The Rankin–Selberg Method for Automorphic Distributions

DOI10.1007/978-0-8176-4646-2_4zbMath1302.11033arXivmath/0605783OpenAlexW1604246369MaRDI QIDQ2935985

Wilfried Schmid, Stephen D. Miller

Publication date: 2 January 2015

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605783

zbMATH Keywords

integral representationsRankin-Selbergautomorphic distributionsexterior squareanalytic \(L\)-functions

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (10)

Composition formulas in the Weyl calculus ⋮ Pairings of automorphic distributions ⋮ Intertwining the geodesic flow and the Schrödinger group on hyperbolic surfaces ⋮ Archimedean zeta integrals for the exterior square \(L\)-functions on \(\mathrm{GL}_{n}\) ⋮ Calculus of principal series Whittaker functions on \(\mathrm{SL}(n, \mathbb R)\) ⋮ Invariant trilinear forms on spherical principal series of real rank one semisimple Lie groups ⋮ Converse theorems for automorphic distributions and Maass forms of level \(N\) ⋮ Transition mean values of shifted convolution sums ⋮ Automorphic pairs of distributions on \(\mathbb{R}\) and Maass forms of real weight ⋮ The archimedean theory of the exterior square $L$-functions over $\mathbb{Q}$

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