A Quick Route to Unique Factorization in Quadratic Orders

DOI10.1080/00029890.2021.1898875zbMath1470.11272arXiv2010.05033OpenAlexW3172101140WikidataQ114101907 ScholiaQ114101907MaRDI QIDQ4991620

Paul Pollack, Noah Snyder

Publication date: 3 June 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.05033

zbMATH Keywords

irreducible idealsminimal polynomialsunique factorization

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Cites Work

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• Prime-Producing Polynomials and Principal Ideal Domains
• New Computations Concerning the Cohen-Lenstra Heuristics
• Proof of the Sheldon Conjecture
• A simple criterion for the class number of a quadratic number field to be one
• A Conversational Introduction to Algebraic Number Theory
• Unique prime factorization in imaginary quadratic number fields
• Quadratic Number Theory

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