Quadratic residue pattern and the Galois group of ℚ(√𝕒₁,√𝕒₂,…√𝕒_{𝕟})

DOI10.1090/proc/15987zbMath1502.11003OpenAlexW4214852947MaRDI QIDQ5096651

C. G. Karthick Babu, Anirban Mukhopadhyay

Publication date: 18 August 2022

Full work available at URL: https://doi.org/10.1090/proc/15987

zbMATH Keywords

quadratic extensionsprime numberquadratic residue

Mathematics Subject Classification ID

Quadratic extensions (11R11) Sums over primes (11L20) Power residues, reciprocity (11A15)

Related Items (2)

Non primitive roots with a prescribed residue pattern ⋮ Residue pattern for infinitely many primes

Cites Work

• Patterns of quadratic residues and nonresidues for infinitely many primes
• Quadratic residues and the combinatorics of sign multiplication
• On the exact degree of ℚ(√𝕒₁,√𝕒₂,…,√𝕒_{ℓ}) over ℚ
• Rational points on elliptic curves over Q in elementary abelian 2-extensions of Q.
• Arithmetical properties of value sets of polynomials
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