On -invariants attached to cyclic cubic number fields

DOI10.1112/S1461157015000224zbMath1397.11150OpenAlexW2906648132MaRDI QIDQ3465562

Daniel Delbourgo, Chao Qin

Publication date: 22 January 2016

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s1461157015000224

zbMATH Keywords

\(p\)-adic \(L\)-function\(\lambda\)-invariantsclass group towercyclotomic \(\mathbb{Z}_{p}\)-extension

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)

Related Items (1)

On Iwasawa 𝜆-invariants for abelian number fields and random matrix heuristics

Cites Work

• Class fields of abelian extensions of \(\mathbb Q\)
• The determination of units in real cyclic sextic fields
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• Kummer's criterion for totally real number fields
• A generalization of Kummer's criterion
• The Iwasawa conjecture for totally real fields
• A Dirichlet series expansion for the p-adic zeta-function
• The convergence of Euler products over p-adic number fields
• Modeling λ‐invariants by p‐adic random matrices
• Computing $p$-adic $L$-functions of totally real number fields

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