Subconvexity for GL(3)×GL(2) twists

Subconvexity for GL(3)×GL(2) twists

Let π be a SL(3,Z) Hecke-Maass cusp form, f be a SL(2,Z) holomorphic cusp form or Maass cusp form and χ be any non-trivial character modp, where p is prime. We show that the L-function associated with this triplet satisfyL(12,π×f×χ)≪π,f,ϵp32−116+ϵ. The method also yields the subconvex boundL(12,π⊗χ)...

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Veröffentlicht in:Advances in mathematics (New York. 1965) 2022-08, Vol.404, p.108420, Article 108420
Hauptverfasser: Sharma, Prahlad, Sawin, Will
Format: Artikel
Sprache:eng
Schlagworte:
[formula omitted] twists
Automorphic forms
Delta method
L functions
Subconvexity
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Zusammenfassung:Let π be a SL(3,Z) Hecke-Maass cusp form, f be a SL(2,Z) holomorphic cusp form or Maass cusp form and χ be any non-trivial character modp, where p is prime. We show that the L-function associated with this triplet satisfyL(12,π×f×χ)≪π,f,ϵp32−116+ϵ. The method also yields the subconvex boundL(12,π⊗χ)≪π,ϵp34−132+ϵ.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2022.108420