Congruences modulo 8 for the class numbers of \(Q(\sqrt{\pm p})\), p=3 (mod 4) a prime

DOI10.1016/0022-314X(82)90024-5zbMath0494.12003MaRDI QIDQ1169002

Kenneth S. Williams

Publication date: 1982

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

zbMATH Keywords

quadratic fieldsclass numbers

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23)

Related Items (2)

Congruences dyadiques entre nombres de classes de corps quadratiques. (Dyadic congruences between class numbers of quadratic fields) ⋮ Proof of a conjecture of Guy on class numbers

Cites Work

• The class number of \(\mathbb Q(\sqrt{-p})\) modulo 4, for \(p\equiv 3\) (mod 4) a prime
• The class number of \(Q(\sqrt p)\) modulo 4, for \(p\equiv 5(\mod 8)\) a prime
• The power of 2 dividing the class-number of a binary quadratic discriminant
• Congruences modulo 16 for the class numbers of the quadratic fields Q(√±p) and Q(√±2p) for p a prime congruent to 5 modulo 8
• Class Numbers of Real Quadratic Number Fields
• Unnamed Item
• Unnamed Item

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