Divisibility of anticyclotomic \(L\)-functions and theta functions with complex multiplication

DOI10.4007/annals.2006.163.767zbMath1111.11047OpenAlexW2139864544MaRDI QIDQ2501201

Tobias Finis

Publication date: 4 September 2006

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2006.163.767

zbMATH Keywords

anticyclotomic extensionsIwasawa theoryHecke L-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Discontinuous groups and automorphic forms (11Fxx)

Related Items (11)

Fourier-Jacobi periods and the central value of Rankin-Selberg \(L\)-functions ⋮ A deformation problem for Galois representations over imaginary quadratic fields ⋮ Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields ⋮ A regularized Siegel-Weil formula on \(U(1,1)\) and application to theta lifting from \(U(1)\) to \(U(1,1)\) ⋮ The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\) ⋮ An \(l\neq p\)-interpolation of genuine \(p\)-adic \(L\)-functions ⋮ The Iwasawa \(\mu \)-invariant of \(p\)-adic Hecke \(L\)-functions ⋮ Denominators of Eisenstein cohomology classes for \(\text{GL}_2\) over imaginary quadratic fields ⋮ Rubin's conjecture on local units in the anticyclotomic tower at inert primes ⋮ Ordinary families of Klingen Eisenstein series on symplectic groups ⋮ Introduction to Skinner-Urban’s Work on the Iwasawa Main Conjecture for GL2

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