WARING'S PROBLEM FOR LINEAR FRACTIONAL TRANSFORMATIONS

Abstract

Waring's problem deals with representing any nonconstant function in a set of functions as a sum of kth powers of noni=1 fi(z)k = z. constant functions in the same set. Consider Suppose that k ≥ 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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