05409nam 22007933 450 991095622380332120231110214343.097814704634341470463431(CKB)4100000011946743(MiAaPQ)EBC6631708(Au-PeEL)EBL6631708(OCoLC)1255234364(RPAM)22019892(PPN)256596174(EXLCZ)99410000001194674320210901d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierHecke Operators and Systems of Eigenvalues on Siegel Cusp Forms1st ed.Providence :American Mathematical Society,2021.©2020.1 online resource (177 pages)Memoirs of the American Mathematical Society ;v.2689781470443344 1470443341 Includes bibliographical references and index.Action of double cosets -- Satake's isomorphisms and Hecke operators -- Estimates for all the eigenvalues of Hecke operators on Siegel cusp forms -- The generalized Ramanujan conjecture in Siegel modular case -- p-Parameters of Siegel cusp eigenforms -- Some applications -- Langlands' L-parameters.Memoirs of the American Mathematical Society Cusp forms (Mathematics)Hecke operatorsEigenvaluesSiegel domainsNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Siegel modular groups;mscNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Hecke-Petersson operatomscNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Modular correspondencesmscNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Holomorphic modular formscNumber theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Varieties over finite and local fields [See also 14G15, 14G20]mscAlgebraic geometry -- Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] -- Rigid analytic geometrymscAlgebraic geometry -- (Co)homology theory [See also 13Dxx] -- $p$-adic cohomology, crystalline cohomologymscAlgebraic geometry -- (Co)homology theory [See also 13Dxx] -- Étale and other Grothendieck topologies and (co)homologiesmscNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Representation-theoretimscCusp forms (Mathematics)Hecke operators.Eigenvalues.Siegel domains.Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Siegel modular groups;Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Hecke-Petersson operatoNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Modular correspondencesNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Holomorphic modular forNumber theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Varieties over finite and local fields [See also 14G15, 14G20].Algebraic geometry -- Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] -- Rigid analytic geometry.Algebraic geometry -- (Co)homology theory [See also 13Dxx] -- $p$-adic cohomology, crystalline cohomology.Algebraic geometry -- (Co)homology theory [See also 13Dxx] -- Étale and other Grothendieck topologies and (co)homologies.Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Representation-theoreti512.711F4611F6011F3211F1111G2514G2214F3014F2011F70mscHatada Kazuyuki1802247MiAaPQMiAaPQMiAaPQBOOK9910956223803321Hecke Operators and Systems of Eigenvalues on Siegel Cusp Forms4347819UNINA