Contemporary Mathematics 1994; 369 pp; softcover Volume: 166 ISBN10: 082185173X ISBN13: 9780821851739 List Price: US$76 Member Price: US$60.80 Order Code: CONM/166
 This book contains papers presented at the Hans Rademacher Centenary Conference, held at Pennsylvania State University in July 1992. The astonishing breadth of Rademacher's mathematical interests is well represented in this volume. The papers collected here range over such topics as modular forms, partitions and \(q\)series, Dedekind sums, and Ramanujan type identities. Rounding out the volume is the opening paper, which presents a biography of Rademacher. This volume is a fitting tribute to a remarkable mathematician whose work continues to influence mathematics today. Readership Research mathematicians. Table of Contents  B. C. Berndt  Hans Rademacher 18921969
 B. C. Berndt and R. J. Evans  On Rademacher's multiplier system for the classical thetafunction
 H. Cohn and M. Knopp  Application of Dedekind etamultipliers to modular equations
 L. Ehrenpreis  Singularities, functional equations, and the circle method
 J. Lehner and G. M. Wing  On Weyl's inequality of eigenvalues
 D. B. Lieman  The \(GL(2)\) RankinSelberg convolution for higher level noncuspidal forms
 K. Ono  Congruences on the Fourier coefficients of modular forms on \(\Gamma _0(N)\)
 R. A. Rankin  Diagonalizing Eisenstein series IV
 S. Robins  Generalized Dedekind \(\eta\)products
 K. Alladi and B. Gordon  Vanishing coefficients in the expansion of products of RogersRamanujan type
 G. E. Andrews  Schur's theorem, Capparelli's conjecture and \(q\)trinomial coefficients
 D. Bowman  Modified convergence for \(q\)continued fractions defined by functional relations
 K. W. J. Kadell  A simple proof of an Aomoto type extension of the \(q\)Morris theorem
 L. W. Kolitsch  Congruences for certain generalized Frobenius partitions modulo \(p^3\)
 R. J. McIntosh  Some asymptotic formulae for Ramanujan's mock theta functions
 R. W. Bruggeman  On the distribution of Dedekind sums
 G. Almkvist  Wilf's conjecture and a generalization
 T. Dokshitzer  An elementary proof of Wilf's conjecture
 F. Garvan  Cubic modular identities of Ramanujan, hypergeometric functions and analogues of the arithmeticgeometric mean iteration
 M. Grady and M. Newman  Residue periodicity in subgroup counting functions
 X.D. Jia and M. B. Nathanson  Addition theorems for \(\sigma\)finite groups
 W. Conn and L. N. Vaserstein  On sums of three integral cubes
 J. B. Friedlander and H. Iwaniec  A note on character sums
 D. W. Boyd  Large factors of small polynomials
 S. Gurak  Factors of period polynomials for finite fields, I
 L. Mai and M. R. Murty  The PhragménLindelöf theorem and modular elliptic curves
 R. J. Evans  Multidimensional beta and gamma integrals
 K. B. Stolarsky  Rademacher, calculus of variations, inequalities and relative error
