An exercise concerning the selfdual cusp forms on \(\mathrm{GL}(3)\)

DOI10.1007/s13226-014-0088-1zbMath1365.11058OpenAlexW2048312444MaRDI QIDQ5963325

Dinakar Ramakrishnan

Publication date: 7 March 2016

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-014-0088-1

zbMATH Keywords

automorphic formsadjointselfdual representationssymmetric square

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (13)

Relations between cusp forms sharing Hecke eigenvalues ⋮ Irreducible adjoint representations in prime power dimensions, with an application ⋮ Unnamed Item ⋮ On signs of Fourier coefficients of Hecke-Maass cusp forms on 𝐺𝐿₃ ⋮ On the analytic strong multiplicity one for SL(2) ⋮ Fourier coefficients of automorphic L-functions ⋮ On automorphy of certain Galois representations of \(\mathrm{GO}_{4}\)-type ⋮ Even Galois representations and the Fontaine-Mazur conjecture ⋮ On the global sup-norm of \(\mathrm{GL}(3)\) cusp forms ⋮ Fourier coefficients of \(\mathrm{GL}(N)\) automorphic forms in arithmetic progressions ⋮ On the exceptional set of the generalized Ramanujan conjecture for \(\mathrm{GL}(3)\) ⋮ Strong orthogonality between the Möbius function, additive characters and the coefficients of the \(L\)-functions of degree three ⋮ A conjectural refinement of strong multiplicity one for GL(n)

Cites Work

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• Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
• Functoriality for the classical groups
• On explicit lifts of cusp forms from \(\text{GL}_m\) to classical groups
• Self-dual representations of division algebras and Weil groups: A contrast
• L-Indistinguishability For SL (2)
• On Euler Products and the Classification of Automorphic Representations I
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$

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