On the class number Q(√-p) modulo 16, for p ≡ 1 (mod 8) a prime

DOI10.4064/aa-39-4-381-398zbMath0393.12008OpenAlexW1489002570MaRDI QIDQ4175656

Kenneth S. Williams

Publication date: 1981

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205778

zbMATH Keywords

Class NumberDivisibility of Class Number of Imaginary Quadratic FieldUnits of Real Quadratic Field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Iwasawa theory (11R23)

Related Items (9)

Congruent numbers, quadratic forms and \(K_2\) ⋮ Congruences dyadiques entre nombres de classes de corps quadratiques. (Dyadic congruences between class numbers of quadratic fields) ⋮ Congruent numbers and congruences between half-integral weight modular forms ⋮ A necessary condition for \(p\) and \(2p\) to be congruent for a prime \(p \equiv 1 \pmod 8\) ⋮ The infinitude of $\mathbb {Q}(\sqrt {-p})$ with class number divisible by 16 ⋮ On linear congruence relations between class numbers of quadratic fields ⋮ Congruences relating class numbers of quadratic orders and Zagier's sums ⋮ THE BOUNDARY LERCH ZETA-FUNCTION AND SHORT CHARACTER SUMS À LA Y. YAMAMOTO ⋮ On abelian 2-ramification torsion modules of quadratic fields

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