Eisenstein series for \(\mathrm{SL}(2)\)

DOI10.1007/s11425-010-4097-1zbMath1266.11071OpenAlexW2057964389MaRDI QIDQ625872

Stephen S. Kudla, Tonghai Yang

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4097-1

zbMATH Keywords

derivativeEisenstein seriesWeil representationlocal Whittaker functions

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

Gross-Zagier type CM value formulas on \(X_0^\ast(p)\) ⋮ On a conjecture of Chen and Yui: Resultants and discriminants ⋮ An explicit formula for the Fourier coefficients of Eisenstein series attached to lattices ⋮ Eisenstein series for the Weil representation ⋮ On a conjecture of Chen and Yui: Fricke groups ⋮ On the pullback of an arithmetic theta function ⋮ Faltings heights of abelian varieties with complex multiplication ⋮ A classification of harmonic Maass forms ⋮ On a conjecture of Yui and Zagier ⋮ Nearly holomorphic automorphic forms on \(\text{SL}_2\) ⋮ Twisted Hilbert modular surfaces, arithmetic intersections and the Jacquet-Langlands correspondence ⋮ ANALYTIC PROPERTIES OF EISENSTEIN SERIES AND STANDARD -FUNCTIONS ⋮ Special values of hypergeometric functions and periods of CM elliptic curves ⋮ The height of CM points on orthogonal Shimura varieties and Colmez's conjecture ⋮ Lattices with many Borcherds products ⋮ Polyharmonic Maass forms for \(\mathrm{PSL}(2,\mathbb Z)\) ⋮ CM values of higher automorphic Green functions for orthogonal groups ⋮ Singular units and isogenies between CM elliptic curves ⋮ Holomorphic Borcherds products of singular weight for simple lattices of arbitrary level ⋮ Weak Siegel-Weil formula for 𝕄₂(ℚ) and arithmetic on quaternions ⋮ Regularized theta lifts for orthogonal groups over totally real fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• CM-values of Hilbert modular functions
• Faltings heights of CM cycles and derivatives of \(L\)-functions
• Heegner points and derivatives of \(L\)-series
• Automorphic forms with singularities on Grassmannians
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• On the functional equations satisfied by Eisenstein series
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• Central derivatives of Eisenstein series and height pairings
• An explicit formula for local densities of quadratic forms
• On some explicit formulas in the theory of Weil representation
• Splitting metaplectic covers of dual reductive pairs
• On two geometric theta lifts
• On the pullback of an arithmetic theta function
• Sur la formule de Siegel dans la théorie des groupes classiques
• Borcherds products and arithmetic intersection theory on Hilbert modular surfaces
• Borcherds forms and generalizations of singular moduli
• On the Weil-Siegel formula II.
• CM values of automorphic Green functions on orthogonal groups over totally real fields
• Singular Moduli of Shimura Curves
• Modular Forms and Special Cycles on Shimura Curves. (AM-161)

This page was built for publication: Eisenstein series for \(\mathrm{SL}(2)\)