THE GENERALIZED FERMAT CONJECTURE

被引：0
|
作者：
Garcia-Maynez, Adalberto [1 ]
Gary, Margarita [2 ]
Pimienta Acosta, Adolfo [3 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Area Invest Cient Circuito Exterior, Ciudad Univ Coyoacan, Mexico City 04510, DF, Mexico
[2] Univ Costa, CUC, Dept Ciencias Nat & Exactas, Calle 58 55-66, Barranquilla, Colombia
[3] Univ Simon Bolivar, Fac Ciencias Basicas & Biomed, Calle 58 55-132, Barranquilla, Colombia
来源：
MATHEMATICA SLOVACA | 2019年 / 69卷 / 02期
关键词：
tangent; Fermat curve; Chebyshev polynomials;
D O I：
10.1515/ms-2017-0225
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If a; b; c are non-zero integers, we considerer the following problem: for which values of n the line ax + by + cz = 0 may be tangent to the curve x(n) + y(n) = z(n) ? We give a partial solution: if n = 5 or if n 1 is a prime a number, then the answer is the line cannot be tangent to the curve. This problem is strongly related to Fermat' s Last Theorem. (C) 2019 Mathematical Institute Slovak Academy of Sciences
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页码：321 / 326
页数：6
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