Base change and triple product 𝐿-series

DOI10.1090/ERT/602zbMath1495.11068OpenAlexW4229011697MaRDI QIDQ5068105

Shunsuke Yamana, Ming-Lun Hsieh

Publication date: 5 April 2022

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/ert/602

zbMATH Keywords

central valuebase changecuspidal automorphic representationstriple product

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the functional equation of the Siegel series
• The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula
• The central critical value of a triple product \(L\)-function
• Square integrability of representations on \(p\)-adic symmetric spaces
• On the functional equations of the triple L-functions
• Trilinear forms and the central values of triple product \(L\)-functions
• A regularized Siegel-Weil formula: The first term identity
• Modularity of the Rankin-Selberg \(L\)-series, and multiplicity one for \(\mathrm{SL}(2)\)
• Ramified degenerate principal series representations for \(Sp(n)\)
• Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
• On poles of twisted tensor \(L\)-functions
• Gamma factors for the Asai cube representation
• Gamma factors for the asai representation of \(\mathrm{GL}_2\)
• A new proof to the period problems of \(\mathrm{GL}(2)\)
• Sur la formule de Siegel dans la théorie des groupes classiques
• Theta series and automorphic forms on \(\text{GL}_2\)
• On endoscopy and the refined Gross–Prasad conjecture for (SO₅, SO₄)
• The Gross-Zagier Formula on Shimura Curves
• Automorphic period and the central value of Rankin-Selberg L-function

This page was built for publication: Base change and triple product 𝐿-series