More on the Error Term

  • William Cherry
  • Zhuan Ye
Part of the Springer Monographs in Mathematics book series (SMM)


In this final chapter, we further explore the error term in the Second Main Theorem and the Logarithmic Derivative Lemma. In §7.1, we construct examples showing that in the general case, the error terms we have given in the previous chapters are essentially the best possible. In §7.2, we explain how by putting rather modest growth restrictions on the functions under consideration and by enlarging the exceptional set, the lower order terms in the error term can be further improved. Finally, in §7.3, we compute the precise form of the error term for some of the more familiar special functions.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • William Cherry
    • 1
  • Zhuan Ye
    • 2
  1. 1.Department of MathematicsUniversity of North TexasDentonUSA
  2. 2.Department of Mathematical SciencesNorthern Illinois UniversityDeKalbUSA

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