Name
Abstract | ||
|---|---|---|
Let f = a(0) + a(1)x + center dot center dot center dot + a(n)x(n) is an element of Z[x] be such that a(0) >= a(1) >= center dot center dot center dot >= a(n) > 0. If either a(0) is prime, or an is prime and a(n) >= a(0)/q where q denotes the smallest prime divisor of a(0), we show that f is irreducible in Z[x] if and only if the list (a(0), a(1),..., a(n)) does not consist of (n + 1)/d consecutive constant lists of length d > 1. This result generalizes the irreducibility criterion given by A. J. Bevelacqua previously in this MONTHLY. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1080/00029890.2020.1718952 | AMERICAN MATHEMATICAL MONTHLY |
Keywords | DocType | Volume |
MSC | Journal | 127 |
Issue | ISSN | Citations |
5 | 0002-9890 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jitender Singh | 1 | 1 | 2.07 |
| Sanjay Kumar | 2 | 0 | 2.03 |