| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4583563 | Finite Fields and Their Applications | 2006 | 11 Pages |
Abstract
Swan's theorem [Pacific J. Math. 12 (1962) 1099–1106] determines the parity of the number of irreducible factors of a binary trinomial. This paper does the same for a binary tetranomial. When phrased in terms of the periodic portion of the factor-parity sequence, the result in several cases is comparable in simplicity to Swan's result for square-free trinomials.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
