On the 2-part of the class number of imaginary quadratic number fields

DOI10.1016/0022-314X(76)90100-1zbMath0329.12003MaRDI QIDQ1227024

Arnold K. Pizer

Publication date: 1976

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

zbMATH Keywords

imaginary quadratic fieldsquaternion algebraEichler ordertype number2-part of class numberdiscriminants divisible by three or fewer primes

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (13)

Algebraic number fields ⋮ Congruences modulo 16 for the class numbers of complex quadratic fields ⋮ Congruent numbers, quadratic forms and \(K_2\) ⋮ On two of Liouville's quaternary forms ⋮ A NEW CHARACTERISATION FOR QUARTIC RESIDUACITY OF ⋮ Congruences modulo 2 for dimensions of spaces of cusp forms ⋮ Congruence modulo 4 for Andrews' even parts below odd parts partition function ⋮ Nonexistence of generalized bent functions from \(\mathbb{Z}_{2}^{n}\) to \(\mathbb{Z}_{m}\) ⋮ On linear congruence relations between class numbers of quadratic fields ⋮ A proof of the mod 4 unimodal sequence conjectures and related mock theta functions ⋮ A classical Diophantine problem and modular forms of weight \(3/2\) ⋮ On tame kernel and class group in terms of quadratic forms. ⋮ Zeros of 2-adic 𝐿-functions and congruences for class numbers and fundamental units

Cites Work

• Unnamed Item
• Über die Klassenzahl des Körpers \(P(\sqrt{-2p})\) mit einer Primzahl \(p\ne 2\)
• Zur Zahlentheorie der Quaternionen-Algebren.
• Type numbers of Eichler orders.
• Note on primes of type x2 + 32y2, class number, and residuacity.
• Über die Teilbarkeit durch 2³ der Klassenzahl der quadratischen Zahlkörper mit genau zwei verschiedenen Diskriminantenprimteilern
• Zur Berechnung der 2-Klassenzahl der quadratischen Zahlkörper mit genau zwei verschiedenen Diskrimantenprimteilern.

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