On the analytic strong multiplicity one for SL(2)

DOI10.1142/s179304212350118xOpenAlexW4380077395MaRDI QIDQ6086900

Unnamed Author

Publication date: 11 December 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179304212350118x

zbMATH Keywords

multiplicity one\(L\)-packetanalytic strong multiplicity oneGelbart-Jacquet liftstrong multiplicity one

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Cites Work

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• A strong multiplicity one theorem for \(\mathrm{SL}_2\)
• A theorem on analytic strong multiplicity one
• Endoscopy, theta-liftings, and period integrals for the unitary group in three variables.
• Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
• Addendum to: ``A strong multiplicity one theorem for \(\mathrm{SL}_2\)
• Bounds for traces of Hecke operators and applications to modular and elliptic curves over a finite field
• Some results on multiplicities for SL(n)
• Lectures on automorphic \(L\)-functions
• The analytic strong multiplicity one theorem for \(\text{GL}_m(\mathbb A_K)\)
• Effective multiplicity one on GL n and narrow zero-free regions for Rankin-Selberg L- functions
• Analytic Proof of the Strong Multiplicity One Theorem
• L-Indistinguishability For SL (2)
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• Counting automorphic forms on norm one tori
• An exercise concerning the selfdual cusp forms on \(\mathrm{GL}(3)\)

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