ON THE 2-ADIC IWASAWA LAMBDA INVARIANTS OF THE p-CYCLOTOMIC FIELDS AND THEIR QUADRATIC TWISTS

DOI10.1142/S1793042113500929zbMath1318.11140MaRDI QIDQ5408805

Shoichi Nakajima, Humio Ichimura, Hiroki Sumida-Takahashi

Publication date: 11 April 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

cyclotomic fieldquadratic twistDirichlet characterIwasawa lambda invariant

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (1)

Biographical Sketch of Professor Humio Ichimura

Cites Work

• On the parity of the class number of an imaginary abelian field of conductor \(2^{a} p^{b}\)
• On the 2-part of the class numbers of cyclotomic fields of prime power conductors
• Cyclotomic Z//2-extensions of J-fields
• Ideal class groups in basic \(\mathbb Z_{p_1}\times\dots\times\mathbb Z_{p_s}\)-extensions of abelian number fields
• The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension
• On the Iwasawa lambda invariant of an imaginary abelian field of conductor \(3p^{n+1}\)
• Class group of a cyclotomic Z_p×Z_l-extension
• On p-adic L-functions and cyclotomic fields

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