On derivatives of Artin \(L\)-series

DOI10.1007/s00222-011-0320-0zbMath1239.11128OpenAlexW2050101534MaRDI QIDQ648061

David J. Burns

Publication date: 22 November 2011

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-011-0320-0

zbMATH Keywords

annihilatorsArtin L-seriesrefined Stark conjectures

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (20)

On non-abelian higher special elements of \(p\)-adic representations ⋮ Computing annihilators of class groups from derivatives of $L$-functions ⋮ Integrality of Stickelberger elements and the equivariant Tamagawa number conjecture ⋮ On derivatives of \(p\)-adic \(L\)-series at \(s = 0\) ⋮ A Brumer-Stark conjecture for non-abelian Galois extensions ⋮ On the Brumer-Stark conjecture and refinements ⋮ On non-abelian Stark-type conjectures ⋮ On special elements in higher algebraic \(K\)-theory and the Lichtenbaum-Gross conjecture ⋮ On Geometric Iwasawa Theory and Special Values of Zeta Functions ⋮ Integrality of Stickelberger elements attached to unramified extensions of imaginary quadratic fields ⋮ THE EQUIVALENCE OF RUBIN'S CONJECTURE AND THE ETNC/LRNC FOR CERTAIN BIQUADRATIC EXTENSIONS ⋮ Numerical evidence for higher order Stark-type conjectures ⋮ On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results ⋮ Annihilating wild kernels ⋮ On higher order Stickelberger-type theorems ⋮ On the \(p\)-adic Beilinson conjecture and the equivariant Tamagawa number conjecture ⋮ On the non-abelian Brumer-Stark conjecture and the equivariant Iwasawa main conjecture ⋮ On non-abelian Brumer and Brumer–Stark conjecture for monomial CM-extensions ⋮ Conjectures of Brumer, Gross and Stark ⋮ ON HIGHER-ORDER STICKELBERGER-TYPE THEOREMS FOR MULTI-QUADRATIC EXTENSIONS

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