The sum of two S-units being a perfect power in global function fields

In: Mathematica Slovaca, vol. 63, no. 1

István Gaál - Michael Pohst

Detaily:

Rok, strany: 2013, 69 - 76

Kľúčové slová:

S-units, global function fields

DOI: https://doi.org/10.2478/s12175-012-0083-0

O článku:

Let $x₁$ and $x₂$ be integers divisible only by some fixed primes. Is it possible that $x₁+x₂$ is a perfect power? Special cases of the equation $x₁+x₂=y^k$ were formerly considered over $\mathbb{Z}$. In this paper we develop an algorithm to solve this equation over global algebraic function fields. Our method is illustrated by two explicit examples.

Ako citovať:

ISO 690:

Gaál, I., Pohst, M. 2013. The sum of two S-units being a perfect power in global function fields. In Mathematica Slovaca, vol. 63, no.1, pp. 69-76. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0083-0

APA:

Gaál, I., Pohst, M. (2013). The sum of two S-units being a perfect power in global function fields. Mathematica Slovaca, 63(1), 69-76. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0083-0

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