Proof of a conjecture of Guy on class numbers

DOI10.1142/S1793042115500724zbMath1325.11120arXiv1407.3261OpenAlexW3104994463WikidataQ114072030 ScholiaQ114072030MaRDI QIDQ5253887

Soohyun Park, Lynn Chua, Allen Yuan, Benjamin Gunby

Publication date: 5 June 2015

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

Full work available at URL: https://arxiv.org/abs/1407.3261

zbMATH Keywords

quadratic fieldsclass numberscontinued fractions

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Related Items (3)

Congruences for odd class numbers of quadratic fields with odd discriminant ⋮ Congruences relating class numbers of quadratic orders and Zagier's sums ⋮ Some congruences connecting quadratic class numbers with continued fractions

Cites Work

• Congruences modulo 8 for the class numbers of \(Q(\sqrt{\pm p})\), p=3 (mod 4) a prime
• The class number of \(\mathbb Q(\sqrt{-p})\) modulo 4, for \(p\equiv 3\) (mod 4) a prime
• The power of 2 dividing the class-number of a binary quadratic discriminant
• Fundamental units of real quadratic fields of odd class number
• The Congruence (p - 1/2)! ≡± 1 (mod p)

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