The Rademacher Legacy to Mathematics.
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 for...
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| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
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Providence :
American Mathematical Society,
1994
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| Series: | Contemporary Mathematics Ser.
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| Local Note: | ProQuest Ebook Central |
Table of Contents:
- Intro; Contents; Preface; Hans Rademacher 1892â#x80;#x93;1969; On Rademacher's multiplier system for the classical theta-function; Application of Dedekind eta-multipliers to modular equations; Singularities, functional equations, and the circle method; On Weyl's inequality for eigenvalues; The GL(2) Rankin-Selberg convolution for higher level non-cuspidal forms; Congruences on the Fourier coefficients of modular forms on Î#x93;0(N); Diagonalizing Eisenstein series IV; Generalized Dedekind η-products; Vanishing coefficients in the expansion of products of Rogers-Ramanujan type.
- Schur's theorem, Capparelli's conjecture and q-trinomial coefficientsModified convergence for q-continued fractions defined by functional relations; A simple proof of an Aomoto type extension of the q-Morris theorem; Congruences for certain generalized Frobenius partitions modulo p3; 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 arithmetic-geometric mean iteration.
- Residue periodicity in subgroup counting functionsAddition theorems for Ï#x83;-finite 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 Phragmén-LindelÃœf theorem and modular elliptic curves; Multidimensional beta and gamma integrals; Rademacher, calculus of variations, inequalities, and relative error.
