From July 21 to July 25, 1992 the Hans Rademacher Centenary Conference was held at the Pennsylvania State UniversityPref.

Includes bibliographical references.

On Rademacher's multiplier system for the classical thetafunction ; Application of Dedekind etamultipliers to modular equations ; Singularities, functional equations, and the circle method ; On Weyl's inequality for eigenvalues ; The rm GL(2) RankinSelberg convolution for higher level noncuspidal forms ; Congruences on the Fourier coefficients of modular forms on Gamma _0(N) ; Diagonalizing Eisenstein series. IV ; Generalized Dedekind eta roducts ; Vanishing coefficients in the expansion of products of RogersRamanujan type ; Schur's theorem, Capparelli's conjecture and rinomial coefficients ; Modified convergence for ontinued fractions defined by functional relations ; A simple proof of an Aomoto type extension of the orris theorem ; Congruences for certain generalized Frobenius partitions modulo ^3 ; Some asymptotic formulae for Ramanujan's mock theta functions ; On the distribution of Dedekind sums ; Wilf's conjecture and a generalization ; An elementary proof of Wilf's conjecture ; Cubic modular identities of Ramanujan, hypergeometric functions and analogues of the arithmeticgeometric mean iteration ; Residue periodicity in subgroup counting functions ; Addition theorems for sigma inite groups ; On sums of three integral cubes ; A note on character sums ; Large factors of small polynomials ; Factors of period polynomials for finite fields. I ; The PhragmenLindelof theorem and modular elliptic curves ; Multidimensional beta and gamma integrals ; Rademacher, calculus of variations, inequalities, and relative error Bruce C Berndt and Ronald J Evans ; Harvey Cohn and Marvin I Knopp ; Leon Ehrenpreis ; Joseph Lehner and G Milton Wing ; Daniel B Lieman ; Ken Ono ; Robert A Rankin ; Sinai Robins ; Krishnaswami Alladi and Basil Gordon ; George E Andrews ; Douglas Bowman ; Kevin W J Kadell ; Louis Worthy Kolitsch ; Richard J McIntosh ; Roelof W Bruggeman ; Gert Almkvist ; Tim Dokshitzer ; Frank Garvan ; Michael Grady and Morris Newman ; Xing De Jia and Melvyn B Nathanson ; W Conn and L N Vaserstein ; J B Friedlander and H Iwaniec ; David W Boyd ; S Gurak ; Liem Mai and M Ram Murty ; Ronald J Evans ; Kenneth B Stolarsky