On the rank one Gross-Stark conjecture for quadratic extensions and the Deligne-Ribet \(q\)-expansion principle

DOI10.2969/ASPM/08610243zbMath1475.11210OpenAlexW4210671813MaRDI QIDQ2042501

Samit Dasgupta, Mahesh Kakde

Publication date: 20 July 2021

Full work available at URL: https://doi.org/10.2969/aspm/08610243

zbMATH Keywords

theta seriesStark conjecturesGross conjecture\(q\)-expansion principle

Mathematics Subject Classification ID

Galois representations (11F80) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (4)

Fitting ideals in number theory and arithmetic ⋮ Fitting ideals of \(p\)-ramified Iwasawa modules over totally real fields ⋮ Notes on the dual of the ideal class groups of CM-fields ⋮ Computing 𝑝-adic L-functions of totally real fields

Cites Work

• The Iwasawa conjecture for totally real fields

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