School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

4-18-2024

Abstract

We study the average behavior of the Iwasawa invariants for Selmer groups of elliptic curves. These results lie at the intersection of arithmetic statistics and Iwasawa theory. We obtain lower bounds for the density of rational elliptic curves with prescribed Iwasawa invariants.

Comments

Original published version available at https://doi.org/10.1142/S1793042124500556

Publication Title

International Journal of Number Theory

DOI

10.1142/S1793042124500556

Download

Included in

Mathematics Commons

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.