6-torsion and integral points on quartic surfaces


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Date

2024-03-20

Publication Type

Working Paper

ETH Bibliography

yes

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Data

Abstract

We prove matching upper and lower bounds for the average of the 6-torsion of class groups of quadratic fields. Furthermore, we count the number of integer solutions on an affine quartic surface.

Publication status

published

Editor

Book title

Journal / series

Volume

Pages / Article No.

2403.13359

Publisher

Cornell University

Event

Edition / version

v1

Methods

Software

Geographic location

Date collected

Date created

Subject

Organisational unit

02889 - ETH Institut für Theoretische Studien / ETH Institute for Theoretical Studies

Notes

Funding

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