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.

arXiv commentfinal version, to appear in Mathematische Zeitschrift

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Cited by in corpus (1)

• Arithmetic statistics and diophantine stability for elliptic curves