Nouvelle demonstration d'une congruence modulo 16 entre les nombres de classes d'ideaux de \(Q(\sqrt{-2p})\) et \(Q(\sqrt{2p})\) pour p premier = 1 (mod 4)

DOI10.3792/pjaa.57.507zbMath0509.12006OpenAlexW2070161933MaRDI QIDQ1838516

Pierre Kaplan

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.507

zbMATH Keywords

quadratic fieldscongruence between class numberscongruence of Kaplan- Williams

Mathematics Subject Classification ID

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

Related Items (3)

Congruences dyadiques entre nombres de classes de corps quadratiques. (Dyadic congruences between class numbers of quadratic fields) ⋮ Module de continuité des fonctions \(L\) 2-adiques des caractères quadratiques. (Modulus of continuity of 2-adic L-functions of quadratic characters) ⋮ On linear congruence relations between class numbers of quadratic fields

Cites Work

• Unnamed Item
• Finding paths of length \(k\) in \(O^{*}(2^k)\) time
• Congruences between class numbers of quadratic number fields
• 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
• On the class numbers of Q(√±2p) modulo 16, for p ≡ 1 (mod 8) a prime

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