Supplements to the theory of quartic residues

DOI10.4064/aa97-4-5zbMath1049.11007OpenAlexW1964412236MaRDI QIDQ2717607

Zhi-Hong Sun

Publication date: 17 June 2001

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa97-4-5

zbMATH Keywords

Gaussian integersring class fieldsquartic residuesrational reciprocity

Mathematics Subject Classification ID

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

Related Items (12)

Generalized polynomial exponential sums and their fourth power mean ⋮ Consecutive numbers with the same Legendre symbol ⋮ Values of Lucas sequences modulo primes ⋮ New reciprocity laws for octic residues and nonresidues ⋮ Small prime $k$th power residues for $k=2,3,4$: A reciprocity laws approach ⋮ Quartic residues and sums involving \({4k}\choose{2k}\) ⋮ On the quadratic character of quadratic units ⋮ On the number of incongruent residues of \(x^4+ax^2+bx\) modulo \(p\) ⋮ Quartic, octic residues and Lucas sequences ⋮ Sun's conjectures on fourth powers in the class group of binary quadratic forms ⋮ Quartic residues and binary quadratic forms ⋮ Congruences for q^[p/8 (mod p) under the condition 4n²p = x² + qy²]

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