Class number indivisibility for quadratic function fields

DOI10.1016/J.JNT.2010.05.003zbMath1253.11106OpenAlexW2084461167MaRDI QIDQ708270

Siman Wong

Publication date: 11 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.05.003

zbMATH Keywords

function fieldsquadratic formsclass number relationsquadratic fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Quadratic forms over global rings and fields (11E12) Class numbers, class groups, discriminants (11R29)

Related Items (2)

Divisibility of class numbers of imaginary quadratic function fields by a fixed odd number ⋮ Indivisibility of class numbers of real quadratic function fields

Cites Work

• Class number formulas for quadratic forms over \(GF[q,x\)]
• Proof of the existence of infinitely many imaginary quadratic fields whose class number is not divisible by 3
• On class number relations over function fields
• A class number relation over function fields
• Class number relations for quadratic forms over \(GF(q,x)\)
• Function fields with class number indivisible by a prime l
• Heuristics on Class Groups: Some Good Primes are not too Good
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