Statistics for Iwasawa Invariants of elliptic curves, $\rm{II}$
Number Theory
2024-06-18 v2
Abstract
We study the average behaviour of the Iwasawa invariants for Selmer groups of elliptic curves. These results lie at the intersection of arithmetic statistics and Iwasawa theory. We obtain unconditional lower bounds for the density of rational elliptic curves with prescribed Iwasawa invariants.
Keywords
Cite
@article{arxiv.2106.12095,
title = {Statistics for Iwasawa Invariants of elliptic curves, $\rm{II}$},
author = {Debanjana Kundu and Anwesh Ray},
journal= {arXiv preprint arXiv:2106.12095},
year = {2024}
}
Comments
23 pages, minor changes. Accepted for publication in the International Journal of number theory