Symmetric cube \(L\)-functions for \(\text{GL}_2\) are entire

DOI10.2307/121091zbMath0957.11026arXivmath/9909198OpenAlexW2963291630MaRDI QIDQ1970468

Henry H. Kim, Freydoon Shahidi

Publication date: 26 March 2001

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

Full work available at URL: https://arxiv.org/abs/math/9909198

zbMATH Keywords

holomorphysymmetric cube \(L\)-functionnon-monomial cusp forms

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)

Boundary and Eisenstein cohomology of \(G_2(\mathbb{Z})\) ⋮ Relations between cusp forms sharing Hecke eigenvalues ⋮ On the value-distribution of the difference between logarithms of two symmetric power L-functions ⋮ Mean values connected with the Dedekind zeta-function of a non-normal cubic field ⋮ Langlands-Shahidi method and poles of automorphic \(L\)-functions. III: Exceptional groups ⋮ Holomorphy of Rankin triple \(L\)-functions; special values and root numbers for symmetric cube \(L\)-functions ⋮ On the mean-square of the error term related to \(\sum_{n\leq x} \lambda^2 (n^j)\) ⋮ Cubic twists of \(\text{GL}(2)\) automorphic \(L\)-functions ⋮ Values of symmetric cube $L$-functions and Fourier coefficients of Siegel Eisenstein series of degree-3 ⋮ Riemann’s zeta function and beyond ⋮ A construction of residues of Eisenstein series and related square-integrable classes in the cohomology of arithmetic groups of low \(k\)-rank ⋮ Upper and lower bounds at \(s=1\) for certain Dirichlet series with Euler product. ⋮ LIMIT MULTIPLICITIES FOR PRINCIPAL CONGRUENCE SUBGROUPS OF AND

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