A CONFERENCE ON
Symbolic Computation, Number Theory,
Special Functions, Physics and
Combinatorics

November 11 - 13, 1999
University of Florida, Gainesville, FL 32611

Links to abstracts added.
Last update made Tue Nov 9 13:08:30 EST 1999.

Tentative Schedule

Location. All lectures are in Little Hall Room 339, also known as the Atrium.

Thursday, November 11, 1999

8:00 - 12:00 pm
Registration in Little Hall, Room 358, Reception Area

9:00 - 9:10am
Dean Willard Harrison, College of Liberal Arts & Sciences
Opening remarks

9:10-10:00am
George Andrews, Pennsylvania State University
Search Algorithms in the Study of q-Series

10:00-10:30am
BREAK

10:30-10:50am
Alexander Berkovich, University of Florida
A Double Bounded Key Identity for Göllnitz' (big) Partition Theorem

11:00-11:20am
Christian Krattenthaler, Vienna University
Variations of a Determinant By Andrews and Enumeration of Plane Partitions and Rhombus Tilings

11:30-11:50
Richard McIntosh, University of Regina
An Infinite Family of Mock Theta Functions

12:00-12:20
Youn-Seo Choi, Korean Advanced Institute of Science and Technology, Seoul
Two Identities for Tenth Order Mock Theta Functions in Ramanujan's Lost Notebook

12:20-2:00pm
LUNCH

2:00-2:50pm
Ken Ono, Pennsylvania State University and the University of Wisconsin at Madison
Congruences for p(n) and Some Questions of Serre on the Fourier Coefficients of Modular Forms

3:00-3:20pm
Dennis Eichhorn, University of Arizona
On the Divisibility of rk(n), the Number of Representations of n as a Sum of k Squares

3:20-3:40pm
BREAK

3:40-4:00pm
Marvin Knopp, Temple University
Sums of Squares and the SMUCR's Principle

4:05-4:20pm
Maki Murata, Pennsylvania State University
Modularity of Certain K3-surfaces

4:25-4:40pm
Rhiannon Weaver, Pennsylvania State University
New Congruences for the Partition Function

4:45-5:00pm
Jeremy Lovejoy, Pennsylvania State University
Divisibility and Distribution of Partitions into Distinct Parts


Dessert Party 8 - 10pm hosted by Krishna and Mathura Alladi

Friday, November 12, 1999

9:00-9:50am
Barry McCoy, Institute for Theoretical Physics, Stony Brook
Rogers-Ramanujan Identities in Statistical Mechanics and Conformal Field Theory

9:50-10:10am
BREAK

10:10-10:30am
Thomas Prellberg, Syracuse University
Partition Function Asymptotics for Two-dimensional Lattice Vesicles

10:40-11:00am
K.A. Muttalib, University of Florida
q-polynomials in Random Matrix Theory and the Physics of Multifractality

11:10-11:30am
Bruce Berndt, University of Illinois
On the Transformation Formula for the Dedekind Eta-Function

11:40-12:00
Heng-Huat Chan, National University of Singapore
A new class of series for 1/pi

12:00-2:00pm
LUNCH

2:00-2:50pm
Doron Zeilberger, Temple University
A Tutorial on Mint: Akalu Tefera's Brilliant Fully-Automated Implementation of the Continuous Multi-WZ Method

3:00-3:20pm
Peter Paule, RISC, Linz
Algorithmic Aspects of q-hypergeometric Summation

3:25-3:40pm
Axel Riese, RISC, Linz
Treating q-Identities with the Computer

3:40-4:00pm
BREAK

4:00-4:20pm
Wolfram Koepf, HTWK, Leipzig
A Maple Package on q-Hypergeometric Summation

4:30-4:50pm
M.V. Subbarao, University of Alberta
Remarks on Certain Product Expansions

5:00-5:20pm
Zhi-Guo Liu, Xinxiang Education College, P.R. China
Some Eisenstein Series Identities Associated with the Borweins' Functions


Conference Banquet 7:30 - 9:30pm at the University Centre Hotel

Saturday, November 13, 1999

8:30-9:20am
Sergei Suslov, Arizona State University
Basic Fourier Series: Introduction, Analytic and Numerical Investigation

9:20-9:40am
BREAK

9:40-10:00am
Steve Milne, Ohio State University
Some New Infinite Families of Eta Function Identities

10:10-10:30am
Charles Dunkl, University of Virginia
Orthogonal Polynomials of Types A and B and Computer Algebra Assistance

10:40-11:00am
Robert Gustafson, Texas A & M University
Rational Symmetric Functions on BCn

11:10-11:30am
Ira Gessel, Brandeis University
WZ Forms and Hypergeometric Summation Formulas

11:40-12:00
Richard Lewis, Sussex University
An Identity Relating a Theta Function and a Sum of Lambert Series

12:00-2:00pm
LUNCH

2:00-2:50pm
Dennis Stanton, University of Minnesota
Open Problems in q-series

3:00-3:20pm
David Bradley, University of Maine
Resolution of Some Open Problems Concerning Multiple Zeta Evaluations of Arbitrary Depth

3:30-3:50pm
Scott Ahlgren, Colgate University
Gaussian Hypergeometric Series, Elliptic Curves, and Combinatorial Congruences

3:50-4:10pm
BREAK

4:10-4:30pm
David and Gregory Chudnovsky, Polytechnic University
[David and Gregory's talk will be delivered by Mourad Ismail]
Orthogonal Polynomials and the Solution of the Pulse Width Modulation Problem

4:40-5:00pm
John Brillhart, University of Arizona
Reverting the Power Series for Real Elliptic Integrals of the First Kind

5:10-5:30pm
Liang-Chang Zhang, Southwest Missouri State University
Explicit Evaluation of a Ramanujan-Selberg Continued Fraction


Dessert Party 8 - 10pm hosted by Frank and Cyndi Garvan


Last update made Tue Nov 9 13:08:30 EST 1999.