The Rademacher Legacy to Mathematics: The Centenary Conference in Honor of Hans Rademacher, July 21-25, 1992, the Pennsylvania State University

Front Cover
American Mathematical Soc., 1994 - Mathematics - 369 pages
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.
 

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Contents

On Rademachers multiplier system for the classical thetafunction
1
Application of Dedekind etamultipliers to modular equations
9
Singularities functional equations and the circle method
35
On Weyls inequality for eigenvalues
81
The GL2 RankinSelberg convolution for higher level noncuspidal forms
83
Congruences on the Fourier coefficients of modular forms on Γ0N
93
Diagonalizing Eisenstein series IV
107
Generalized Dedekind ηproducts
119
On the distribution of Dedekind sums
197
Wilfs conjecture and a generalization
211
An elementary proof of Wilfs conjecture
235
Cubic modular identities of Ramanujan hypergeometric functions and analogues of the arithmeticgeometric mean iteration
245
Residue periodicity in subgroup counting functions
265
Addition theorems for σfinite groups
275
On sums of three integral cubes
285
A note on character sums
295

Vanishing coefficients in the expansion of products of RogersRamanujan type
129
Schurs theorem Capparellis conjecture and qtrinomial coefficients
141
Modified convergence for qcontinued fractions defined by functional relations
155
A simple proof of an Aomoto type extension of the qMorris theorem
167
Congruences for certain generalized Frobenius partitions modulo p3
183
Some asymptotic formulae for Ramanujans mock theta functions
189
Large factors of small polynomials
301
Factors of period polynomials for finite fields I
309
The PhragménLindelöf theorem and modular elliptic curves
335
Multidimensional beta and gamma integrals
341
Rademacher calculus of variations inequalities and relative error
359
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