On the Diophantine equation $f(x)f(y)=f(z)^n$ involving Laurent polynomials
نویسندگان
چکیده
منابع مشابه
On the Diophantine Equation
In this paper, we study the Diophantine equation x2 + C = 2yn in positive integers x, y with gcd(x, y) = 1, where n ≥ 3 and C is a positive integer. If C ≡ 1 (mod 4) we give a very sharp bound for prime values of the exponent n; our main tool here is the result on existence of primitive divisors in Lehmer sequence due Bilu, Hanrot and Voutier. When C 6≡ 1 (mod 4) we explain how the equation can...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2018
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm6920-1-2017