Solving Fermat-type equations $x^5+y^5=dz^p$
نویسندگان
چکیده
منابع مشابه
SOLVING FERMAT - TYPE EQUATIONS x
In this paper, we are interested in solving the Fermat-type equations x5 + y5 = dzp, where d is a positive integer and p a prime number ≥ 7. We describe a new method based on modularity theorems which allows us to improve all earlier results for this equation. We finally discuss the present limits of the method by looking at the case d = 3.
متن کاملSolving Fermat-type equations x5+y5=dzp
In this paper, we are interested in solving the Fermat-type equations x+y = dz where d is a positive integer and p a prime number ≥ 7. We describe a new method based on modularity theorems which allows us to improve all the results of [1]. We finally discuss the present limitations of the method by looking at the case d = 3.
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2010
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-09-02294-7