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

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Brand new. We distribute directly for the publisher. 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. Read more Show Less

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Overview

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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Editorial Reviews

Booknews
Exploring the whole range of Rademacher's (1892-1969) mathematical interests, 27 papers discuss such topics as modular forms, partitions, Dedekind sums, and Ramanujan type identities. An introductory essay reviews his career. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

Table of Contents

Preface
Hans Rademacher 1892-1969
On Rademacher's multiplier system for the classical theta-function 1
Application of Dedekind eta-multipliers to modular equations 9
Singularities, functional equations, and the circle method 35
On Weyl's inequality for eigenvalues 81
The GL(2) Rankin-Selberg convolution for higher level non-cuspidal forms 83
Congruences on the Fourier coefficients of modular forms on [Gamma[subscript 0]](N) 93
Diagonalizing Eisenstein series IV 107
Generalized Dedekind [eta]-products 119
Vanishing coefficients in the expansion of products of Rogers-Ramanujan type 129
Schur's theorem, Capparelli's conjecture and q-trinomial coefficients 141
Modified convergence for q-continued fractions defined by functional relations 155
A simple proof of an Aomoto type extension of the q-Morris theorem 167
Congruences for certain generalized Frobenius partitions modulo p[superscript 3] 183
Some asymptotic formulae for Ramanujan's mock theta functions 189
On the distribution of Dedekind sums 197
Wilf's conjecture and a generalization 211
An elementary proof of Wilf's conjecture 235
Cubic modular identities of Ramanujan, hypergeometric functions and analogues of the arithmetic-geometric mean iteration 245
Residue periodicity in subgroup counting functions 265
Addition theorems for [sigma]-finite groups 275
On sums of three integral cubes 285
A note on character sums 295
Large factors of small polynomials 301
Factors of period polynomials for finite fields, I 309
The Phragmen-Lindelof 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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