On some permutation polynomials over 𝔽_ {𝕢} of the form 𝕩^{𝕣} 𝕙 (𝕩^{(𝕢-1)/𝕕}) M Zieve Proceedings of the American Mathematical Society 137 (7), 2209-2216, 2009 | 159 | 2009 |

Intersections of polynomial orbits, and a dynamical Mordell–Lang conjecture D Ghioca, TJ Tucker, ME Zieve Inventiones mathematicae 171 (2), 463-483, 2008 | 100 | 2008 |

Permutation binomials over finite fields A Masuda, M Zieve Transactions of the American Mathematical Society 361 (8), 4169-4180, 2009 | 76 | 2009 |

Linear relations between polynomial orbits D Ghioca, TJ Tucker, ME Zieve | 66 | 2012 |

Permutation polynomials on F_q induced from bijective Redei functions on subgroups of the multiplicative group of F_q M Zieve arXiv preprint arXiv:1310.0776, 2013 | 62 | 2013 |

Some families of permutation polynomials over finite fields ME Zieve International Journal of Number Theory 4 (05), 851-857, 2008 | 62 | 2008 |

Cycles of polynomial mappings ME Zieve University of California, Berkeley, 1996 | 57 | 1996 |

Exceptional covers and bijections on rational points RM Guralnick, TJ Tucker, ME Zieve International Mathematics Research Notices 2007, rnm004, 2007 | 48 | 2007 |

Factoring Dickson polynomials over finite fields M Bhargava, ME Zieve Finite Fields and Their Applications 5 (2), 103-111, 1999 | 47 | 1999 |

Planar functions and perfect nonlinear monomials over finite fields ME Zieve Designs, Codes and Cryptography 75, 71-80, 2015 | 41 | 2015 |

Permutation polynomials of the form X+ γTr (Xk) G Kyureghyan, M Zieve Contemporary developments in finite fields and applications, 178-194, 2016 | 38 | 2016 |

On Ritt's polynomial decomposition theorems ME Zieve, P Müller arXiv preprint arXiv:0807.3578, 2008 | 38 | 2008 |

Curves of every genus with many points, II: Asymptotically good families ND Elkies, EW Howe, A Kresch, B Poonen, JL Wetherell, ME Zieve | 37 | 2004 |

Bivariate factorizations connecting Dickson polynomials and Galois theory S Abhyankar, S Cohen, M Zieve Transactions of the American Mathematical Society 352 (6), 2871-2887, 2000 | 31 | 2000 |

Symplectic spreads and permutation polynomials S Ball, M Zieve International conference on finite fields and applications, 79-88, 2003 | 29 | 2003 |

Classes of permutation polynomials based on cyclotomy and an additive analogue ME Zieve Additive Number Theory: Festschrift In Honor of the Sixtieth Birthday of …, 2010 | 28 | 2010 |

Curves of every genus with many points, I: Abelian and toric families A Kresch, JL Wetherell, ME Zieve Journal of Algebra 250 (1), 353-370, 2002 | 26 | 2002 |

Uniform bounds on pre-images under quadratic dynamical systems X Faber, B Hutz, P Ingram, R Jones, M Manes, TJ Tucker, ME Zieve arXiv preprint arXiv:0805.0441, 2008 | 24 | 2008 |

The Mordell–Lang question for endomorphisms of semiabelian varieties D Ghioca, T Tucker, ME Zieve Journal de théorie des nombres de Bordeaux 23 (3), 645-666, 2011 | 23 | 2011 |

Polynomials with PSL (2) monodromy RM Guralnick, ME Zieve Annals of mathematics, 1315-1359, 2010 | 23 | 2010 |