On the equivariant Tamagawa number conjecture for \(A_4\)-extensions of number fields

DOI10.1016/j.jnt.2006.01.003zbMath1163.11343OpenAlexW2038206802WikidataQ123346776 ScholiaQ123346776MaRDI QIDQ863331

Tejaswi Navilarekallu

Publication date: 26 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.01.003

zbMATH Keywords

equivariant Tamagawa number conjectureTate sequences\(A_4\)-extensions

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) (K_0) of group rings and orders (19A31)

Related Items

Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture ⋮ On derivatives of Artin \(L\)-series ⋮ On the p‐adic Stark conjecture at s=1 and applications ⋮ On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results

Cites Work

• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• On the Galois structure of algebraic integers and S-units
• Finite groups with trivial class groups
• On the equivariant Tamagawa number conjecture for Tate motives
• Congruences between derivatives of abelian \(L\)-functions at \(s =0\)
• Multiplicative Galois Module Structure
• The analytic theory of multiplicative Galois structure
• Tamagawa numbers for motives with (noncommutative) coefficients, II
• On equivariant global epsilon constants for certain dihedral extensions
• Tamagawa numbers for motives with (non-commutative) coefficients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item