Biquadratic Pólya fields with only one quadratic Pólya subfield

DOI10.1016/J.JNT.2014.04.003zbMath1296.11135OpenAlexW2018300496MaRDI QIDQ740387

Bahar Heidaryan, Ali Rajaei

Publication date: 2 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.04.003

zbMATH Keywords

integer-valued polynomialsbiquadratic fieldsPólya fields

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04) Galois cohomology (11R34)

Related Items (10)

Totally real bi-quadratic fields with large Pólya groups ⋮ Non-Pólya bi-quadratic fields with an Euclidean ideal class ⋮ Calculating the density of solutions of equations related to the Pólya–Ostrowski group through Markov chains ⋮ Some questions on biquadratic Pólya fields ⋮ Pólya groups of the imaginary bicyclic biquadratic number fields ⋮ PÓLYA FIELDS THAT ARE SPLITTING FIELDS OF S3-FIELDS ⋮ PólyaS₃-extensions of ℚ ⋮ From Pólya fields to Pólya groups. I: Galois extensions ⋮ A survey on fixed divisors ⋮ Relative Pólya group and Pólya dihedral extensions of \(\mathbb{Q}\)

Cites Work

• Unnamed Item
• Units over totally real \(C_2\times C_2\) fields
• Cubic, quartic and sextic Pólya fields
• Integer valued polynomials over a number field
• Sur le rang du 2-groupe de classes de 𝑄({√{𝑚}},{√{𝑑}}) où 𝑚=2 ou un premier 𝑝≡1(𝑚𝑜𝑑4)
• Integer-Valued Polynomials

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