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초록· 키워드
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A Fermat-type equation deals with representing a nonzero constant as a sum of kth powers of nonconstant functions.
Suppose that k≥2.
Consider ∑pi=1 fi(z)k = 1.
Let p be the smallest number of functions that give the above identity. We consider the Fermat-type equation for Mobius transformations and obtain k ≤ p ≤ k +1.
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참고문헌 (10)
참고문헌 신청
C.W. Curtis / 1984 / Linear Algebra / Springer-Verlag : 161 ~ 162
D. Newman / 1979 / Waring's problem for the ring of polynomials / J. Number Theory 11 : 477 ~ 487
D.-I. Kim / 2005 / Waring's problem for linear polynomials and Laurent polynomials / Rocky Mountain J. Math. 35 (2) : 1533 ~ 1553
G. Gundersen / 2003 / Complex functional equations, Proceedings of the Summer School, Complex Differential and Functional Equations, MekrijAarvi 2000, ed. by Ilpo Laine, University of
H. Fujimoto / 1974 / On meromorphic maps into the complex projective space / J. Math. Soc. Japan 26 : 272 ~ 288
D. Newman / 1979 / Waring's problem for the ring of polynomials / J. Number Theory 11 : 477 ~ 487
D.-I. Kim / 2005 / Waring's problem for linear polynomials and Laurent polynomials / Rocky Mountain J. Math. 35 (2) : 1533 ~ 1553
G. Gundersen / 2003 / Complex functional equations, Proceedings of the Summer School, Complex Differential and Functional Equations, MekrijAarvi 2000, ed. by Ilpo Laine, University of
H. Fujimoto / 1974 / On meromorphic maps into the complex projective space / J. Math. Soc. Japan 26 : 272 ~ 288
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