$ 05a1911a2511e2511f3311f3711p8414k2517b6730b7033d15 1887-1920 abelianvarietiesandschemes additivenumbertheory;partitions algebraicgeometry arithmeticfunctions;relatednumbers;inversionformulas basichypergeometricfunctions basichypergeometricfunctionsinonevariable bijectivecombinatorics combinatorialidentities combinatorics computerscience congresses congruencesformodularand$p$-adicmodularforms discontinuousgroupsandautomorphicforms earlyworksto1800 elementarynumbertheory engineering engineeringmathematics enumerativecombinatorics farey formsandlinearalgebraicgroups formsofhalf-integerweight;nonholomorphicmodularforms functions functionsofacomplexvariable infinite kac-moody(super)algebras;extendedaffineliealgebras;toroidalliealgebras liealgebras liealgebrasandliesuperalgebras mathematicalanalysis mathematicalstatistics mathematics nonassociativeringsandalgebras numbertheory padéapproximant partitionidentities;identitiesofrogers-ramanujantype products ramanujanaiyangar science(general) series seriesexpansions special specialfunctions(33-xxdealswiththepropertiesoffunctionsasfunctions) srinivasa sumsofsquaresandrepresentationsbyotherparticularquadraticforms theta thetafunctions