The Rademacher legacy to mathematics : the Centenary Conference in Honor of Hans Rademacher, July 21-25, 1992, the Pennsylvania State University
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書誌事項
The Rademacher legacy to mathematics : the Centenary Conference in Honor of Hans Rademacher, July 21-25, 1992, the Pennsylvania State University
（Contemporary mathematics, v. 166）
American Mathematical Society, c1994
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注記
Includes bibliographical references
"... Conference was held ... with support from the National Science Foudation, Grant No. DMS 9123821; and the National Security Agency, Grant No. MDA 904-92-H-3055; and the Institute for Mathematics and its Applications"--T.p. verso
内容説明・目次
内容説明
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.
目次
Hans Rademacher 1892-1969 by B. C. Berndt On Rademacher's multiplier system for the classical theta-function by B. C. Berndt and R. J. Evans Application of Dedekind eta-multipliers to modular equations by H. Cohn and M. Knopp Singularities, functional equations, and the circle method by L. Ehrenpreis On Weyl's inequality of eigenvalues by J. Lehner and G. M. Wing The $GL(2)$ Rankin-Selberg convolution for higher level non-cuspidal forms by D. B. Lieman Congruences on the Fourier coefficients of modular forms on $\Gamma_0(N)$ by K. Ono Diagonalizing Eisenstein series IV by R. A. Rankin Generalized Dedekind $\eta$-products by S. Robins Vanishing coefficients in the expansion of products of Rogers-Ramanujan type by K. Alladi and B. Gordon Schur's theorem, Capparelli's conjecture and $q$-trinomial coefficients by G. E. Andrews Modified convergence for $q$-continued fractions defined by functional relations by D. Bowman A simple proof of an Aomoto type extension of the $q$-Morris theorem by K. W. J. Kadell Congruences for certain generalized Frobenius partitions modulo $p^3$ by L. W. Kolitsch Some asymptotic formulae for Ramanujan's mock theta functions by R. J. McIntosh On the distribution of Dedekind sums by R. W. Bruggeman Wilf's conjecture and a generalization by G. Almkvist An elementary proof of Wilf's conjecture by T. Dokshitzer Cubic modular identities of Ramanujan, hypergeometric functions and analogues of the arithmetic-geometric mean iteration by F. Garvan Residue periodicity in subgroup counting functions by M. Grady and M. Newman Addition theorems for $\sigma$-finite groups by X.-D. Jia and M. B. Nathanson On sums of three integral cubes by W. Conn and L. N. Vaserstein A note on character sums by J. B. Friedlander and H. Iwaniec Large factors of small polynomials by D. W. Boyd Factors of period polynomials for finite fields, I by S. Gurak The Phragmen-Lindelof theorem and modular elliptic curves by L. Mai and M. R. Murty Multidimensional beta and gamma integrals by R. J. Evans Rademacher, calculus of variations, inequalities and relative error by K. B. Stolarsky.
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