A multi-variable Rankin-Selberg integral for a product of \(\mathrm{GL}_2\)-twisted spinor \(L\)-functions

DOI10.1007/s00605-015-0868-7zbMath1361.11035arXiv1505.01045OpenAlexW2964098694MaRDI QIDQ328591

Xin Shen, Joseph Hundley

Publication date: 20 October 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01045

zbMATH Keywords

integral representationRankin-Selbergtheta correspondenceFourier-Jacobi coefficientsspinor \(L\)-function

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

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A multivariate integral representation on 𝐺𝐿₂×𝐺𝑆𝑝₄ inspired by the pullback formula ⋮ Multivariate Rankin-Selberg integrals on $\mathrm{GL}_4$ and $\mathrm{GU}(2,2)$

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