On linear congruence relations between class numbers of quadratic fields

DOI10.1016/0022-314X(90)90142-EzbMath0693.12006MaRDI QIDQ584313

Tsuyoshi Uehara

Publication date: 1990

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

zbMATH Keywords

unitscongruencesquadratic fieldsclass numbers

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class numbers, class groups, discriminants (11R29)

Related Items (1)

On linear congruence relations for Kubota-Leopoldt 2-adic \(L\)-functions.

Cites Work

• Unnamed Item
• On the class number of quadratic number fields whose discriminants have only odd prime divisors \(p\equiv 1\bmod 4\)
• On the congruences for the class numbers of the quadratic fields whose discriminants are divisible by 8
• On a class number relation of imaginary Abelian fields
• On the 2-part of the class number of imaginary quadratic number fields
• Congruences between class numbers of quadratic number fields
• 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)
• A congruence relating to class number of complex quadratic 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
• Relations congruentielles linéaires entre nombres de classes de corps quadratiques
• On the class numbers of Q(√±2p) modulo 16, for p ≡ 1 (mod 8) a prime
• Atkin-Lehner involutions and class number residuality
• On the class number Q(√-p) modulo 16, for p ≡ 1 (mod 8) a prime

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