Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics (Hardcover, 2002)

Preface. Participants. Gaussian hypergeometric series and combinatorial congruences; S. Ahlgren. A double bounded key identity for Gollnitz's (BIG) partition theorem; K. Alladi, A. Berkovich. Engel expansions of q-series by computer algebra; G.E. Andrews, et al. Sums of squares and the preservation of modularity under congruence restrictions; P.T. Bateman, et al. On the transformation formula for the Dedekind eta-function; B.C. Berndt, K. Venkatachaliengar. Experiments and discoveries in q-trigonometry; R.Wm. Gosper. Algebraic consequences of Jacobi's two- and four-square theorems; M.D. Hirschhorn, J.A. Mc-Gowan. The Borweins' cubic theta functions and q-elliptic functions; R. Lewis, Z.-G. Liu. Some Eisenstein series identities associated with the Borwein functions; Z.-G. Liu. Hankel determinants of Eisenstein series; S.C. Milne. Jacobi's identity and two K3-surfaces; M. Murata. q-Random matrix ensembles; K.A. Muttalib, et al. Differential endomorphisms for modular forms; K. Ono. On the asymptotics of Takeuchi numbers; T. Prellberg. Fine-Tuning Zeilberger's Algorithm: The Methods of Automatic Filtering and Creative Substituting; A. Riese. Gaussian integrals and the Rogers-Ramanujan identities; D. Stanton. Some remarks on a product expansion: an unexplored partition function; M.V. Subbarao, A. Verma.