Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves

Abstract

We study the average behaviour of the Iwasawa invariants for Selmer groups of elliptic curves, considered over anticyclotomic ${\mathbb{Z}}_p$-extensions in both the definite and indefinite settings. The results in this paper lie at the intersection of arithmetic statistics and Iwasawa theory.

final version, to appear in Mathematische Zeitschrift

References in corpus (2)

• Statistics for Iwasawa invariants of elliptic curves
• Comparing anticyclotomic Selmer groups of positive coranks for congruent modular forms -- Part II

Cited by in corpus (1)

• Arithmetic statistics and diophantine stability for elliptic curves