Primitive Divisors, Dynamical Zsigmondy Sets, and Vojta's Conjecture

[1]  Patrick Ingram.  Canonical heights for Hénon maps , 2011, 1111.3609.

[2]  Khoa Nguyen,et al.  ABC implies primitive prime divisors in arithmetic dynamics , 2012, 1208.2989.

[3]  C. Lee.  An upper bound for the height for regular affine automorphisms of $${{{\mathbb{A}}^ n}}$$ , 2013 .

[4]  J. Silverman,et al.  On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties , 2012, 1208.0815.

[5]  Uniform estimates for primitive divisors in elliptic divisibility sequences , 2012 .

[6]  Vojta's Conjecture and Dynamics , 2011 .

[7]  Paul Vojta.  Diophantine Approximation and Nevanlinna Theory , 2011 .

[8]  Shu Kawaguchi.  Local and global canonical height functions for affine space regular automorphisms , 2009, 0909.3573.

[9]  C. Lee.  An upper bound for the height for regular affine automorphisms of A^n , 2009, 0909.3107.

[10]  Minoru Yabuta,et al.  Primitive divisors of certain elliptic divisibility sequences , 2012 .

[11]  Joseph H. Silverman,et al.  Primitive divisors in arithmetic dynamics , 2009, Mathematical Proceedings of the Cambridge Philosophical Society.

[12]  A quantitative primitive divisor result for points on elliptic curves , 2009 .

[13]  T. J. Tucker,et al.  The dynamical Mordell-Lang problem for étale maps , 2008, American Journal of Mathematics.

[14]  Joseph H. Silverman,et al.  A Local-Global Criterion for Dynamics on P^1 , 2008 .

[15]  Divisibility sequences for elliptic curves with complex multiplication , 2008 .

[16]  E. Hrushovski,et al.  Difference fields and descent in algebraic dynamics. I , 2007, Journal of the Institute of Mathematics of Jussieu.

[17]  J. Silverman.  The Arithmetic of Dynamical Systems , 2007 .

[18]  M. Baker.  A finiteness theorem for canonical heights attached to rational maps over function fields , 2006, math/0601046.

[19]  R. Benedetto.  Heights and preperiodic points of polynomials over function fields , 2005, math/0510444.

[20]  V. Guedj.  Ergodic properties of rational mappings with large topological degree , 2005 .

[21]  J. Silverman.  Generalized Greatest Common Divisors, Divisibility Sequences, and Vojta’s Conjecture for Blowups , 2004, math/0407415.

[22]  Yann Bugeaud,et al.  An upper bound for the G.C.D. of an - 1 and bn -1 , 2003 .

[23]  B. Poonen.  Using Elliptic Curves of Rank One towards the Undecidability of Hilbert's Tenth Problem over Rings of Algebraic Integers , 2002, ANTS.

[24]  Nir Ailon,et al.  Torsion points on curves and common divisors of $a^k-1$ and $b^k-1$ , 2002, math/0202102.

[25]  Guillaume Hanrot,et al.  Existence of Primitive Divisors of Lucas and Lehmer Numbers , 2001 .

[26]  Joseph H. Silverman,et al.  Diophantine Geometry: An Introduction , 2000 .

[27]  Gregory S. Call,et al.  Canonical heights on varieties with morphisms , 1993 .

[28]  J. Silverman.  Rational points on K3 surfaces: A new canonical height , 1991 .

[29]  L. Szpiro.  Discriminant et conducteur des courbes elliptiques , 1990 .

[30]  Joseph H. Silverman,et al.  Wieferich's criterion and the abc-conjecture , 1988 .

[31]  J. Oesterlé,et al.  Nouvelles approches du «théorème» de Fermat , 1988 .

[32]  Paul Vojta.  Diophantine Approximations and Value Distribution Theory , 1987 .

[33]  S. Lang.  Fundamentals of Diophantine Geometry , 1983 .

[34]  Morgan Ward,et al.  Memoir on Elliptic Divisibility Sequences , 1948 .

[35]  K. Zsigmondy,et al.  Zur Theorie der Potenzreste , 1892 .