On the exact degree of ℚ(√𝕒₁,√𝕒₂,…,√𝕒_{ℓ}) over ℚ

DOI10.1090/S0002-9939-10-10331-1zbMath1201.11102OpenAlexW1605428923MaRDI QIDQ3574802

Florian Luca, R. Balasubramanian, Ravindrananathan Thangadurai

Publication date: 2 July 2010

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-10-10331-1

zbMATH Keywords

quadratic residuesmultiquadratic field

Mathematics Subject Classification ID

Other number fields (11R21) Power residues, reciprocity (11A15)

Related Items (5)

Quadratic residue pattern and the Galois group of ℚ(√𝕒₁,√𝕒₂,…√𝕒_{𝕟}) ⋮ Non primitive roots with a prescribed residue pattern ⋮ Density of primes in \(l\)-th power residues ⋮ Analytic number theory in India during 2001-2010 ⋮ Residue pattern for infinitely many primes

Cites Work

• Unnamed Item
• Patterns of quadratic residues and nonresidues for infinitely many primes
• Rational points on elliptic curves over Q in elementary abelian 2-extensions of Q.
• A generalisation of Artin's conjecture for primitive roots
• Arithmetical properties of value sets of polynomials

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