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arxiv: 1010.2712 · v2 · pith:NNZ7HHHBnew · submitted 2010-10-13 · 🧮 math.GM

Residues of functions of Cayley-Dickson variables and Fermat's last theorem

classification 🧮 math.GM
keywords cayley-dicksontheoremvariablesfermatfunctionfunctionslastmeromorphic
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Function theory of Cayley-Dickson variables is applied to Fermat's last theorem. For this the homotopy theorem, Rouch\'e's theorem and residues of meromorphic functions over Cayley-Dickson algebras are used. A special meromorphic function of Cayley-Dickson variables is constructed and its properties are investigated.

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