Quartic residuacity and the quadratic character of certain quadratic irrationalities

DOI10.1142/S1793042115501158zbMath1381.11006OpenAlexW1821687765MaRDI QIDQ3458271

Kenneth S. Williams, Ronald J. Evans

Publication date: 18 December 2015

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

Full work available at URL: https://doi.org/10.1142/s1793042115501158

zbMATH Keywords

binary quadratic formsdiscriminantfundamental unitquadratic characterirrationalitiesquartic residuacityGauss's theory of genera

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Power residues, reciprocity (11A15)

Cites Work

• Residuacity and genus theory of forms
• Residuacity of primes
• The quadratic and quartic character of certain quadratic units. I
• On the quadratic character of quadratic units

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