Electronic ISBN:  9780821877579 
Product Code:  CONM/166.E 
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Book DetailsContemporary MathematicsVolume: 166; 1994; 369 ppMSC: 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.
ReadershipResearch mathematicians.

Table of Contents

Articles

Bruce C. Berndt and Ronald J. Evans  On Rademacher’s multiplier system for the classical thetafunction [ MR 1284048 ]

Harvey Cohn and Marvin I. Knopp  Application of Dedekind etamultipliers 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 ${\rm GL}(2)$ RankinSelberg convolution for higher level noncuspidal 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 RogersRamanujan 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 arithmeticgeometric 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 PhragménLindelöf 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 ]


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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.
Research mathematicians.

Articles

Bruce C. Berndt and Ronald J. Evans  On Rademacher’s multiplier system for the classical thetafunction [ MR 1284048 ]

Harvey Cohn and Marvin I. Knopp  Application of Dedekind etamultipliers 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 ${\rm GL}(2)$ RankinSelberg convolution for higher level noncuspidal 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 RogersRamanujan 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 arithmeticgeometric 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 PhragménLindelöf 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 ]