Statistics for Iwasawa invariants of elliptic curves, II

IF 0.5 3区数学 Q3 MATHEMATICS

International Journal of Number Theory Pub Date : 2024-04-18 DOI:10.1142/s1793042124500556

Debanjana Kundu, Anwesh Ray

引用次数: 0

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.

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椭圆曲线岩泽不变式的统计，II

我们研究了椭圆曲线塞尔玛群岩泽不变式的平均行为。这些结果是算术统计和岩泽理论的交叉点。我们获得了具有规定岩泽不变式的有理椭圆曲线密度的下限。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Number Theory 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

4-8 weeks

期刊介绍： This journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.