How to Submit
Browse
Events
Communities
About

The Congruent Number Problem and Its Connection with Elliptic Curves

13 February 2024, Version 1
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

Number theory, a mathematical domain, centers on integers and their patterns. It often requires advanced methods to solve even simple problems. The Congruent Number Problem, unsolved for centuries, exemplifies this challenge. This survey article highlights how studying congruent numbers motivates exploring elliptic curves and how insights from these curves advance solving the Congruent Number Problem. The elegant connections between these subjects are striking.

Keywords

Congruent Numbers
Elliptic Curves
Connections

Comments

Comments are not moderated before they are posted, but they can be removed by the site moderators if they are found to be in contravention of our Commenting and Discussion Policy [opens in a new tab] - please read this policy before you post. Comments should be used for scholarly discussion of the content in question. You can find more information about how to use the commenting feature here [opens in a new tab] .
This site is protected by reCAPTCHA and the Google Privacy Policy [opens in a new tab] and Terms of Service [opens in a new tab] apply.

Version History

Feb 13, 2024 Version 1

Metrics

319
361
0
Views
Downloads
Citations

License

All Rights Reserved

DOI

10.33774/coe-2024-5xmgx
D O I: 10.33774/coe-2024-5xmgx [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) declare that they have sought and gained approval from the relevant ethics committee/IRB for this research and its publication.

Share