Nonmonic polynomial Pell's equations

H. Yokota

研究成果: Article

抜粋

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.

元の言語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
24
発行部数1
出版物ステータスPublished - 2012 2 1

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ASJC Scopus subject areas

  • Algebra and Number Theory

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