The Rademacher legacy to mathematics : the centenary conference in honor of Hans Rademacher, July 21-25, 1992, the Pennsylvania State University / [electronic resource]
George E. Andrews, David M. Bressoud, L. Alayne Parson, editors.
- Providence, R.I. : American Mathematical Society, c1994.
- 1 online resource (xxxvi, 369 p. : ill.)
- Contemporary mathematics, v. 166 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 166. .
"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 / Application of Dedekind eta-multipliers to modular equations / Singularities, functional equations, and the circle method / On Weyl's inequality for eigenvalues / The $(2)$ Rankin-Selberg convolution for higher level non-cuspidal forms / Congruences on the Fourier coefficients of modular forms on $\Gamma _0(N)$ / Diagonalizing Eisenstein series. IV / Generalized Dedekind $\eta $-products / Vanishing coefficients in the expansion of products of Rogers-Ramanujan type / Schur's theorem, Capparelli's conjecture and $q$-trinomial coefficients / Modified convergence for $q$-continued fractions defined by functional relations / A simple proof of an Aomoto type extension of the $q$-Morris theorem / Congruences for certain generalized Frobenius partitions modulo $p^3$ / Some asymptotic formulae for Ramanujan's mock theta functions / On the distribution of Dedekind sums / Wilf's conjecture and a generalization / An elementary proof of Wilf's conjecture / Cubic modular identities of Ramanujan, hypergeometric functions and analogues of the arithmetic-geometric mean iteration / Residue periodicity in subgroup counting functions / Addition theorems for $\sigma $-finite groups / On sums of three integral cubes / A note on character sums / Large factors of small polynomials / Factors of period polynomials for finite fields. I / The Phragm�en-Lindel�of theorem and modular elliptic curves / Multidimensional beta and gamma integrals / Rademacher, calculus of variations, inequalities, and relative error / Bruce C. Berndt and Ronald J. Evans -- Harvey Cohn and Marvin I. Knopp -- Leon Ehrenpreis -- Joseph Lehner and G. Milton Wing -- Daniel B. Lieman -- Ken Ono -- Robert A. Rankin -- Sinai Robins -- Krishnaswami Alladi and Basil Gordon -- George E. Andrews -- Douglas Bowman -- Kevin W. J. Kadell -- Louis Worthy Kolitsch -- Richard J. McIntosh -- Roelof W. Bruggeman -- Gert Almkvist -- Tim Dokshitzer -- Frank Garvan -- Michael Grady and Morris Newman -- Xing De Jia and Melvyn B. Nathanson -- W. Conn and L. N. Vaserstein -- J. B. Friedlander and H. Iwaniec -- David W. Boyd -- S. Gurak -- Liem Mai and M. Ram Murty -- Ronald J. Evans -- Kenneth B. Stolarsky -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01619 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01627 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01630 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01639 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01640 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01643 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01644 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01645 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01620 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01622 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01624 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01637 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01638 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01642 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01626 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01621 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01629 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01633 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01634 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01636 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01628 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01632 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01625 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01635 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01641 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01631 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01646
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821877579 (online)
Automorphic forms--Congresses.
Discontinuous functions--Congresses.
QA331 / .R33 1994
512/.73
"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 / Application of Dedekind eta-multipliers to modular equations / Singularities, functional equations, and the circle method / On Weyl's inequality for eigenvalues / The $(2)$ Rankin-Selberg convolution for higher level non-cuspidal forms / Congruences on the Fourier coefficients of modular forms on $\Gamma _0(N)$ / Diagonalizing Eisenstein series. IV / Generalized Dedekind $\eta $-products / Vanishing coefficients in the expansion of products of Rogers-Ramanujan type / Schur's theorem, Capparelli's conjecture and $q$-trinomial coefficients / Modified convergence for $q$-continued fractions defined by functional relations / A simple proof of an Aomoto type extension of the $q$-Morris theorem / Congruences for certain generalized Frobenius partitions modulo $p^3$ / Some asymptotic formulae for Ramanujan's mock theta functions / On the distribution of Dedekind sums / Wilf's conjecture and a generalization / An elementary proof of Wilf's conjecture / Cubic modular identities of Ramanujan, hypergeometric functions and analogues of the arithmetic-geometric mean iteration / Residue periodicity in subgroup counting functions / Addition theorems for $\sigma $-finite groups / On sums of three integral cubes / A note on character sums / Large factors of small polynomials / Factors of period polynomials for finite fields. I / The Phragm�en-Lindel�of theorem and modular elliptic curves / Multidimensional beta and gamma integrals / Rademacher, calculus of variations, inequalities, and relative error / Bruce C. Berndt and Ronald J. Evans -- Harvey Cohn and Marvin I. Knopp -- Leon Ehrenpreis -- Joseph Lehner and G. Milton Wing -- Daniel B. Lieman -- Ken Ono -- Robert A. Rankin -- Sinai Robins -- Krishnaswami Alladi and Basil Gordon -- George E. Andrews -- Douglas Bowman -- Kevin W. J. Kadell -- Louis Worthy Kolitsch -- Richard J. McIntosh -- Roelof W. Bruggeman -- Gert Almkvist -- Tim Dokshitzer -- Frank Garvan -- Michael Grady and Morris Newman -- Xing De Jia and Melvyn B. Nathanson -- W. Conn and L. N. Vaserstein -- J. B. Friedlander and H. Iwaniec -- David W. Boyd -- S. Gurak -- Liem Mai and M. Ram Murty -- Ronald J. Evans -- Kenneth B. Stolarsky -- http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01619 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01627 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01630 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01639 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01640 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01643 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01644 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01645 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01620 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01622 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01624 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01637 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01638 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01642 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01626 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01621 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01629 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01633 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01634 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01636 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01628 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01632 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01625 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01635 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01641 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01631 http://www.ams.org/conm/166/ http://dx.doi.org/10.1090/conm/166/01646
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821877579 (online)
Automorphic forms--Congresses.
Discontinuous functions--Congresses.
QA331 / .R33 1994
512/.73