Polynomial Pell's equation

William A. Webb, Hisashi Yokota

研究成果: Article

6 引用 (Scopus)

抄録

Consider the polynomial Pell's equation X2 - DY2 = 1, where D = A2 + 2C is a monic polynomial in Z[x] and deg C < deg A. Then for A, C ∈ script Q sign[x], deg C < 2, and B = A/C ∈ script Q sign[x], a necessary and sufficient condition for the polynomial Pell's equation to have a nontrivial solution in Z[x] is obtained.

元の言語English
ページ(範囲)993-1006
ページ数14
ジャーナルProceedings of the American Mathematical Society
131
発行部数4
DOI
出版物ステータスPublished - 2003 4
外部発表Yes

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Polynomials

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

これを引用

Polynomial Pell's equation. / Webb, William A.; Yokota, Hisashi.

:: Proceedings of the American Mathematical Society, 巻 131, 番号 4, 04.2003, p. 993-1006.

研究成果: Article

Webb, William A. ; Yokota, Hisashi. / Polynomial Pell's equation. :: Proceedings of the American Mathematical Society. 2003 ; 巻 131, 番号 4. pp. 993-1006.
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