William A. Cherry's Mathematical Publications

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Preprints of articles submitted for publication

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.
 

Preprints of articles accepted for publication

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.
 

Books in Print

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
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Click here for a list of errata and a discussion of number theoretic error terms.

 

Publications in print

W. Cherry and Min Ru, Rigid Analytic Picard Theorems, Amer. J. Math. 126 (2004), 873-889. MR 2005d:32022

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
 

Editorial Work

W. Cherry and C.-C. Yang, Value Distribution Theory and Complex Dynamics, Contemporary Mathematics 303, American Mathematical Society, 2002. MR 2003g:30001
 

Unpublished Articles

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.
 

Text of lectures given

W. Cherry, Topics in p-adic function theory, text of a lecture delivered at the symposium on p-adic Nevanlinna theory and related topics, held at the Nippon Institute of Technology, November 1998.
 
 
 
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