A mild Tchebotarev theorem for GL\((n)\)

DOI10.1016/j.jnt.2014.08.002zbMath1380.11066arXiv1003.4498OpenAlexW2123050365MaRDI QIDQ462839

Dinakar Ramakrishnan

Publication date: 22 October 2014

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

Full work available at URL: https://arxiv.org/abs/1003.4498

zbMATH Keywords

automorphic representationmultiplicity onerallisTchebotarev

Mathematics Subject Classification ID

Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (8)

The local Langlands correspondence in families and Ihara's lemma for \(U(n)\) ⋮ Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1) ⋮ Periods and nonvanishing of central \(L\)-values for \(\mathrm{GL}(2n)\) ⋮ Anticyclotomic Euler systems for unitary groups ⋮ A \(p\)-adic arithmetic inner product formula ⋮ On relative trace formulae: the case of Jacquet-Rallis ⋮ On the residue method for period integrals ⋮ A fundamental lemma for the Hecke algebra: the Jacquet-Rallis case

Cites Work

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• Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups
• Appendix: A refinement of the strong multiplicity one theorem for \(GL(2)\)
• On strong multiplicity one for automorphic representations.
• Periods and nonvanishing of central \(L\)-values for \(\mathrm{GL}(2n)\)
• On Euler Products and the Classification of Automorphic Forms II
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)

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