The quadratic and quartic character of certain quadratic units. I

DOI10.2140/pjm.1977.71.101zbMath0335.12006OpenAlexW2076677594MaRDI QIDQ1229254

Kenneth S. Williams, Philip A. Leonard

Publication date: 1977

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1977.71.101

zbMATH Keywords

fundamental unit of real quadratic fieldquadratic and biquadratic residue charactersrepresentations of primes by positive-definite binary quadratic forms

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) General binary quadratic forms (11E16)

Related Items (6)

Algebraic number fields ⋮ Quartic residuacity and the quadratic character of certain quadratic irrationalities ⋮ The quartic characters of certain quadratic units ⋮ New reciprocity laws for octic residues and nonresidues ⋮ On the quadratic character of quadratic units ⋮ Quartic residues and binary quadratic forms

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