On the Stark-Shintani conjecture and cyclotomic \({\mathbb{Z}}_ p\)-extensions of class fields over real quadratic fields. II

DOI10.2748/tmj/1178228809zbMath0549.12009OpenAlexW2042997766WikidataQ123017588 ScholiaQ123017588MaRDI QIDQ800421

Jin Nakagawa

Publication date: 1984

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228809

zbMATH Keywords

unitspartial zeta functionformal serieslocal unitscyclotomic \({\mathbb{Z}}_ p\)-extensionStark-Shintani conjectures

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) (zeta (s)) and (L(s, chi)) (11M06) Zeta functions and (L)-functions of number fields (11R42) Cyclotomic extensions (11R18)

Related Items

Computing Stark units for totally real cubic fields

Cites Work

• On the Stark-Shintani conjecture and cyclotomic \({\mathbb{Z}}_ p\)-extensions of class fields over real quadratic fields
• On p-adic L-functions associated to elliptic curves
• Division values in local fields
• \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
• \(L\)-functions at \(s=1\). III: Totally real fields and Hilbert's twelfth problem
• On certain ray class invariants of real quadratic fields
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• On some modules in the theory of cyclotomic fields
• On the units of algebraic number fields
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