Non-Pólya bi-quadratic fields with an Euclidean ideal class

DOI10.1016/j.jnt.2023.09.005arXiv2105.14436OpenAlexW3170356737MaRDI QIDQ6184599

Anupam Saikia, Jaitra Chattopadhyay

Publication date: 25 January 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.14436

zbMATH Keywords

Pólya fieldPólya groupEuclidean ideal

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Class numbers, class groups, discriminants (11R29) Galois cohomology (11R34)

Cites Work

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• Biquadratic Pólya fields with only one quadratic Pólya subfield
• Units over totally real \(C_2\times C_2\) fields
• Some non-Pólya biquadratic fields with low ramification
• Cubic, quartic and sextic Pólya fields
• Integer valued polynomials over a number field
• Biquadratic fields having a non-principal Euclidean ideal class
• Integer-Valued Polynomials
• Two classes of number fields with a non-principal Euclidean ideal
• $\mathbb{Q}(\sqrt{2}, \sqrt{35})$ HAS A NON-PRINCIPAL EUCLIDEAN IDEAL
• The Number of Real Quadratic Fields Having Units of Negative Norm

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