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arXiv · 1907.03959

Irreducibility criterion for certain trinomials

Biswajit Koley·A. Satyanarayana Reddy
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Abstract

In this article we study the irreducibility of polynomials of the form $x^n+\epsilon_1 x^m+p^k\epsilon_2$, $p$ being a prime number. We will show that they are irreducible for $m=1$. We have also provided the cyclotomic factors and reducibility criterion for trinomials of the form $x^n+\epsilon_1x^m+\epsilon_2$, where $\epsilon_i\in \{\, -1,+1\,\}$. This corrects few of the existing results of W. Ljuggren's on $x^n+\epsilon_1x^m+\epsilon_2$.

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Biswajit Koley, A. Satyanarayana Reddy. 2019-07-09. Irreducibility criterion for certain trinomials. https://arxiv.org/abs/1907.03959

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