Holomorphy of adjoint L-functions for \(\mathrm{GL}(n):n\le 4\)
DOI10.1007/s00208-021-02189-4zbMath1491.11054arXiv1903.09881OpenAlexW3158500097MaRDI QIDQ832500
Publication date: 25 March 2022
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.09881
Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Zeta functions and (L)-functions of number fields (11R42) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)
Cites Work
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- The adjoint \(L\)-function for \(\text{GL}_5\)
- A Rankin-Selberg integral for the adjoint representation of \(GL_ 3\)
- The adjoint representation \(L\)-function for GL(\(n\))
- On Artin L-functions
- Les constantes locales de l'équation fonctionnelle de la fonction L d'Artin d'une représentation orthogonale
- A trace formula for symmetric spaces
- On zeroes of the twisted tensor \(L\)-function
- Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
- A Siegel-Weil identity for \(G_2\) and poles of \(L\)-functions
- Drinfeld shtukas and Langlands correspondence.
- Lectures on automorphic \(L\)-functions
- A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
- Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture
- On the Archimedean local gamma factors for adjoint representation of \(\mathrm{GL}_3\). I
- The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
- On the continuity of Arthur’s trace formula: the semisimple terms
- Eisenstein Series and the Selberg Trace Formula. II
- Rankin-Selberg Convolutions
- Effective multiplicity one on GL n and narrow zero-free regions for Rankin-Selberg L- functions
- Beyond endoscopy via the trace formula: 1. Poisson summation and isolation of special representations
- L-Indistinguishability For SL (2)
- On the Holomorphy of Certain Dirichlet Series
- A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
- The adjoint L-function of GL(4)
- Calculs De Facteurs Epsilon De Paires Pour GL n Sur Un Corps Local, I
- Beyond Endoscopy via the trace formula, II: Asymptotic expansions of Fourier transforms and bounds towards the Ramanujan conjecture
- Linear algebraic groups.
- Smooth transfer of Kloosterman integrals
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