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- W2736738314 abstract "In this paper we deal with a problem of Pethő related to existence of a quartic algebraic integer α for whichβ=4α4α4−1−αα−1 is a quadratic algebraic number. By studying rational solutions of certain Diophantine system we prove that there are infinitely many α's such that the corresponding β is quadratic. Moreover, we present a description of quartic numbers α such that the corresponding β is a quadratic real number." @default.
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- W2736738314 date "2018-11-01" @default.
- W2736738314 modified "2023-10-13" @default.
- W2736738314 title "On a problem of Pethő" @default.
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- W2736738314 doi "https://doi.org/10.1016/j.jsc.2017.11.013" @default.
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