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

引用

页码：321 / 326

页数：6

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