scientific article

From MaRDI portal
Publication:3855289

zbMath0422.12007MaRDI QIDQ3855289

John Tate

Publication date: 1979


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



Related Items

Gross-Prasad periods for reducible representationsRankin-Selberg integrals for principal series representations of \(\mathrm{GL}(n)\)Models of curves over discrete valuation ringsInner product formula for Yoshida liftsModular forms of arbitrary even weight with no exceptional primesA nonvanishing result for twists of \(L\)-functions of \(\text{GL}(n)\)Epsilon factors of symplectic type characters in the wild caseLocal signs and Tamagawa numbersHolomorphy of adjoint L-functions for \(\mathrm{GL}(n):n\le 4\)Orthogonality of invariant vectorsAverages of central \(L\)-values of Hilbert modular forms with an application to subconvexityGalois representations.Euler factors determine local Weil representationsHypercohomology of toral complexes and Langlands parametrizationEstimates for character sums in number fieldsOn the metaplectic analog of Kazhdan's ``endoscopic liftingThe split case of the Prasad-Takloo-Bighash conjecture for cuspidal representations of level zeroRankin-Selberg integrals for \(\operatorname{SO}_{2n+1}{\times}\operatorname{GL}_r\) attached to newforms and oldformsp-adic measures attached to automorphic representations of GL(3)Rigid inner forms of real and \(p\)-adic groupsLanglands classification for L-parametersRoot numbers and algebraic points on elliptic surfaces with base \(\mathbb{P}^1\)On the conductors of mod \(\ell\) Galois representations coming from modular formsA unitarity criterion for p-adic groupsArithmetic invariants of discrete Langlands parametersAn automorphic generalization of the Hermite-Minkowski theoremExponential sums for \(GL(n)\) and their applications to base changeTwisting formula of epsilon factorsTest vectors for local periodsDiscrete series multiplicities for classical groups over \(\mathbb{Z}\) and level 1 algebraic cusp forms\(\ell\)-independence for a system of motivic representationsModular multiplicities and representations of \(\text{GL}_2(\mathbb Z_p)\) and \(\text{Gal}(\overline{\mathbb Q}_p/\mathbb Q_p)\) at \(\ell=p\)Determination of cusp forms on \(\mathrm{GL}(2)\) by coefficients restricted to quadratic subfields (with an appendix by Dipendra Prasad and Dinakar Ramakrishnan)Multiplicity one, local and global conjugacyOn the \(p\)-adic Langlands correspondence for algebraic toriLocal \(L\) and epsilon factors in Hecke eigenvaluesIndependence of \(\ell\)-adic representations of geometric Galois groupsConstructing Hilbert modular forms without exceptional primesDistribution of periodic torus orbits and Duke's theorem for cubic fieldsGalois representations arising from some compact Shimura varietiesComputation of the lambda function for a finite Galois extensionOn the local Artin conductor \(\mathfrak f_{\text{Artin}}(\chi)\) of a character \(\chi\) of \(\text{Gal}(E/K)\). II: Main results for the metabelian caseModularity of Galois representations.L-indistinguishability and R groups for the special linear groupÜber die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher CharakteristikCompleting an extension of Tunnell's theoremGamma factors for the Asai cube representationNon-abelian congruences between \(L\)-values of elliptic curvesThe generic dual of \(p\)-adic split \(\mathrm{SO}_{2n}\) and local Langlands parametersLevel raising and symmetric power functoriality. IIRestriction of the holomorphic cohomology of a Shimura variety to a smaller Shimura variety.On the gamma factor of the triple \(L\)-function. ILocal indecomposability of Hilbert modular Galois representationsOn the theory of normalized Shintani \(L\)-functions and its application to Hecke \(L\)-functions. I. Real quadratic fieldsSubgroups of \(\mathrm{Spin}(7)\) or \(\mathrm{SO}(7)\) with each element conjugate to some element of \(\mathrm{G}_2\) and applications to automorphic formsLocal Langlands correspondence for even orthogonal groups via theta liftsAlgebraicity of the near central non-critical values of symmetric fourth \(L\)-functions for Hilbert modular formsHeegner cycles and \(p\)-adic \(L\)-functionsTwisted endoscopy and reducibility of induced representations for \(p\)- adic groupsOn the relative twist formula of \(\ell\)-adic sheavesSpecial value formula for the twisted triple product \(L\)-function and an application to the restricted \(L^2\)-norm problemRelative functoriality and functional equations via trace formulasEndoscopic character identities for depth-zero supercuspidal \(L\)-packetsOn the non-vanishing of \(p\)-adic heights on CM abelian varieties, and the arithmetic of Katz \(p\)-adic \(L\)-functionsComputing the average root number of an elliptic surfaceRoot numbers for the Jacobian varieties of Fermat curvesOn a strange invariant bilinear form on the space of automorphic formsSpectral transfer morphisms for unipotent affine Hecke algebrasThe Weil-étale topology for number ringsPlancherel formula for \(\mathrm{GL}_n(F)\setminus \mathrm{GL}_n(E)\) and applications to the Ichino-Ikeda and formal degree conjectures for unitary groupsOn primitive \(p\)-adic Rankin-Selberg \(L\)-functionsOn the growth of cuspidal cohomology of \(\operatorname{GL}_4\)On twisted exterior and symmetric square \(\gamma\)-factorsFun with \(\mathbb F_1\)On the adjoint \(L\)-function of the \(p\)-adic \(\text{GSp}(4)\)Transfer operators and Hankel transforms between relative trace formulas. I: Character theoryIntertwining operators and residues. I: Weighted charactersAbelian surfaces over totally real fields are potentially modularOn the local Langlands conjecture for \(\text{GL}_n\)Some remarks on representations of a division algebra and of the Galois group of a local fieldRankin-Selberg \(L\)-functions via good sectionsTheta lifting for tempered representations of real unitary groupsKirillov theory for \(GL_2 ({\mathcal D})\) where \({\mathcal D}\) is a division algebra over a non-Archimedean local fieldTriple product \(p\)-adic \(L\)-function attached to \(p\)-adic families of modular formsA construction of \(p\)-adic Asai \(L\)-functions for \(\mathrm{GL}_2\) over CM fieldsAlgebraicity of critical values of adjoint \(L\)-functions for \(\mathrm{GSp}_4\)The universal \(p\)-adic Gross-Zagier formulaRoot number of the Jacobian of \(y^2 = x^p+a\)Motivic \(\varepsilon\)-factors at infinity and regularized dimensionsQuadratic base change for \(p\)-adic \(\text{SL}(2)\) as a theta correspondence. III. Pairing.Class fields of abelian extensions of \(\mathbb Q\)On the Archimedean Euler factors for spin \(L\)-functionsOn the holomorphy on certain non-Abelian L-seriesRepresentations of tamely ramified p-adic division and matrix algebrasStable trace formula: Cuspidal tempered termsBeyond the spherical sup-norm problemA Pólya-Hilbert operator for automorphic \(L\)-functionsOn liftings and cusp cohomology of arithmetic groupsOn certain Dirichlet series associated with automorphic forms on SL(2,\({\mathbb{C}})\)Coherent cohomology, limits of discrete series, and Galois conjugationp-adic L-functions via local–global interpolation: the case ofLocal exterior square and Asai \(L\)-functions for \(\operatorname{GL}(n)\) in odd characteristicModularity lifting theoremsRankin-Selberg convolutions for \(\mathrm{GL}(n) \times \mathrm{GL}(n)\) and \(\mathrm{GL} (n) \times \mathrm{GL} (n -1)\) for principal series representationsElliptic curves and modularityRANKIN–SELBERG INTEGRALS FOR LOCAL SYMMETRIC SQUARE FACTORS ON GL(2)Algebraicity of the central critical values of twisted triple product \(L\)-functionsLocal-global compatibility for regular algebraic cuspidal automorphic representations whenRelative trace formulae and the Gan-Gross-Prasad conjecturesOn Swan exponents of symmetric and exterior square Galois representationsOn Petersson norms of generic cusp forms and special values of adjoint L -functions for GSp4A simplified proof of Serre's conjectureLimit multiplicity for unitary groups and the stable trace formulaTwisted GGP problems and conjecturesTHE p-ADIC GROSS–ZAGIER FORMULA ON SHIMURA CURVES, II: NONSPLIT PRIMESRoot numbers and parity phenomenaLocal Galois representations of Swan conductor oneThe Manin constant and the modular degreeCongruences between modular formsExtendible functions and local root numbers: Remarks on a paper of R. P. LanglandsOn the Northcott property for special values of \(L\)-functionsQuadratic base change of \(\theta_{10}\)A converse theorem for epsilon factorsInvariance of the parity conjecture for $p$-Selmer groups of elliptic curves in a $D_{2p^{n}}$-extensionLa conjecture de Langlands locale pour $GL(3)$Depth and the Local Langlands CorrespondenceWeil groups and the distribution of prime idealsOn \(p\)-adic \(L\)-function associated with cusp forms on \(\mathrm{GL}_2\)Maximal varieties and the local Langlands correspondence for 𝐺𝐿(𝑛)Equivariant epsilon conjecture for 1-dimensional Lubin-Tate groupsReducibility of certain induced representations of \(E_6\) and \(E_7\)ON FORMAL DEGREES OF UNIPOTENT REPRESENTATIONSSato-Tate theorem for families and low-lying zeros of automorphic \(L\)-functions. Appendix A by Robert Kottwitz, and Appendix B by Raf Cluckers, Julia Gordon and Immanuel Halupczok.Automorphy of some residually dihedral Galois representationsNoncommutative geometry and motives: the thermodynamics of endomotivesUnnamed ItemThe value of the global intertwining operators on spherical vectorsUnnamed ItemUnnamed ItemOrdre de Bruhat et transfert : le cas réelOn the root numbers of abelian varieties with real multiplicationCounting automorphic forms on norm one toriOn p-adic L-functions attached to motives over ℚ IIOn a BSD-type formula for \(L\)-values of Artin twists of elliptic curvesLanglands program and Ramanujan Conjecture: A surveyA short proof for the relation between Weil indices and 𝜖-factorsDeformation Theory and Local-Global Compatibility of Langlands CorrespondencesLevel one algebraic cusp forms of classical groups of small rankThe Breuil-Mézard conjecture when \(l\neq p\)Explicit inner product formulas and Bessel period formulas for HST liftsOn the local Langlands correspondence and Arthur conjecture for even orthogonal groupsUnnamed ItemFamilies of L-Functions and Their SymmetryLocal distinction, quadratic base change and automorphic induction for \(\mathrm{GL}_n\)On Deligne's conjecture for symmetric fourth \(L\)-functions of Hilbert modular formsNon-commutative Iwasawa theory for elliptic curves with multiplicative reductionAlgebraicity of critical values of triple product \(L\)-functions in the balanced caseThe Kottwitz conjecture for unitary PEL-type Rapoport-Zink spacesLocal models for Galois deformation rings and applicationsDescent Construction for GSpin groupsArithmetic of hyperelliptic curves over local fieldsThe derivative formula of \(p\)-adic \(L\)-functions for imaginary quadratic fields at trivial zerosCharacteristic class and the 𝜖-factor of an étale sheafOperations on Integral Lifts of K(n)On the variation of the root number in families of elliptic curvesEpsilon factors as algebraic characters on the smooth dual of $\mathrm {GL}_n$Potential automorphy and change of weightVariations on a Theorem of TateArtin $L$-functions and normalization of intertwining operatorsInterpolation of hypergeometric ratios in a global field of positive characteristicBranching laws for classical groups: the non-tempered caseLocal Root Numbers for Heisenberg-Representations — Some Explicit ResultsLa conjecture de Langlands locale numérique pour ${\rm GL}(n)$Base change and \(K\)-theory for GL\((n)\)Parity of ranks for elliptic curves with a cyclic isogenyUnnamed ItemLocal factors valued in normal domainsOn a lifting problem of L-packetsGeneric transfer for general spin groupsThe weight in a Serre-type conjecture for tame \(n\)-dimensional Galois representations ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4676598 Formes non temp�r�es pour et conjectures de Bloch?Kato] ⋮ Automorphy of some residually \(S_5\) Galois representationsFormulas for central values of twisted spin $L$-functions attached to paramodular formsConductors of $\ell $-adic representationsGamma factors for the asai representation of \(\mathrm{GL}_2\)Archimedean Theory and 𝜖-Factors for the Asai Rankin-Selberg IntegralsOn local and global conjugacyCharacter sums, automorphic forms, equidistribution, and Ramanujan graphs Part I. The Kloosterman sum conjecture over function fieldsKazhdan-Lusztig representations and Whittaker space of some genuine representationsOn the functional equation of the normalized Shintani \(L\)-function of several variablesThe Breuil-Schneider Conjecture: A SurveySmoothness of definite unitary eigenvarieties at critical pointsTransfer of Siegel cusp forms of degree 2A note on quadratic twisting of epsilon factors for modular forms with arbitrary nebentypusUnnamed ItemUnnamed ItemBessel identities in the Waldspurger correspondence over the complex numbersOn the Kottwitz-Shelstad normalization of transfer factors for automorphic induction for GLnOn the density of rational points on rational elliptic surfacesCharacter identities in the twisted endoscopy of real reductive groupsLocal base change via Tate cohomologySATO–TATE EQUIDISTRIBUTION OF CERTAIN FAMILIES OF ARTIN -FUNCTIONSPlancherel measures for coverings of p-adic SL2(F)Theory of Fundamental Bessel Functions of High RankSur les représentations $l$-adiques associées aux formes modulaires de HilbertUnnamed ItemUnnamed ItemComplex orientations for 𝑇𝐻𝐻 of some perfectoid fieldsRegular supercuspidal representationsUnnamed ItemExplicit root numbers of abelian varietiesCorrespondance de Langlands locale pour GLn et conducteurs de pairesChangement de base pour les représentations tempérées des groupes réductifs réelsEndoscopic Classification of representations of Quasi-Split Unitary GroupsTate module and bad reductionExplicit determination of root numbers of abelian varietiesPullbacks of Hermitian Maass liftsOn the Sato-Tate conjecture for non-generic abelian surfacesGeneralized Heegner cycles and p-adic L-functions in a quaternionic settingLocal newforms for the general linear groups over a non-archimedean local fieldGENERALIZED ZETA INTEGRALS ON CERTAIN REAL PREHOMOGENEOUS VECTOR SPACESp-adic Measures for Hermitian Modular Forms and the Rankin–Selberg MethodRaising the level for