polynomials over \(\mathbb {F}_q\) of the form \(x^r h(x^{(q-1)/d})\). Zbl 1228.11177
Zieve, Michael E.
89
2009
Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture. Zbl 1191.14027
Ghioca, Dragos; Tucker, Thomas J.; Zieve, Michael E.
37
2008
Some families of permutation polynomials over finite fields. Zbl 1204.11180
Zieve, Michael E.
33
2008
Permutation binomials over finite fields. Zbl 1239.11139
Masuda, Ariane M.; Zieve, Michael E.
28
2009
Planar functions and perfect nonlinear monomials over finite fields. Zbl 1314.51003
Zieve, Michael E.
24
2015
Factoring Dickson polynomials over finite fields. Zbl 0929.11060
Bhargava, Manjul; Zieve, Michael E.
23
1999
Permutation polynomials of the form \(X + \gamma \mathrm{Tr}(X^k)\). Zbl 1382.11090
Kyureghyan, Gohar; Zieve, Michael
23
2016
Linear relations between polynomial orbits. Zbl 1267.37043
Ghioca, Dragos; Tucker, Thomas J.; Zieve, Michael E.
23
2012
Exceptional covers and bijections on rational points. Zbl 1127.14023
Guralnick, Robert M.; Tucker, Thomas J.; Zieve, Michael E.
20
2007
Bivariate factorizations connecting Dickson polynomials and Galois theory. Zbl 0989.12001
Abhyankar, Shreeram S.; Cohen, Stephen D.; Zieve, Michael E.
17
2000
Classes of permutation polynomials based on cyclotomy and an additive analogue. Zbl 1261.11081
Zieve, Michael E.
16
2010
Symplectic spreads and permutation polynomials. Zbl 1066.51005
Ball, Simeon; Zieve, Michael
14
2004
Some planar monomials in characteristic 2. Zbl 1310.51006
Scherr, Zachary; Zieve, Michael E.
11
2014
A new family of exceptional polynomials in characteristic two. Zbl 1214.12002
Guralnick, Robert M.; Rosenberg, Joel; Zieve, Michael E.
11
2010
A family of exceptional polynomials in characteristic three. Zbl 0871.11087
Lenstra, H. W. jun.; Zieve, M.
11
1996
Polynomials with \(\text{PSL}(2)\) monodromy. Zbl 1214.12003
Guralnick, Robert M.; Zieve, Michael E.
10
2010
Curves of every genus with many points. II: Asymptotically good families. Zbl 1072.11041
Elkies, Noam D.; Howe, Everett W.; Kresch, Andrew; Poonen, Bjorn; Wetherell, Joseph L.; Zieve, Michael E.
10
2004
The Mordell-Lang question for endomorphisms of semiabelian varieties. Zbl 1256.14046
Ghioca, Dragos; Tucker, Thomas; Zieve, Michael E.
10
2011
Low-degree planar monomials in characteristic two. Zbl 1343.51005
Müller, Peter; Zieve, Michael E.
8
2015
Low-degree permutation rational functions over finite fields. Zbl 1492.11162
Ding, Zhiguo; Zieve, Michael E.
8
2022
Curves of every genus with many points. I: Abelian and toric families. Zbl 1062.14027
Kresch, Andrew; Wetherell, Joseph L.; Zieve, Michael E.
8
2002
A note on the discriminator. Zbl 0924.11017
Zieve, Michael
5
1998
Polynomials with a common composite. Zbl 1195.12002
Beals, Robert M.; Wetherell, Joseph L.; Zieve, Michael E.
5
2009
Uniform boundedness of \(S\)-units in arithmetic dynamics. Zbl 1403.37102
Krieger, Holly; Levin, Aaron; Scherr, Zachary; Tucker, Thomas; Yasufuku, Yu; Zieve, Michael E.
5
2015
Determination of a class of permutation quadrinomials. Zbl 1537.11139
Ding, Zhiguo; Zieve, Michael E.
5
2023
Rational points on some Fermat curves and surfaces over finite fields. Zbl 1286.11099
Voloch, José Felipe; Zieve, Michael E.
5
2014
Uniform bounds on pre-images under quadratic dynamical systems. Zbl 1222.11086
Faber, Xander; Hutz, Benjamin; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Tucker, Thomas J.; Zieve, Michael E.
4
2009
Bivariate factorizations via Galois theory, with application to exceptional polynomials. Zbl 0922.12010
Zieve, Michael
3
1998
Nonisomorphic curves that become isomorphic over extensions of coprime degrees. Zbl 1160.14020
Goldstein, Daniel; Guralnick, Robert M.; Howe, Everett W.; Zieve, Michael E.
3
2008
Take-away games. Zbl 0872.90150
Zieve, Michael
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
Rational functions with linear relations. Zbl 1142.39017
Masuda, Ariane M.; Zieve, Michael E.
2
2008
Separated Belyi maps. Zbl 1327.14161
Scherr, Zachary; Zieve, Michael E.
2
2014
A new family of exceptional rational functions. Zbl 1518.11087
Ding, Zhiguo; Zieve, Michael E.
2
2023
On a theorem of Carlitz. Zbl 1311.11112
Zieve, Michael E.
2
2014
On hyperbolic fixed points in ultrametric dynamics. Zbl 1250.37035
Lindahl, Karl-Olof; Zieve, Michael
2
2010
Chebyshev mappings of finite fields. Zbl 1245.11117
Rosen, Julian; Scherr, Zachary; Weiss, Benjamin; Zieve, Michael E.
2
2012
Nonexistence of permutation binomials of certain shapes. Zbl 1162.11396
Masuda, Ariane M.; Zieve, Michael E.
1
2007
\(p^k\)-torsion of genus two curves over \(\mathbb F_{p^m}\). Zbl 1197.14028
Zieve, Michael E.
1
2010
Roots of certain polynomials over finite fields. Zbl 1525.11142
Ding, Zhiguo; Zieve, Michael E.
1
2023
The relative Riemann-Hurwitz formula. Zbl 1507.14045
Ding, Zhiguo; Zieve, Michael E.
1
2022
Extensions of absolute values on two subfields. Zbl 1487.12003
Ding, Zhiguo; Zieve, Michael E.
1
2022
On a class of \(m\)-to-1 functions. Zbl 1545.11102
Ding, Zhiguo; Zieve, Michael E.
1
2024
On a class of \(m\)-to-1 functions. Zbl 1545.11102
Ding, Zhiguo; Zieve, Michael E.
1
2024
Determination of a class of permutation quadrinomials. Zbl 1537.11139
Ding, Zhiguo; Zieve, Michael E.
5
2023
A new family of exceptional rational functions. Zbl 1518.11087
Ding, Zhiguo; Zieve, Michael E.
2
2023
Roots of certain polynomials over finite fields. Zbl 1525.11142
Ding, Zhiguo; Zieve, Michael E.
1
2023
Low-degree permutation rational functions over finite fields. Zbl 1492.11162
Ding, Zhiguo; Zieve, Michael E.
8
2022
The relative Riemann-Hurwitz formula. Zbl 1507.14045
Ding, Zhiguo; Zieve, Michael E.
1
2022
Extensions of absolute values on two subfields. Zbl 1487.12003
Ding, Zhiguo; Zieve, Michael E.
1
2022
Permutation polynomials of the form \(X + \gamma \mathrm{Tr}(X^k)\). Zbl 1382.11090
Kyureghyan, Gohar; Zieve, Michael
23
2016
Planar functions and perfect nonlinear monomials over finite fields. Zbl 1314.51003
Zieve, Michael E.
24
2015
Low-degree planar monomials in characteristic two. Zbl 1343.51005
Müller, Peter; Zieve, Michael E.
8
2015
Uniform boundedness of \(S\)-units in arithmetic dynamics. Zbl 1403.37102
Krieger, Holly; Levin, Aaron; Scherr, Zachary; Tucker, Thomas; Yasufuku, Yu; Zieve, Michael E.
5
2015
Some planar monomials in characteristic 2. Zbl 1310.51006
Scherr, Zachary; Zieve, Michael E.
11
2014
Rational points on some Fermat curves and surfaces over finite fields. Zbl 1286.11099
Voloch, José Felipe; Zieve, Michael E.
5
2014
Separated Belyi maps. Zbl 1327.14161
Scherr, Zachary; Zieve, Michael E.
2
2014
On a theorem of Carlitz. Zbl 1311.11112
Zieve, Michael E.
2
2014
Handbook of finite fields. Zbl 1319.11001
238
2013
Linear relations between polynomial orbits. Zbl 1267.37043
Ghioca, Dragos; Tucker, Thomas J.; Zieve, Michael E.
23
2012
Chebyshev mappings of finite fields. Zbl 1245.11117
Rosen, Julian; Scherr, Zachary; Weiss, Benjamin; Zieve, Michael E.
2
2012
The Mordell-Lang question for endomorphisms of semiabelian varieties. Zbl 1256.14046
Ghioca, Dragos; Tucker, Thomas; Zieve, Michael E.
10
2011
Classes of permutation polynomials based on cyclotomy and an additive analogue. Zbl 1261.11081
Zieve, Michael E.
16
2010
A new family of exceptional polynomials in characteristic two. Zbl 1214.12002
Guralnick, Robert M.; Rosenberg, Joel; Zieve, Michael E.
11
2010
Polynomials with \(\text{PSL}(2)\) monodromy. Zbl 1214.12003
Guralnick, Robert M.; Zieve, Michael E.
10
2010
On hyperbolic fixed points in ultrametric dynamics. Zbl 1250.37035
Lindahl, Karl-Olof; Zieve, Michael
2
2010
\(p^k\)-torsion of genus two curves over \(\mathbb F_{p^m}\). Zbl 1197.14028
Zieve, Michael E.
1
2010
On some permutation polynomials over \(\mathbb {F}_q\) of the form \(x^r h(x^{(q-1)/d})\). Zbl 1228.11177
Zieve, Michael E.
89
2009
Permutation binomials over finite fields. Zbl 1239.11139
Masuda, Ariane M.; Zieve, Michael E.
28
2009
Polynomials with a common composite. Zbl 1195.12002
Beals, Robert M.; Wetherell, Joseph L.; Zieve, Michael E.
5
2009
Uniform bounds on pre-images under quadratic dynamical systems. Zbl 1222.11086
Faber, Xander; Hutz, Benjamin; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Tucker, Thomas J.; Zieve, Michael E.
4
2009
Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture. Zbl 1191.14027
Ghioca, Dragos; Tucker, Thomas J.; Zieve, Michael E.
37
2008
Some families of permutation polynomials over finite fields. Zbl 1204.11180
Zieve, Michael E.
33
2008
Nonisomorphic curves that become isomorphic over extensions of coprime degrees. Zbl 1160.14020
Goldstein, Daniel; Guralnick, Robert M.; Howe, Everett W.; Zieve, Michael E.
3
2008
Rational functions with linear relations. Zbl 1142.39017
Masuda, Ariane M.; Zieve, Michael E.
2
2008
Exceptional covers and bijections on rational points. Zbl 1127.14023
Guralnick, Robert M.; Tucker, Thomas J.; Zieve, Michael E.
20
2007
Nonexistence of permutation binomials of certain shapes. Zbl 1162.11396
Masuda, Ariane M.; Zieve, Michael E.
1
2007
Symplectic spreads and permutation polynomials. Zbl 1066.51005
Ball, Simeon; Zieve, Michael
14
2004
Curves of every genus with many points. II: Asymptotically good families. Zbl 1072.11041
Elkies, Noam D.; Howe, Everett W.; Kresch, Andrew; Poonen, Bjorn; Wetherell, Joseph L.; Zieve, Michael E.
10
2004
Curves of every genus with many points. I: Abelian and toric families. Zbl 1062.14027
Kresch, Andrew; Wetherell, Joseph L.; Zieve, Michael E.
8
2002
Incomplete character sums and a special class of permutations. Zbl 1065.11097
Cohen, S. D.; Niederreiter, H.; Shparlinski, I. E.; Zieve, M.
3
2001
Bivariate factorizations connecting Dickson polynomials and Galois theory. Zbl 0989.12001
Abhyankar, Shreeram S.; Cohen, Stephen D.; Zieve, Michael E.
17
2000
Factoring Dickson polynomials over finite fields. Zbl 0929.11060
Bhargava, Manjul; Zieve, Michael E.
23
1999
A note on the discriminator. Zbl 0924.11017
Zieve, Michael
5
1998
Bivariate factorizations via Galois theory, with application to exceptional polynomials. Zbl 0922.12010
Zieve, Michael
3
1998
Take-away games. Zbl 0872.90150
Zieve, Michael
3
1997
A family of exceptional polynomials in characteristic three. Zbl 0871.11087
Lenstra, H. W. jun.; Zieve, M.
11
1996
all top 5

Cited by 382 Authors

21 Zieve, Michael E.
18 Bartoli, Daniele
16 Wang, Qiang (Steven)
16 Zeng, Xiangyong
14 Hou, Xiang-Dong
14 Li, Kangquan
14 Qu, Longjiang
13 Ghioca, Dragos
11 Tucker, Thomas John
10 Ding, Zhiguo
10 Li, Nian
9 Helleseth, Tor
9 Yuan, Pingzhi
8 Mesnager, Sihem
8 Tu, Ziran
7 Ding, Cunsheng
7 Ostafe, Alina
7 Shparlinski, Igor E.
6 Gülmez Temür, Burcu
6 Zheng, Lijing
5 Kim, Kwang Ho
5 Li, Chunlei
5 Micheli, Giacomo
5 Özbudak, Ferruh
5 Timpanella, Marco
5 Zha, Zhengbang
4 Bluher, Antonia Wilson
4 Brochero Martínez, Fabio Enrique
4 Cao, Xiwang
4 Hu, Lei
4 Kan, Haibin
4 Li, Chao
4 Peng, Jie
4 Qin, Xiao’er
4 Quoos, Luciane
4 Schmidt, Kai-Uwe
4 Silverman, Joseph Hillel
4 Zhou, Yue
3 Akbary, Amir
3 Benedetto, Robert L.
3 Feng, Tao
3 Feng, Xiutao
3 Gupta, Rohit
3 Hindes, Wade
3 Hong, Shaofang
3 Howe, Everett W.
3 Hutz, Benjamin
3 Jones, Rafe
3 Lavorante, Vincenzo Pallozzi
3 Li, Lisha
3 Li, Shitao
3 Lin, Dongdai
3 Mello, Jorge
3 Moree, Pieter
3 Rai, Amritanshu
3 Sharma, Rajendra Kumar
3 Shi, Minjia
3 Wang, Yanping
3 Wu, Baofeng
3 Wu, Gaofei
3 Yuan, Mu
3 Yucas, Joseph L.
3 Zhang, Tongliang
3 Zheng, Dabin
3 Zheng, Yanbin
3 Zini, Giovanni
2 Abhyankar, Shreeram Shankar
2 Anbar, Nurdagül
2 Bell, Jason P.
2 Caullery, Florian
2 Chen, Xi
2 Cheng, Kaimin
2 Choe, Jong Hyok
2 Coulter, Robert S.
2 Elkies, Noam David
2 Evans, Ronald J.
2 Faber, Xander
2 Fan, Shilei
2 Ferraguti, Andrea
2 Fitzgerald, Robert W.
2 Fried, Michael David
2 Ge, Gennian
2 Giulietti, Massimo
2 Hidalgo, Rubén Antonio
2 Jo, Myong Chol
2 Kresch, Andrew
2 Kreso, Dijana
2 Kurlberg, Pär
2 Kyureghyan, Gohar M.
2 Larsson, Urban
2 Li, Shuxing
2 Li, Yanjun
2 Liao, Lingmin
2 Liu, Qian
2 Luca, Florian
2 Mandal, Bimal
2 Marcos, José E.
2 Masuda, Ariane M.
2 Möller, Florian
2 Müller, Peter
...and 282 more Authors
all top 5

Cited in 85 Serials

108 Finite Fields and their Applications
20 Cryptography and Communications
19 Designs, Codes and Cryptography
18 Journal of Number Theory
11 Discrete Mathematics
9 International Journal of Number Theory
8 Journal of Algebra
7 Journal of Combinatorial Theory. Series A
7 Transactions of the American Mathematical Society
6 Communications in Algebra
5 Acta Arithmetica
5 Mathematische Annalen
5 Proceedings of the American Mathematical Society
5 Applicable Algebra in Engineering, Communication and Computing
4 Duke Mathematical Journal
4 Journal of Algebraic Combinatorics
4 Journal of Algebra and its Applications
3 Discrete Applied Mathematics
3 Monatshefte für Mathematik
3 Ergodic Theory and Dynamical Systems
3 Bulletin of the American Mathematical Society. New Series
3 Advances in Mathematics of Communications
2 Bulletin of the Australian Mathematical Society
2 Advances in Mathematics
2 Canadian Mathematical Bulletin
2 Journal of Pure and Applied Algebra
2 Mathematische Zeitschrift
2 SIAM Journal on Discrete Mathematics
2 Journal de Théorie des Nombres de Bordeaux
2 Journal of Mathematical Sciences (New York)
2 Turkish Journal of Mathematics
2 Discrete and Continuous Dynamical Systems
2 Journal of Integer Sequences
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Central European Journal of Mathematics
2 São Paulo Journal of Mathematical Sciences
2 Science China. Mathematics
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Compositio Mathematica
1 Functiones et Approximatio. Commentarii Mathematici
1 Gaṇita
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Manuscripta Mathematica
1 Mathematika
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Theoretical Computer Science
1 Combinatorica
1 Journal of Symbolic Computation
1 Forum Mathematicum
1 International Journal of Foundations of Computer Science
1 IMRN. International Mathematics Research Notices
1 The Journal of Geometric Analysis
1 Expositiones Mathematicae
1 New Zealand Journal of Mathematics
1 The Electronic Journal of Combinatorics
1 Annals of Combinatorics
1 Journal of the European Mathematical Society (JEMS)
1 Integers
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Complex Analysis and Operator Theory
1 Groups, Geometry, and Dynamics
1 Acta Mathematica Sinica. Chinese Series
1 Algebra & Number Theory
1 Journal of Statistical Theory and Practice
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ
1 Moscow Journal of Combinatorics and Number Theory
1 Journal of Mathematical Research with Applications
1 Communications in Mathematics and Statistics
1 Annales Mathématiques du Québec
1 European Journal of Mathematics
1 SIAM Journal on Applied Algebra and Geometry
1 PUMP Journal of Undergraduate Research

Citations by Year