The unramified computation of a Shimura integral for \(\mathrm{SL}(2)\times \mathrm{GL}(2)\)

DOI10.1216/RMJ.2023.53.1313zbMath1528.11038arXiv2210.13653OpenAlexW4386273647MaRDI QIDQ6184979

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Publication date: 5 January 2024

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.13653

zbMATH Keywords

\(L\)-functionRankin-Selberg integralCasselman-Shalika formula

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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• Rankin-Selberg Convolutions
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• $L$-functions for symplectic groups
• Integrals Derived from the Doubling Method
• Elements of the representation theory of the Jacobi group

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