LEADER 05474nam 22008173 450 001 9910956223803321 005 20231110214343.0 010 $a9781470463434 010 $a1470463431 035 $a(CKB)4100000011946743 035 $a(MiAaPQ)EBC6631708 035 $a(Au-PeEL)EBL6631708 035 $a(OCoLC)1255234364 035 $a(RPAM)22019892 035 $a(PPN)256596174 035 $a(BIP)78590644 035 $a(EXLCZ)994100000011946743 100 $a20210901d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHecke Operators and Systems of Eigenvalues on Siegel Cusp Forms 205 $a1st ed. 210 1$aProvidence :$cAmerican Mathematical Society,$d2021. 210 4$d©2020. 215 $a1 online resource (177 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vv.268 311 08$a9781470443344 311 08$a1470443341 320 $aIncludes bibliographical references and index. 327 $aAction 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. 330 $aView the abstract. 410 0$aMemoirs of the American Mathematical Society 606 $aCusp forms (Mathematics) 606 $aHecke operators 606 $aEigenvalues 606 $aSiegel domains 606 $aNumber 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;$2msc 606 $aNumber 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 operato$2msc 606 $aNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Modular correspondences$2msc 606 $aNumber 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 for$2msc 606 $aNumber theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Varieties over finite and local fields [See also 14G15, 14G20]$2msc 606 $aAlgebraic geometry -- Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] -- Rigid analytic geometry$2msc 606 $aAlgebraic geometry -- (Co)homology theory [See also 13Dxx] -- $p$-adic cohomology, crystalline cohomology$2msc 606 $aAlgebraic geometry -- (Co)homology theory [See also 13Dxx] -- A?‰tale and other Grothendieck topologies and (co)homologies$2msc 606 $aNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Representation-theoreti$2msc 615 0$aCusp forms (Mathematics) 615 0$aHecke operators. 615 0$aEigenvalues. 615 0$aSiegel domains. 615 7$aNumber 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; 615 7$aNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Hecke-Petersson operato 615 7$aNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Modular correspondences 615 7$aNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Holomorphic modular for 615 7$aNumber theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Varieties over finite and local fields [See also 14G15, 14G20]. 615 7$aAlgebraic geometry -- Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] -- Rigid analytic geometry. 615 7$aAlgebraic geometry -- (Co)homology theory [See also 13Dxx] -- $p$-adic cohomology, crystalline cohomology. 615 7$aAlgebraic geometry -- (Co)homology theory [See also 13Dxx] -- A?‰tale and other Grothendieck topologies and (co)homologies. 615 7$aNumber theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Representation-theoreti 676 $a512.7 686 $a11F46$a11F60$a11F32$a11F11$a11G25$a14G22$a14F30$a14F20$a11F70$2msc 700 $aHatada$b Kazuyuki$01802247 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910956223803321 996 $aHecke Operators and Systems of Eigenvalues on Siegel Cusp Forms$94347819 997 $aUNINA