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The Rademacher legacy to mathematics : [electronic resource] the centenary conference in honor of Hans Rademacher, July 21-25, 1992, the Pennsylvania State University / George E. Andrews, David M. Bressoud, L. Alayne Parson, editors.

Contributor(s): Rademacher, Hans, 1892-1969 | Andrews, George E, 1938- | Bressoud, David M, 1950- | Parson, L. Alayne, 1947- | Hans Rademacher Centenary Conference (1992 : Pennsylvania State University)Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 166.Publication details: Providence, R.I. : American Mathematical Society, c1994Description: 1 online resource (xxxvi, 369 p. : ill.)ISBN: 9780821877579 (online)Subject(s): Automorphic forms -- Congresses | Discontinuous functions -- CongressesAdditional physical formats: Rademacher legacy to mathematics :DDC classification: 512/.73 LOC classification: QA331 | .R33 1994Online resources: Contents | Contents

Contents:

On Rademacher's multiplier system for the classical theta-function / Bruce C. Berndt and Ronald J. Evans -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01619 Application of Dedekind eta-multipliers to modular equations / Harvey Cohn and Marvin I. Knopp -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01627 Singularities, functional equations, and the circle method / Leon Ehrenpreis -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01630 On Weyl's inequality for eigenvalues / Joseph Lehner and G. Milton Wing -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01639 The ${\rm GL}(2)$ Rankin-Selberg convolution for higher level non-cuspidal forms / Daniel B. Lieman -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01640 Congruences on the Fourier coefficients of modular forms on $\Gamma _0(N)$ / Ken Ono -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01643 Diagonalizing Eisenstein series. IV / Robert A. Rankin -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01644 Generalized Dedekind $\eta $-products / Sinai Robins -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01645 Vanishing coefficients in the expansion of products of Rogers-Ramanujan type / Krishnaswami Alladi and Basil Gordon -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01620 Schur's theorem, Capparelli's conjecture and $q$-trinomial coefficients / George E. Andrews -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01622 Modified convergence for $q$-continued fractions defined by functional relations / Douglas Bowman -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01624 A simple proof of an Aomoto type extension of the $q$-Morris theorem / Kevin W. J. Kadell -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01637 Congruences for certain generalized Frobenius partitions modulo $p^3$ / Louis Worthy Kolitsch -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01638 Some asymptotic formulae for Ramanujan's mock theta functions / Richard J. McIntosh -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01642 On the distribution of Dedekind sums / Roelof W. Bruggeman -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01626 Wilf's conjecture and a generalization / Gert Almkvist -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01621 An elementary proof of Wilf's conjecture / Tim Dokshitzer -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01629 Cubic modular identities of Ramanujan, hypergeometric functions and analogues of the arithmetic-geometric mean iteration / Frank Garvan -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01633 Residue periodicity in subgroup counting functions / Michael Grady and Morris Newman -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01634 Addition theorems for $\sigma $-finite groups / Xing De Jia and Melvyn B. Nathanson -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01636 On sums of three integral cubes / W. Conn and L. N. Vaserstein -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01628 A note on character sums / J. B. Friedlander and H. Iwaniec -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01632 Large factors of small polynomials / David W. Boyd -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01625 Factors of period polynomials for finite fields. I / S. Gurak -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01635 The Phragm�en-Lindel�of theorem and modular elliptic curves / Liem Mai and M. Ram Murty -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01641 Multidimensional beta and gamma integrals / Ronald J. Evans -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01631 Rademacher, calculus of variations, inequalities, and relative error / Kenneth B. Stolarsky -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01646

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"From July 21 to July 25, 1992 the Hans Rademacher Centenary Conference was held at the Pennsylvania State University"--Pref.

Includes bibliographical references.

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