$ 05a1911a2511e2511f3311f3711p8414k2517b6730b7033d15 11d4111g0511f1111f8011g18 11fxx11f0311f1111f2011f2511f2711f3011f3311f3711f4111f50 1887-1920 58j5358j5058j5165n2535p1511f7253c2034l1534e0557r18 abelianvarietiesandschemes additivenumbertheory;partitions algebraicgeometry algebraicnumbertheory analysisonmanifolds arithmeticalgebraicgeometry(diophantinegeometry) arithmeticaspectsofmodularandshimuravarieties arithmeticfunctions;relatednumbers;inversionformulas asymptoticexpansions asymptotictheory basichypergeometricfunctions basichypergeometricfunctionsinonevariable bijectivecombinatorics boundaryvalueproblems combinatorialidentities combinatorics congresses congruencesformodularand$p$-adicmodularforms continuedfractions differentialgeometry differentialtopology diophantineequations eigenvalueproblems eigenvalues elementarynumbertheory ellipticcurvesoverglobalfields enumerativecombinatorics estimationofeigenvalues fermat'slasttheorem forms forms(mathematics) formsandlinearalgebraicgroups formsofhalf-integerweight;nonholomorphicmodularforms functions functionsofacomplexvariable galoisrepresentations globalanalysis globaldifferentialgeometry globalriemanniangeometry higherdegreeequations;fermat'sequation holomorphicmodularformsofintegralweight includingpinching isospectrality kac-moody(super)algebras;extendedaffineliealgebras;toroidalliealgebras liealgebras liealgebrasandliesuperalgebras manifoldsandcellcomplexes modular nonassociativeringsandalgebras numbertheory numericalanalysis ordinarydifferentialequations ordinarydifferentialoperators partialdifferentialequations partialdifferentialequationsonmanifolds;differentialoperators partitionidentities;identitiesofrogers-ramanujantype ramanujanaiyangar relationsbetweenspectraltheoryandergodictheory seriesexpansions specialfunctions(33-xxdealswiththepropertiesoffunctionsasfunctions) spectralgeometry spectralproblems;spectralgeometry;scatteringtheory spectraltheory;selbergtraceformula spectraltheoryandeigenvalueproblems srinivasa sumsofsquaresandrepresentationsbyotherparticularquadraticforms theta thetafunctions topologyandgeometryoforbifolds upperandlowerbounds