Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
The Rademacher Legacy to Mathematics
 
Edited by: George E. Andrews Pennsylvania State University, University Park, PA
David M. Bressoud Macalester College, St. Paul, MN
L. Alayne Parson Ohio State University, Columbus, OH
Front Cover for The Rademacher Legacy to Mathematics
Available Formats:
Electronic ISBN: 978-0-8218-7757-9
Product Code: CONM/166.E
List Price: $76.00
MAA Member Price: $68.40
AMS Member Price: $60.80
Front Cover for The Rademacher Legacy to Mathematics
Click above image for expanded view
  • Front Cover for The Rademacher Legacy to Mathematics
  • Back Cover for The Rademacher Legacy to Mathematics
The Rademacher Legacy to Mathematics
Edited by: George E. Andrews Pennsylvania State University, University Park, PA
David M. Bressoud Macalester College, St. Paul, MN
L. Alayne Parson Ohio State University, Columbus, OH
Available Formats:
Electronic ISBN:  978-0-8218-7757-9
Product Code:  CONM/166.E
List Price: $76.00
MAA Member Price: $68.40
AMS Member Price: $60.80
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1661994; 369 pp
    MSC: Primary 11;

    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.

    Readership

    Research mathematicians.

  • Table of Contents
     
     
    • Articles
    • Bruce C. Berndt and Ronald J. Evans - On Rademacher’s multiplier system for the classical theta-function [ MR 1284048 ]
    • Harvey Cohn and Marvin I. Knopp - Application of Dedekind eta-multipliers to modular equations [ MR 1284049 ]
    • Leon Ehrenpreis - Singularities, functional equations, and the circle method [ MR 1284050 ]
    • Joseph Lehner and G. Milton Wing - On Weyl’s inequality for eigenvalues [ MR 1284051 ]
    • Daniel B. Lieman - The ${\rm GL}(2)$ Rankin-Selberg convolution for higher level non-cuspidal forms [ MR 1284052 ]
    • Ken Ono - Congruences on the Fourier coefficients of modular forms on $\Gamma _0(N)$ [ MR 1284053 ]
    • Robert A. Rankin - Diagonalizing Eisenstein series. IV [ MR 1284054 ]
    • Sinai Robins - Generalized Dedekind $\eta $-products [ MR 1284055 ]
    • Krishnaswami Alladi and Basil Gordon - Vanishing coefficients in the expansion of products of Rogers-Ramanujan type [ MR 1284056 ]
    • George E. Andrews - Schur’s theorem, Capparelli’s conjecture and $q$-trinomial coefficients [ MR 1284057 ]
    • Douglas Bowman - Modified convergence for $q$-continued fractions defined by functional relations [ MR 1284058 ]
    • Kevin W. J. Kadell - A simple proof of an Aomoto type extension of the $q$-Morris theorem [ MR 1284059 ]
    • Louis Worthy Kolitsch - Congruences for certain generalized Frobenius partitions modulo $p^3$ [ MR 1284060 ]
    • Richard J. McIntosh - Some asymptotic formulae for Ramanujan’s mock theta functions [ MR 1284061 ]
    • Roelof W. Bruggeman - On the distribution of Dedekind sums [ MR 1284062 ]
    • Gert Almkvist - Wilf’s conjecture and a generalization [ MR 1284063 ]
    • Tim Dokshitzer - An elementary proof of Wilf’s conjecture [ MR 1284064 ]
    • Frank Garvan - Cubic modular identities of Ramanujan, hypergeometric functions and analogues of the arithmetic-geometric mean iteration [ MR 1284065 ]
    • Michael Grady and Morris Newman - Residue periodicity in subgroup counting functions [ MR 1284066 ]
    • Xing De Jia and Melvyn B. Nathanson - Addition theorems for $\sigma $-finite groups [ MR 1284067 ]
    • W. Conn and L. N. Vaserstein - On sums of three integral cubes [ MR 1284068 ]
    • J. B. Friedlander and H. Iwaniec - A note on character sums [ MR 1284069 ]
    • David W. Boyd - Large factors of small polynomials [ MR 1284070 ]
    • S. Gurak - Factors of period polynomials for finite fields. I [ MR 1284071 ]
    • Liem Mai and M. Ram Murty - The Phragmén-Lindelöf theorem and modular elliptic curves [ MR 1284072 ]
    • Ronald J. Evans - Multidimensional beta and gamma integrals [ MR 1284073 ]
    • Kenneth B. Stolarsky - Rademacher, calculus of variations, inequalities, and relative error [ MR 1284074 ]
  • Request Review Copy
  • Get Permissions
Volume: 1661994; 369 pp
MSC: Primary 11;

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.

Readership

Research mathematicians.

  • Articles
  • Bruce C. Berndt and Ronald J. Evans - On Rademacher’s multiplier system for the classical theta-function [ MR 1284048 ]
  • Harvey Cohn and Marvin I. Knopp - Application of Dedekind eta-multipliers to modular equations [ MR 1284049 ]
  • Leon Ehrenpreis - Singularities, functional equations, and the circle method [ MR 1284050 ]
  • Joseph Lehner and G. Milton Wing - On Weyl’s inequality for eigenvalues [ MR 1284051 ]
  • Daniel B. Lieman - The ${\rm GL}(2)$ Rankin-Selberg convolution for higher level non-cuspidal forms [ MR 1284052 ]
  • Ken Ono - Congruences on the Fourier coefficients of modular forms on $\Gamma _0(N)$ [ MR 1284053 ]
  • Robert A. Rankin - Diagonalizing Eisenstein series. IV [ MR 1284054 ]
  • Sinai Robins - Generalized Dedekind $\eta $-products [ MR 1284055 ]
  • Krishnaswami Alladi and Basil Gordon - Vanishing coefficients in the expansion of products of Rogers-Ramanujan type [ MR 1284056 ]
  • George E. Andrews - Schur’s theorem, Capparelli’s conjecture and $q$-trinomial coefficients [ MR 1284057 ]
  • Douglas Bowman - Modified convergence for $q$-continued fractions defined by functional relations [ MR 1284058 ]
  • Kevin W. J. Kadell - A simple proof of an Aomoto type extension of the $q$-Morris theorem [ MR 1284059 ]
  • Louis Worthy Kolitsch - Congruences for certain generalized Frobenius partitions modulo $p^3$ [ MR 1284060 ]
  • Richard J. McIntosh - Some asymptotic formulae for Ramanujan’s mock theta functions [ MR 1284061 ]
  • Roelof W. Bruggeman - On the distribution of Dedekind sums [ MR 1284062 ]
  • Gert Almkvist - Wilf’s conjecture and a generalization [ MR 1284063 ]
  • Tim Dokshitzer - An elementary proof of Wilf’s conjecture [ MR 1284064 ]
  • Frank Garvan - Cubic modular identities of Ramanujan, hypergeometric functions and analogues of the arithmetic-geometric mean iteration [ MR 1284065 ]
  • Michael Grady and Morris Newman - Residue periodicity in subgroup counting functions [ MR 1284066 ]
  • Xing De Jia and Melvyn B. Nathanson - Addition theorems for $\sigma $-finite groups [ MR 1284067 ]
  • W. Conn and L. N. Vaserstein - On sums of three integral cubes [ MR 1284068 ]
  • J. B. Friedlander and H. Iwaniec - A note on character sums [ MR 1284069 ]
  • David W. Boyd - Large factors of small polynomials [ MR 1284070 ]
  • S. Gurak - Factors of period polynomials for finite fields. I [ MR 1284071 ]
  • Liem Mai and M. Ram Murty - The Phragmén-Lindelöf theorem and modular elliptic curves [ MR 1284072 ]
  • Ronald J. Evans - Multidimensional beta and gamma integrals [ MR 1284073 ]
  • Kenneth B. Stolarsky - Rademacher, calculus of variations, inequalities, and relative error [ MR 1284074 ]
Please select which format for which you are requesting permissions.