Selmer groups in Iwasawa theory and congruences

descriptionPublicationkeyboard_double_arrow_right Article 09 Dec 2019 English Publisher:The Royal SocietyJournal:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 378, page 20,180,442 (issn: 1364-503X, eissn: 1471-2962,

Copyright policy )

Authors: Ramdorai Sujatha;

doi: 10.1098/rsta.2018.0442

pmid: 31813367

Selmer groups in Iwasawa theory and congruences

- Summary
- Subjects
- Metrics

Abstract

This article outlines the behaviour of Iwasawa μ -invariants for Selmer groups of elliptic curves when the residual representations are equivalent. This article is part of a discussion meeting issue ‘Srinivasa Ramanujan: in celebration of the centenary of his election as FRS’.

Related Organizations

University of British Columbia
Canada

Keywords

Selmer groups, number theory, elliptic curves, modular forms, residual representation, Congruences for modular and \(p\)-adic modular forms, Iwasawa theory, \( \mu \)-invariant

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average