On the Iwasawa lambda invariant of an imaginary abelian field of conductor 3pn+1

Autor:	Shoichi Nakajima, Humio Ichimura, Hiroki Sumida-Takahashi
Rok vydání:	2013
Předmět:	Discrete mathematics Pure mathematics Algebra and Number Theory Mathematics::Number Theory Prime number Invariant (mathematics) Abelian group Iwasawa theory Lambda Conductor Mathematics
Zdroj:	Journal of Number Theory. 133:787-801
ISSN:	0022-314X
DOI:	10.1016/j.jnt.2012.08.022
Popis:	Let p be an odd prime number with p≠3, and K=Q(cos(2π/p),ζ3). Let Kn be the n-th layer of the cyclotomic Zp-extension over K, and λn the Iwasawa lambda invariant of the cyclotomic Z3-extension over Kn. By a theorem of Friedman, it is known that λn is stable for sufficiently large n. We prove that when p⩽599, we have λn=λ0 for all n⩾1 with the help of computer. Further, for these p, we calculate the invariant λ0.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::84acc46686ba235c165a2e9b07aa485f https://doi.org/10.1016/j.jnt.2012.08.022 Zobrazit plný text záznamu Full Text from ScienceDirect