# The Rademacher Legacy to Mathematics

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*George E. Andrews; David M. Bressoud; L. Alayne Parson*

#### Readership

Research mathematicians.

# Table of Contents

## The Rademacher Legacy to Mathematics

- Contents vii8 free
- Preface xi12 free
- Hans Rademacher 1892–1969 xiii14 free
- On Rademacher's multiplier system for the classical theta-function 138 free
- Application of Dedekind eta-multipliers to modular equations 946
- Singularities, functional equations, and the circle method 3572
- On Weyl's inequality for eigenvalues 81118
- The GL(2) Rankin-Selberg convolution for higher level non-cuspidal forms 83120
- Congruences on the Fourier coefficients of modular forms on Γ0(N) 93130
- Diagonalizing Eisenstein series IV 107144
- Generalized Dedekind η-products 119156
- Vanishing coefficients in the expansion of products of Rogers-Ramanujan type 129166
- Schur's theorem, Capparelli's conjecture and q-trinomial coefficients 141178
- Modified convergence for q-continued fractions defined by functional relations 155192
- A simple proof of an Aomoto type extension of the q-Morris theorem 167204
- Congruences for certain generalized Frobenius partitions modulo p3 183220
- Some asymptotic formulae for Ramanujan's mock theta functions 189226
- On the distribution of Dedekind sums 197234
- Wilf's conjecture and a generalization 211248
- An elementary proof of Wilf's conjecture 235272
- Cubic modular identities of Ramanujan, hypergeometric functions and analogues of the arithmetic-geometric mean iteration 245282
- Residue periodicity in subgroup counting functions 265302
- Addition theorems for σ-finite groups 275312
- On sums of three integral cubes 285322
- A note on character sums 295332
- Large factors of small polynomials 301338
- Factors of period polynomials for finite fields, I 309346
- The Phragmén-Lindelöf theorem and modular elliptic curves 335372
- Multidimensional beta and gamma integrals 341378
- Rademacher, calculus of variations, inequalities, and relative error 359396