Topics in meromorphic functions
Abstract
In the first chapter, the author confirms one of the questions raised by Serge Lang in 1987, who was motivated by analogies between value distribution theory and number theory. First some more convenient upper bounds of the error terms in Nevanlinna theory are proved, such as logarithmic derivative lemma, second main theorem and ramification theorem. It is then demonstrated that all of these upper bounds are essentially sharp. In the second chapter, the author first proves some equivalent statements on J-stability of families of critically finite entire functions. Then, with these in hand, a conjecture concerning stability of the family of exponential functions is affirmatively answered in some cases.
Degree
Ph.D.
Advisors
Drasin, Purdue University.
Subject Area
Mathematics
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