# Polynomial Pell's equation

William A. Webb, Hisashi Yokota

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 993-1006 14 Proceedings of the American Mathematical Society 131 4 https://doi.org/10.1090/S0002-9939-02-06934-4 Published - 2003 4 Yes

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.

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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