抄録
The nonmonic polynomial Pell's equation is X 2 - DY 2 = 1, where X, Y and D = A 2 + 2C must be polynomials over Z. Let π be the smallest product of distinct odd primes satisfying πB = πA/C ∈ Z[x]. Then necessary and sufficient conditions for which the polynomial Pell's equation has nontrivial solutions in Z[x] are obtained.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 89-104 |
| ページ数 | 16 |
| ジャーナル | JP Journal of Algebra, Number Theory and Applications |
| 巻 | 24 |
| 号 | 1 |
| 出版ステータス | Published - 2012 2月 1 |
ASJC Scopus subject areas
- 代数と数論