Base change for Stark-type conjectures "over \mathbb{Z}"
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Publication:2769332
DOI10.1515/crll.2002.010zbMath1074.11062OpenAlexW1979931454WikidataQ123133132 ScholiaQ123133132MaRDI QIDQ2769332
Publication date: 5 February 2002
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/crll.2002.010
Units and factorization (11R27) 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 (15)
\(p\)-adic Abelian Stark conjectures at \(s=1\) ⋮ Iwasawa theory of Rubin-Stark units and class groups ⋮ Congruences between derivatives of abelian \(L\)-functions at \(s =0\) ⋮ The equivariant Tamagawa number conjecture and the extended abelian Stark conjecture ⋮ The finitude of tamely ramified pro-\(p\) extensions of number fields with cyclic \(p\)-class groups ⋮ On derivatives of Artin \(L\)-series ⋮ The Rubin--Stark conjecture for a special class of function field extensions ⋮ Computation of Stark-Tamagawa units ⋮ Numerical evidence for higher order Stark-type conjectures ⋮ On Stark elements of arbitrary weight and their \(p\)-adic families ⋮ On higher order Stickelberger-type theorems ⋮ Generalized Stark formulae over function fields ⋮ Special values of Abelian \(L\)-functions at \(s=0\) ⋮ Base change for higher Stickelberger ideals ⋮ Verifying a \(p\)-adic abelian Stark conjecture at \(s=1\).
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