Analytic Number Theory Proceedings of a Conference In Honor of Heini
On May 16 -20, 1995, approximately 150 mathematicians gathered at the Conference Center of the University of Illinois at Allerton Park for an Inter national Conference on Analytic Number Theory. The meeting marked the approaching official retirement of H
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Series Editors Hyman Bass Joseph Oesterle Alan Weinstein
Analytic Number Theory Volume 1 Proceedings of a Conference In Honor of Heini Halberstam
Bruce C. Berndt Harold G. Diamond Adolf J. Hildebrand Editors
Birkhauser Boston • Basel • Berlin
Bruce C. Berndt Harold G. Diamond Adolf J. Hildebrand Department of Mathematics University of Illinois Urbana, IL 61801
Printed on acid-free paper
© 1996 Birkhauser Boston Softcover reprint of the hardcover 1st edition 1996
Birkhiiuser
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Typesetting by the editors in 1l9'
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e-ISBN-13: 978-1-4612-4086-0
Contents of Volume 1 Contents of Volume 2 .................................................... vii Preface ................................................................... ix List of Participants ....................................................... xi Evening Programs ....................................................... xiii K. Alladi .................................................................. l Weighted partition identities and applications G. E. Andrews ........................................................... 17 Rogers-Ramanujan polynomials for modulus 6
J. Bae ................................................................... 31 On subset-sum-distinct sequences
R. C. Baker and G. Harman .............................................. 39 The Brun-Titchmarsh Theorem on average A. Balog, H. Darmon and K. Ono ....................................... 105 Congruences for Fourier coefficients of half-integral weight modular forms and special values of L-functions P. T. Bateman .......................................................... 129 The asymptotic formula for the number of representations of an integer as a sum of five squares P. Bleher and J. Bourgain ............................................... 141 Distribution of the error term for the number of lattice points inside a shifted ball N. Boston ............................................................... 155 A probabilistic generalization of the Riemann zeta function D. Bowman ............................................................. 163 A general Heine transformation and symmetric polynomials of Rogers D. Bradley ..............................................
