Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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WARING'S PROBLEM FOR LINEAR FRACTIONAL TRANSFORMATIONS

  • Kim, Dong-Il (Department of Mathematics Hallym University)
  • Received : 2010.03.15
  • Accepted : 2010.06.01
  • Published : 2010.06.30
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Abstract

Waring's problem deals with representing any nonconstant function in a set of functions as a sum of kth powers of nonconstant functions in the same set. Consider ${\sum}_{i=1}^p\;f_i(z)^k=z$. Suppose that $k{\geq}2$. Let p be the smallest number of functions that give the above identity. We consider Waring's problem for the set of linear fractional transformations and obtain p = k.

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Acknowledgement

Supported by : Hallym University

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