On the size of Satake parameters for unitary cuspidal automorphic representations for \(\mathrm{GL}(4)\)
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Publication:740888
DOI10.1016/J.JNT.2013.04.017zbMath1297.11040arXiv1308.1470OpenAlexW2094644826MaRDI QIDQ740888
Publication date: 9 September 2014
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.1470
Related Items (2)
Arithmetic distribution of tempered components of cuspidal representations of \(\mathrm{GL}(3)\) ⋮ On the exceptional set of the generalized Ramanujan conjecture for \(\mathrm{GL}(3)\)
Cites Work
- Determination of cusp forms on \(\mathrm{GL}(2)\) by coefficients restricted to quadratic subfields (with an appendix by Dipendra Prasad and Dinakar Ramakrishnan)
- On the Ramanujan conjecture over number fields
- Représentations galoisiennes associées aux représentations automorphes autoduales de \(GL(n)\). (Galois representations associated with self-dual automorphic representations of \(GL(n)\))
- On the coefficients of cusp forms
- Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
- Cuspidality of symmetric powers with applications.
- A Cuspidality Criterion for the Exterior Square Transfer of Cusp Forms on GL(4)
- Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
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