Properties of solutions to Pell’s equation over the polynomial ring

DOI10.1090/proc/15994zbMath1498.11095arXiv2101.12180OpenAlexW4210925339MaRDI QIDQ5086925

Nikoleta Kalaydzhieva

Publication date: 8 July 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.12180

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Polynomials in number theory (11C08) Polynomials, factorization in commutative rings (13P05) Polynomials (irreducibility, etc.) (11R09)

Cites Work

• The polynomial Pell equation
• POLYNOMIAL IDENTITIES AND HAUPTMODULN
• Factorizations of 𝑏ⁿ±1, 𝑏=2, 3, 5, 6, 7, 10, 11, 12 Up to High Powers
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