Congruences modulo 8 for class numbers of general quadratic fields \(\mathbb{Q}(\sqrt{m})\) and \(\mathbb{Q}(\sqrt{-m})\)
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Publication:584312
DOI10.1016/0022-314X(89)90089-9zbMath0693.12005MaRDI QIDQ584312
Publication date: 1989
Published in: Journal of Number Theory (Search for Journal in Brave)
Quadratic extensions (11R11) Units and factorization (11R27) Class numbers, class groups, discriminants (11R29)
Related Items (2)
On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\) ⋮ Congruence formulae modulo powers of 2 for class numbers of cyclic quartic fields
Cites Work
- On the congruences for the class numbers of the quadratic fields whose discriminants are divisible by 8
- Ten formulae of type Ankeny-Artin-Chowla for class numbers of general cyclic quartic fields
- On a class number relation of imaginary Abelian fields
- Congruences between class numbers of quadratic number fields
- KUMMER'S CONGRUENCE FOR GENERALIZED BERNOULLI NUMBERS AND ITS APPLICATION
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