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Criteria for the Irreducibility of Polynomials
The Annals of Mathematics, 1933Es sei \(f(x)\) ein Polynom \(n\)-ten Grades mit ganzen rationalen Koeffizienten, das an den \(m\) voneinander verschiedenen ganzen rationalen Stellen \(a_1, a_2, \dots, a_m\) den Wert \(+1\) annimmt, wobei \(4 < m\leq n\) ist. Verf. zeigt, daß \(f(x)\) nur in Faktoren der Form \[ g(x) = \prod_{\nu=1}^m (x-a_\nu) h(x) \pm 1 \] zerfallen kann.
Dorwart, H. L., Ore, Øystein
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