$ 1887-1920 abelianvarietiesandschemes additivenumbertheory;partitions algebraicgeometry arithmeticfunctions;relatednumbers;inversionformulas basichypergeometricfunctions basichypergeometricfunctionsinonevariable bijectivecombinatorics combinatorialidentities combinatorics congresses congruencesformodularand$p$-adicmodularforms continuedfractions discontinuousgroupsandautomorphicforms elementarynumbertheory enumerativecombinatorics formsandlinearalgebraicgroups formsofhalf-integerweight;nonholomorphicmodularforms functions functionsofacomplexvariable kac-moody(super)algebras;extendedaffineliealgebras;toroidalliealgebras liealgebras liealgebrasandliesuperalgebras nonassociativeringsandalgebras numbertheory partitionidentities;identitiesofrogers-ramanujantype ramanujanaiyangar seriesexpansions specialfunctions(33-xxdealswiththepropertiesoffunctionsasfunctions) srinivasa sumsofsquaresandrepresentationsbyotherparticularquadraticforms theta thetafunctions