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The class number of \(Q(\sqrt p)\) modulo 4, for \(p\equiv 5(\mod 8)\) a prime

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Publication:1258332
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DOI10.2140/PJM.1981.92.241zbMath0408.12008OpenAlexW2025453829MaRDI QIDQ1258332

Kenneth S. Williams

Publication date: 1981

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1981.92.241


zbMATH Keywords

Class NumberQuadratic Field


Mathematics Subject Classification ID

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


Related Items (3)

Congruences modulo 8 for the class numbers of \(Q(\sqrt{\pm p})\), p=3 (mod 4) a prime ⋮ Congruences relating class numbers of quadratic orders and Zagier's sums ⋮ Some congruences connecting quadratic class numbers with continued fractions







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