scientific article

Publication date: 8 November 2006

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Paley-Wiener theorem Eisenstein series representations trace formula algebraic group endoscopy adeles

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

An infinitesimal variant of the Guo-Jacquet trace formula. I: The case of $(\mathrm{GL}_{2n, D}, \mathrm{GL}_{n, D}\times \mathrm{GL}_{n, D})$, Explicit forms of the trace formula for $\mathrm{GL}(2)$, On combinatorics of the Arthur trace formula, convex polytopes, and toric varieties, Traceability of positive integral operators, The dimensions of spaces of Siegel cusp forms of general degree, On the cusp forms of congruence subgroups of an almost simple Lie group, Holomorphy of adjoint L-functions for $\mathrm{GL}(n):n\le 4$, On an invariant bilinear form on the space of automorphic forms via asymptotics, A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups, The residual spectrum of an inner form of 𝑆𝑝₈ supported in the minimal parabolic subgroup, On the spectrum and the topology of congruence hyperbolic varieties: the complex and quaternionic cases, An approximation principle for congruence subgroups. II: Application to the limit multiplicity problem, Generalized Shalika models of $p$-adic SO$_{4n}$ and functoriality, Counting local systems via the trace formula, The twisted group $\mathrm {GL}_N$ over a $p$-adic field. II, Level one algebraic cusp forms of classical groups of small rank, Counting and equidistribution for quaternion algebras, Equidistribution in supersingular Hecke orbits, Analytic torsion of arithmetic quotients of the symmetric space $\mathrm{SL} (n,\mathbb{R})/ \mathrm{SO}(n)$, On correspondences between certain automorphic forms on $\mathrm{Sp}_{4n} (\mathbb{A})$ and $\widetilde{\mathrm{Sp}}_{2n} (\mathbb{A})$, Distribution of Hecke Eigenvalues for GL(n), Zeta Functions for the Adjoint Action of GL(n) and Density of Residues of Dedekind Zeta Functions, Non-Siegel Eisenstein series for symplectic groups, TRUNCATED AFFINE SPRINGER FIBERS AND ARTHUR’S WEIGHTED ORBITAL INTEGRALS, Optimal Diophantine exponents for $\mathrm{SL}(n)$, A coarse geometric expansion of a variant of Arthur's truncated traces and some applications, The density hypothesis for horizontal families of lattices, Endoscopic transfer and automorphic L-functions: The case of the general spin group and the twisted symmetric and exterior square L-functions, Operator-valued frames for the Heisenberg group, A stratification related to characteristic polynomials, Siegel modular forms of degree three and the cohomology of local systems, Image of normalized intertwining operators and poles of the Eisenstein series, Galois representations arising from some compact Shimura varieties, On the spectral side of Arthur's trace formula -- absolute convergence, On the spectral side of Arthur's trace formula -- combinatorial setup, Endoscopic character identities for metaplectic groups, Some consequences of Arthur's work on the spectrum and topology of hyperbolic varieties, Exponents in Archimedean Arthur packets, The Trace Formula and the Proof of the Global Jacquet-Langlands Correspondence, Functoriality and the Trace Formula, Unnamed Item, $L$-functions of pairs for classical groups, The local Langlands conjecture for $\mathrm{GSp}(4)$. III: Stability and twisted endoscopy, The CLR inequality for dominated semigroups, On the Arthur-Selberg trace formula for $\mathrm{GL}(2)$, Explicit formulas for the spectral side of the trace formula of ${\rm SL(2)}$, An automorphic variant of a conjecture of Deligne, On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2, On a construction of certain classes of cuspidal automorphic forms via Poincaré series, On an algebraic approach to the Zelevinsky classification for classical $p$-adic groups, Probabilistic trace and Poisson summation formulae on locally compact abelian groups, The Hodge conjecture and arithmetic quotients of complex balls, Langlands Program, trace formulas, and their geometrization, On relative trace formulae: the case of Jacquet-Rallis, Arthur packets and the Ramanujan conjecture, On geometric density of Hecke eigenvalues for certain cusp forms, A relative trace identity between $\text{GL}_{2n}$ and $\widetilde{\text{Sp}}_n$, On the residual spectrum of split classical groups supported in the Siegel maximal parabolic subgroup, Symplectic supercuspidal representations and related problems, On the structure of the space of cusp forms for a semisimple group over a number field, Arithmetic applications of the Langlands program, On the cusp forms for the congruence subgroups of $\text{SL}_{2}(\mathbb R)$, The fundamental lemma for Lie algebras, Quantitative spectral gap for thin groups of hyperbolic isometries, Sur certains paquets d’Arthur et involution d’Aubert-Schneider-Stuhler généralisée, On the remainder term of the Weyl law for congruence subgroups of Chevalley groups, On the distribution of Satake parameters of $\text{GL}_2$ holomorphic cuspidal representations, Jacquet modules and the Langlands classification, Non-cuspidal square integrable automorphic forms., Stable conjugacy and epipelagic $L$-packets for Brylinski-Deligne covers of $\mathrm{Sp}(2n)$, Corps de nombres peu ramifiés et formes automorphes autoduales, Decomposition of quasi-regular representations induced from discrete subgroups of nilpotent Lie groups, Hankel transform, Langlands functoriality and functional equation of automorphic $L$-functions, APPROXIMATION OF -ANALYTIC TORSION FOR ARITHMETIC QUOTIENTS OF THE SYMMETRIC SPACE, AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONS, Character identities in the twisted endoscopy of real reductive groups, Sur le développement spectral de la formule des traces d’Arthur-Selberg sur les corps de fonctions, The geometric nature of the fundamental lemma, Zeta functions and the trace formula, Dimension formulas and kernel functions for Hilbert modular forms, Limit multiplicities for ${\text{SL}}_2(\mathcal{O}_F)$ in ${\text{SL}}_2(\mathbb{R}^{r_1}\oplus\mathbb{C}^{R_2})$, Bounds for global coefficients in the fine geometric expansion of Arthur's trace formula for GL($n$), Analytic torsion for arithmetic locally symmetric manifolds and approximation of $L^2$-torsion, An explicit construction of automorphic representations of the symplectic group with a given quadratic unipotent Arthur parameter, Low-lying zeros of $L$-functions for quaternion algebras