eBook ISBN:  9780821877579 
Product Code:  CONM/166.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877579 
Product Code:  CONM/166.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

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 ]