An equivariant main conjecture in Iwasawa theory without the assumption \(\mu = 0\)

DOI10.1016/J.JNT.2016.07.017zbMath1414.11144OpenAlexW2507301543WikidataQ122952423 ScholiaQ122952423MaRDI QIDQ331142

Reza Taleb

Publication date: 26 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.07.017

zbMATH Keywords

Iwasawa theory\(p\)-adic \(L\)-functionsIwasawa \(\mu\)-invariant

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items (1)

Iwasawa theory for class groups of CM fields with \(p = 2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An equivariant main conjecture in Iwasawa theory and the Coates-Sinnott conjecture
• Equivariant Main Conjecture, Fitting ideals and annihilators in Iwasawa theory
• Values of abelian \(L\)-functions at negative integers over totally real fields
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• Values at negative integers of zeta functions and \(p\)-adic zeta functions
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Toward equivariant Iwasawa theory
• The Iwasawa conjecture for totally real fields
• Equivariant Iwasawa theory and non-abelian Stark-type conjectures
• On the “main conjecture” of equivariant Iwasawa theory
• An Equivariant Main Conjecture in Iwasawa theory and applications
• On the Coates-Sinnott Conjecture
• The lifted root number conjecture and Iwasawa theory

This page was built for publication: An equivariant main conjecture in Iwasawa theory without the assumption \(\mu = 0\)