Ta Thi Hoai An, W. Cherry and
Julie Tzu-Yueh
Wang, Algebraic Degeneracy
of Non-Archimedean Analytic Maps.
Also available on the preprint arXiv:
arXiv:0708.0401v1.
W. Cherry and A. Eremenko, Landau's theorem for
holomorphic curves in projective space and the Kobayashi metric
on hyperplane complements, to appear in
Pure Appl. Math. Q.
Also available on the preprint arXiv:
math.CV 0607743.
W. Cherry and
Z. Ye,
Nevanlinna's
Theory of Value Distribution. The Second Main Theorem
and its Error Terms,
Springer Monographs in Mathematics,
Springer-Verlag,
2001.
MR 2002h:30030
Click the following to order from:
Amazon.com.
Click here for a list of
errata and a discussion of number theoretic error terms.
W. Cherry and Julie Tzu-Yueh Wang, Non-Archimedean Analytic Maps to Algebraic Curves, in W. Cherry and C.-C. Yang, Value Distribution Theory and Complex Dynamics, Contemporary Mathematics 303, American Mathematical Society, 2002, pages 7-36. MR 2004b:30080
W. Cherry and Julie Tzu-Yueh Wang, Uniqueness polynomials for entire functions, Internat. J. Math. 13 (2002), 323-332. MR 2003d:30033
A. Boutabaa,
W. Cherry, and
A. Escassut,
Unique range sets in positive characteristic,
Acta
Arith. 103 (2002), 169-189.
MR 2003m:30067
Click here
for the Erratum.
W. Cherry, Applications of explicit error terms in Nevanlinna theory, in R. P. Gilbert et al. (eds.), Recent Developments in Complex Analysis and Computer Algebra, Kluwer Academic Publishers, 1999, 47-67. MR 2001e:30047
M. Bonk and W. Cherry, Metric distortion and triangle maps, Annales Academiæ Scientiarium Fennicæ Mathematica 24 (1999), 489-510. MR 2001b:30009
W. Cherry and C.-C. Yang, Uniqueness of non-Archimedean entire functions sharing sets of values counting multiplicity, Proc. Amer. Math. Soc. 127 (1999), 967-971. MR 99f:11154
W. Cherry, A survey of Nevanlinna theory over non-Archimedean fields, Bull. Hong Kong Math. Soc. 1 (1997), 235-249. MR 99a:32047
W. Cherry and Z. Ye, Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problem , Trans. Amer. Math. Soc. 349 (1997), 5043-5071. MR 98c:11072
M. Bonk and W. Cherry, Bounds on spherical derivatives for maps into regions with symmetries, J. Anal. Math. 69 (1996), 249-274. MR 97k:30059
W. Cherry, A non-Archimedean analog of the Kobayashi semi-distance and its non-degeneracy on Abelian varieties, Illinois J. Math. 40 (1996), 123-140. MR 97b:32049
W. Cherry, Non-archimedean analytic curves in Abelian varieties, Math. Ann. 300 (1994), 393-404. MR 96i:14021
W. Cherry, "The Nevanlinna error term for coverings, generically surjective case," in W. Stoll, ed., Proceedings of the Symposium on Value Distribution Theory in Several Complex Variables, Notre Dame Mathematical Lectures 12, University of Notre Dame Press, 1992. MR 95b:30040
S. Lang
and W. Cherry, Topics in Nevanlinna
Theory, Lecture Notes in Mathematics 1433, Springer-Verlag,
1990. MR 91k:32025
W. Cherry, Yi's Unique Range Set Construction in the Number Field Case. Also available on the preprint arXiv: arXiv:math/0605492v1.
W. Cherry,
Non-Archimedean big Picard theorems.
Also available on the preprint arXiv:
arXiv:math/0207081v1.