Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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FERMAT-TYPE EQUATIONS FOR MÖBIUS TRANSFORMATIONS

  • Kim, Dong-Il (Department of Mathematics Hallym University)
  • Received : 2009.12.16
  • Accepted : 2010.02.04
  • Published : 2010.03.01
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Abstract

A Fermat-type equation deals with representing a nonzero constant as a sum of kth powers of nonconstant functions. Suppose that $k{\geq}2$. Consider $\sum_{i=1}^{p}\;f_i(z)^k=1$. Let p be the smallest number of functions that give the above identity. We consider the Fermat-type equation for MAobius transformations and obtain $k{\leq}p{\leq}k+1$.

Keywords

References

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