Irreducibility of Certain Quadrinomials
نویسندگان
چکیده
منابع مشابه
On the Reducibility of Certain Quadrinomials
In 2007 West Coast Number Theory conference Walsh asked to determine all irreducible polynomials of the form P (x) = x + x + x + 4 with integer exponents i > j > k > 0, such that for some positive integer l the polynomial P (x) is reducible in Z[x]. In this paper we prove that such polynomials are quadrinomials x4m + x3m + x2m + 4, where m is an odd positive integer. In addition, Walsh asked fo...
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In the previous paper [FLSU], we determined the Galois groups associated with some polynomials constructed through the use of circulant matrices. In the process of determining the Galois groups, the irreducibility of the trinomial x + x +m was established, where p represents an odd prime and m an integer ≥ 2. The approach there was based on a method of Lebesgue [Le]. In this paper, we discuss t...
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ژورنال
عنوان ژورنال: Journal of the Chosun Natural Science
سال: 2014
ISSN: 2005-1042
DOI: 10.13160/ricns.2014.7.4.283