REVIEW 1 cited by
Exponents of class groups of certain imaginary quadratic fields
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Exponents of class groups of certain imaginary quadratic fields
read the original abstract
Let $n>1$ be an odd integer. We prove that there are infinitely many imaginary quadratic fields of the form $\mathbb{Q}(\sqrt{x^2-2y^n})$ whose ideal class group has an element of order $n$. This family gives a counter example to a conjecture by H. Wada \cite{WA70} on the structure of ideal class groups.
Forward citations
Cited by 1 Pith paper
-
Branched covers of $\mathbb{P}^1$ and divisibility in class group
n-torsion in the Jacobian of an m-gonal curve yields n-torsion in the class group of an associated number field K via branched covers of the projective line.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.